Physics Explained
Physics Explained
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What is the Heisenberg Uncertainty Principle? A wave packet approach
In this video I would like to answer a simple question: according to quantum mechanics, how do you describe a freely moving particle? It sounds simple, but what we will discover is that by attempting to answer this question, we will actually uncover one of the most profound ideas in physics, Heisenberg’s Uncertainty Principle, which tells us that it is impossible to simultaneously know where a particle is located, and how fast it is moving, implying that there is a fundamental limit to our knowledge of the physical universe. It is a principle that lies at the heart of quantum mechanics, and it has revolutionised our understanding of the fundamental laws of physics. So, buckle up, and get ready for the ride.
References for this video:
Quantum physics of atoms, molecules, solids, nuclei and particles - Eisberg and Resnick
A student's guide to the Schrodinger equation - Daniel A. Fleisch
Introduction to Quantum Mechanics - Griffiths and Schroeter
Introduction to Quantum Mechanics - Phillips
Vibrations and Waves - King
Gabor Representations - Caltech (www.its.caltech.edu/~matilde/GaborLocalization.pdf)
Wave Packets and Dispersion - Matthew Schwartz (scholar.harvard.edu/files/schwartz/files/lecture11-wavepackets.pdf)
The Quantum Story - Jim Baggot
Quantum Physics for Dummies - Steven Holzner
Thirty Years that Shook Physics - Gamow
Inward Bound - Abraham Pais
You can help support this channel via the Physics Explained Patreon account: www.patreon.com/physicsexplained
You can follow me on instagram: physics_explained_ig
You can follow me on Twitter: PhysicsExplain1
iopscience.iop.org/article/10.1088/1361-6552/acdbb0/meta
iopscience.iop.org/article/10.1088/1361-6552/acfe54
Переглядів: 262 235

Відео

What is Quantum Tunnelling?
Переглядів 237 тис.2 роки тому
This video explores one of the most fascinating and esoteric properties of quantum mechanics: quantum tunnelling. The video begins by explaining an apparent paradox involving alpha decay, and then goes on to show how the theory of quantum tunnelling can provide a solution. The Schrodinger equation is solved for a rectangular barrier, and the tunnelling probability is calculated. A simplified mo...
What is the Schrödinger Equation? A basic introduction to Quantum Mechanics
Переглядів 1,6 млн2 роки тому
This video provides a basic introduction to the Schrödinger equation by exploring how it can be used to perform simple quantum mechanical calculations. After explaining the basic structure of the equation, the infinite square well potential is used as a case study. The separation of variables approach is used to solve the Schrödinger equation and Born's probabilistic interpretation of the wave-...
What is the Chandrasekhar limit for White Dwarf Stars?
Переглядів 227 тис.2 роки тому
This video provides a simplified step by step derivation of the Chandrasekhar limit for White Dwarf stars. After briefly discussing the history of white dwarf stars, an overview of electron degeneracy pressure is provided. Using a combination of quantum mechanics and Einstein's theory of special relativity, the Chandrasekhar mass is derived. The video ends with a discussion of the conflict betw...
Quantum Mechanics and the Principle of Least Time
Переглядів 164 тис.3 роки тому
In this short video I would like to tell you about the pioneering work of Pierre de Fermat, who discovered that light is the laziest object in the universe, always preferring to take the path that minimises the amount of time spent travelling between two points. But perhaps what is even more exciting is that Fermat’s principle lies at the heart of one of the most successful scientific theories ...
Deriving Hawking's most famous equation: What is the temperature of a black hole?
Переглядів 596 тис.3 роки тому
Black holes are perhaps the most enigmatic objects in the universe. Popularised in movies and science fiction, they evoke the magic and mystery of our universe and provide inspiration for those looking to make their mark in the world of academic physics. But what exactly is a black hole? And how can we study them? According to Einstein’ theory of general relativity, a black hole is a region of ...
Dark Energy and the Vacuum Catastrophe
Переглядів 420 тис.3 роки тому
In this video I would like to discuss one of the great unsolved problems in fundamental physics, the famous vacuum energy catastrophe (also known as the cosmological constant problem). What makes the problem so fascinating is that it weaves together two of the most successful theories of the 21st century, quantum field theory and general relativity, and demonstrates that something has gone cata...
What is the Cosmic Microwave Background Radiation? And what does it mean?
Переглядів 204 тис.3 роки тому
This video provides an overview of the accidental discovery and explanation of the cosmic microwave background radiation, the afterglow of the big bang, and follows the narrative of Steven Weinber'gs fantastic book: The First Three minutes. After reviewing the initial experimental work of Penzias and Wilson, a detailed account of the theoretical interpretation is presented, including a discussi...
Deriving Einstein's most famous equation: Why does energy = mass x speed of light squared?
Переглядів 1,5 млн3 роки тому
E=mc^2 is perhaps the most famous equation in all physics, but very few people actually know what the equation means, or where it comes from. In this video I would like to show one method for deriving this equation, as well as provide some insight into what the equation actually means. Along the way we will also touch upon some of the most fascinating features of Einstein’s theory of special re...
What is a rainbow?
Переглядів 67 тис.3 роки тому
This video explores the physics of rainbows by considering how light is refracted as it passes through water droplets. The formation of both primary and secondary rainbows (double rainbows) is explained, as well as the formation of the dark band known as 'Alexander's band'. In his poem of 1820 entitled Lamia, John Keats complained that cold science had destroyed the magic of nature, conquering ...
The Planck scale: Is there a fundamental limit to space and time?
Переглядів 844 тис.3 роки тому
This video explores the fundamental lower limits of space and time by considering what would happen if two electrons are squeezed closer and closer together. After discussing the ratio of electric and gravitational forces, Heisenberg's uncertainty principle is combined with Einstein's theory of special relativity to show that at very small distance scales the strength of gravity becomes compara...
What is the Ultraviolet Catastrophe?
Переглядів 2 млн3 роки тому
This video provides a detailed explanation of the ultraviolet catastrophe and Max Planck's solution to the problem following the presentation of Esiberg and Resnick in their textbook 'Quantum physics of atoms, molecules, solids, nuclei and particles'. The work of Rayleigh and Jeans is discussed in detail, as well as the quantum hypothesis proposed by Planck. References for this video: Quantum p...
What is Wave Particle Duality?
Переглядів 429 тис.3 роки тому
This video looks at the history of ideas behind the concept of wave particle duality, with a particular focus on the work of Louis de Broglie and the matter-wave hypothesis. After discussing the groundbreaking experimental work of Thomas Young and the concept of wave interference, a brief discussion is given to Einstein's explanation of the photoelectric effect. This provides a launch point for...
What is the Bohr model of the atom?
Переглядів 396 тис.4 роки тому
This video looks at the pioneering work of Niels Bohr who proposed a novel model of the atom in 1913 which would lay the foundations for a quantum mechanical treatment ten years later. After discussing the limitations of Thomson's Plum Pudding model and Rutherford's Nuclear model, Bohr's quantum model is discussed as a union between classical ideas of electrostatics and angular momentum quantis...
What is Compton Scattering?
Переглядів 239 тис.4 роки тому
This video provides a detailed overview of Compton Scattering and its role in the development of quantum physics. The photon model of light is used to explain the Compton shift in wavelength of scattered x-rays by electrons. The principles of energy and momentum conservation are used to calculate the size of the wavelength shift as a function of scattering angle. The video ends with a discussio...
The Principle of Least Action: Derivation of Newton's Second Law
Переглядів 114 тис.5 років тому
The Principle of Least Action: Derivation of Newton's Second Law
Estimating the number of atoms in the observable universe
Переглядів 68 тис.5 років тому
Estimating the number of atoms in the observable universe
Greek Physics: Calculating the distance to the Sun and Moon
Переглядів 217 тис.5 років тому
Greek Physics: Calculating the distance to the Sun and Moon

КОМЕНТАРІ

  • @DennisKorolevych
    @DennisKorolevych 22 години тому

    So im totally new to this and the only reason im diving into this, is because of the freak wave documentary. Now i had the absolutely freakish idea to simulate freak waves and for that I need to understand this schrödinger nonsense xD I much prefer the cat cause I like fat cats but hey, maybe I can get my mind around this

  • @rayhill7066
    @rayhill7066 День тому

    Thanks!

  • @rayhill7066
    @rayhill7066 День тому

    Sailing along quite nicely with this. One small niggle at about 6.59 the trig Acos part gets discarded without apparent reason, can’t find any obscure trig identity. Other texts I have searched have done similar. Other than that its a very well presented and comprehensive work that has filled in some of the many gaps in my knowledge.

  • @iceicejay9569
    @iceicejay9569 День тому

    His science proved the cat was a dog the whole time

  • @mikemoss6045
    @mikemoss6045 День тому

    E/m=c²

  • @JayaLakshmi-dm3ys
    @JayaLakshmi-dm3ys 2 дні тому

    Bro I have a doubt Doubt: according to the borh model of atom electrons at lowest energy level has greater velocity ,but according to the Einstein de brogli relation that is momentum is inversely proportion to the wavelength(p=h/lamda).Then how could electrons at higher velocity has wavelength .don't u think some think is wrong bro

  • @backstrapped
    @backstrapped 2 дні тому

    Planck is a top lad

  • @user-gj7vp6wk3e
    @user-gj7vp6wk3e 2 дні тому

    THAT'S AWESOME!❤

  • @bettyg7710
    @bettyg7710 2 дні тому

    If nothing travels faster than the speed of light how can c be squared. Would that not mean the speed of light times the speed of light or infinity. I will tell you why, because we do not know the speed light from the source to the observer. We only know the reflected speed. Einstein knew this and he postulated that the speed of light from the source to the observer could be instantaneous. That’s why this equation works.

    • @AMC2283
      @AMC2283 2 дні тому

      kinetic energy is reciprocal

    • @stewiesaidthat
      @stewiesaidthat День тому

      ​@AMC2283 it's E=mc. The conversion of Atomic energy to Radiant energy. C-squared is just the half-life process. Instead of waiting years or centuries for atomic energy to decay into radiation, it can be accelerated by an outside force. This is how atomic bombs work. The plutonium is accelerated to radiant energy within a few seconds of time rather than waiting for it to normally decay. E=mc/F=ma/p=mv. All the same physics. The mass undergoes acceleration creating a force/energy/thrust.

    • @bettyg7710
      @bettyg7710 День тому

      @@stewiesaidthat E = m c2. In the equation, E = m c2, E stands for energy, m stands for an object’s mass, and c2 represents the speed of light ( 186,000 miles per second ) multiplied by itself. Think of mass as simply the quantity of matter present. Energy is a tougher concept, but it is okay to think of it as a property of heat or light.

    • @stewiesaidthat
      @stewiesaidthat День тому

      @@bettyg7710 Sorry, kiddo. It's E=mc as it is also f=ma and p=mv. C is acceleration. It is also time. C is the speed of light. It's also radiant energy. E=mc. The conversion factor of atomic energy (acceleration factor < c) to radiant energy (acceleration factor = c) Since E=t. C-squared is the conversion of atomic energy to radiant energy with its half-life. E=mc. Energy equals Acceleration. C is just the absolute acceleration limit, which imposes a speed limit on how fast an object can travel in space and time as all matter gets converted to radiant energy at the speed of light. You don't say F=ma2 or p=mv2. So why do you treat energy differently? C^2 is the time factor of the energy conversion process. It isn't about squaring the speed of light but extracting the energy the mass contains within a shorter time frame.

    • @bettyg7710
      @bettyg7710 День тому

      @@stewiesaidthat no that’s what it is used for but c2 still equals the speed of light squared. Any way you slice it. I have you the definition right out of the encyclopedia. C squared represents the speed of light as we know it , time the speed of light. You can’t get away from what the math says. 186 mile per second time 186k miles per second now that not just the speed of light but it is the speed of light raise almost to infinity.

  • @perlman7376
    @perlman7376 3 дні тому

    As a former engineering student I must ask what are the units of measure?

  • @gege3149
    @gege3149 3 дні тому

    At 23:13 why exactly should that expression be the total energy?

  • @darotini
    @darotini 3 дні тому

    guys, Square root of E = mc. Do this work?

  • @oluwatobiadebayo4825
    @oluwatobiadebayo4825 3 дні тому

    Hey, the unit for the energy density equation at 38:01 is J/m^(4). I believe unit for energy density is J/m^(3). I'm I wrong?

  • @juliogarcia7670
    @juliogarcia7670 3 дні тому

    Fantastic! It is impossible to ague against logic. This is the philosophical part of physics.

  • @kaddleman4294
    @kaddleman4294 3 дні тому

    Thank you for your explanation but where's the box and the cat???

  • @mayaq8324
    @mayaq8324 4 дні тому

    It’s not einsteins formula, it’s Olinto De Pretto’s formula

    • @AMC2283
      @AMC2283 3 дні тому

      isn't that the physicist who's most famous for whining that Einsten stole it from him but never did jack about it?

    • @mayaq8324
      @mayaq8324 3 дні тому

      @@AMC2283 since De Pretto was the originator of the formula - which officially is the case - your silly protest has no value

    • @AMC2283
      @AMC2283 3 дні тому

      @@mayaq8324 a lot of physicists knew mass could become energy, and his formula calculated too much. Your prejudices don’t change that.

  • @robertengland8769
    @robertengland8769 4 дні тому

    Lots of nay sayers out there. Pure genius is unstoppable. People are jealous of geniuses. The very laws of physics are what I believe in.

  • @calvingrondahl1011
    @calvingrondahl1011 4 дні тому

    I respect mathematics but do use it. Like listening to music I cannot create myself I enjoy the experience of you doing it. I love the history of science that Carl Sagan introduced me to in Cosmos 1980.

  • @MLexploring
    @MLexploring 4 дні тому

    I made a 30 page notes watching this entire video to delve into the world of quantum mechanics! Believe me, my thinking frame has changed a lot in QM upon completion this video. Thank you for this knowledge!

    • @dice-uj2sr
      @dice-uj2sr 3 дні тому

      Were able to derive 2 integral 1/2cos(piex/a)-cos(3piex/a) from 2sin(piex/a)sin(2piex/a) I am stuck here 1:12:32

    • @MLexploring
      @MLexploring 3 дні тому

      I haven’t done this by my own. I just followed what he did. I also found a confusion in a previous integration in this video. But I skip as it is not my headech!

    • @dice-uj2sr
      @dice-uj2sr 3 дні тому

      @@MLexploring oh sadge 😔

  • @marcterencemckenna8930
    @marcterencemckenna8930 4 дні тому

    You lost me at furthermore..

  • @Wkidd97
    @Wkidd97 5 днів тому

    I have to say I have figured out how to see these particles with the human eye. You can do it! You keed sunlight and you relax and keep your eyes mostly shut but ever slightly open-it allows you to see like a microscope! I have always been able to see electrons and neutrons hitting each other and it’s volatile. I’m sure others have experienced it but didn’t realize what they’re seeing.

  • @premakau
    @premakau 5 днів тому

    If understanding Creation was easy with the use of Quantum theories , the Creator also will be in our reach ...All scientists have tried to unravel this secret of a Creator. Their only aim is to learn every trick that the Creator has up His sleeves.. Thankfully all signs that this earth is as old The Creator Itself is slowly uncovering... May be by the turn of this century the Hindu yuga or the Christian eon might come to an end because the volcano eruption in Icelands is not a phenomenon to ignore...

  • @JonnyTwinkleToes
    @JonnyTwinkleToes 5 днів тому

    We add consciousness to math everyday... we just do math on paper which is not the whole picture.

  • @JonnyTwinkleToes
    @JonnyTwinkleToes 5 днів тому

    Math is a roadway for our consciousness to make reality. Math is a doorway to reality but doesn't show it.. you need to add consciousness to math in order to have a complete reality complex mathematical system

  • @JonnyTwinkleToes
    @JonnyTwinkleToes 5 днів тому

    Math Insinuates that we live in a non consciousness simulation... I walk the same pace as my friend and we look at each other... simulation math says we are both at rest compared to one another. But math doesn't show how we still feel like we are walking/moving. Hence why math and consciousness has to work together to make reality not a simulation

  • @JonnyTwinkleToes
    @JonnyTwinkleToes 5 днів тому

    Fun fact : only a simulation can be at rest... the universe is never at rest....ever... but we can't wrap our heads around something so simple 😅

  • @JonnyTwinkleToes
    @JonnyTwinkleToes 5 днів тому

    Energy at rest = Mc2. Fun fact.. everything in the universe is never at rest.

    • @AMC2283
      @AMC2283 3 дні тому

      everything's at rest in it's own frame professor

  • @user-jq3qf1mn6h
    @user-jq3qf1mn6h 6 днів тому

    Can a maximum mass/energy be calculated for the Planck volume? Is that number meaningful? Infinities/divisions by zero abound? I contemplated over the weekend...

  • @titaniumsandwedge
    @titaniumsandwedge 6 днів тому

    I took Quantum Mechanics many years ago. I learned more from this video than I did back in college. But my experience in life tells me that reality trumps math. The imaginary number i only exists because it is useful in solving real world problems. Math is a set of tools and i is just one of them. But in all cases, the solution in i is rendered to reality. It seems with the SWE, it could not shake off i so it patched it up with probability. This is nothing more than a patch on a patch. All to show that particles have wave properties. Too much of a reach.

  • @fjg9657
    @fjg9657 7 днів тому

    Fabulous explanation throughout and inspiring final quote.

  • @josefnavratil646
    @josefnavratil646 7 днів тому

    Movement. Who is moving? and how does movement arise?. I will give a little reflection on the question of movement: What is movement? How is movement created??? Who - what is moving? Cosmology says that space-time has been expanding since the Big Bang..., and that means "what"?: "stretching" dimensions?? (i.e. are there more points in the selected interval-unit?). I would improve it to the statement that space-time dimensions expand, not that they stretch, not expand. Unpacking curvature of dimensions at a) global level = large-scale level of the entire universe. (At this level, the curvature of the gravitational interaction prevails, it is a parabola). And then b) at the micro level (on Planck scales) the curvatures of the dimensions collapse into packages, balls and further into massive conglomerates such as molecules. That's my new hypothesis. These packed-wrapped formations are directly entities = elementary particles of matter. There are 25 kinds www.hypothesis-of-universe.com/index.php?nav=ea , the most important are quarks, leptons and bosons. www.hypothesis-of-universe.com/docs/ea/ea_002.pdf ; www.hypothesis-of-universe.com/docs/ea/ea_004.pdf . These are elementary particles of matter for interactions. (chemistry, biology, to DNA). And also, necessarily, there is between a) and b) behind c) also a mixing of curvature changes during the aging of the universe (in localities, once more once less www.hypothesis-of-universe.com/docs/c/c_362.jpg ... , and the world of microscale (QM) interactions. Now into this state of the universe, the system, into dynamic space-time, pour objects. When you sprinkle = sprinkle "objects" (they can be stars or planets, or even just "intangible cursors"), then the question will be : Who is moving? A) point-matter, or B) space-time by warping its dimensions?? (Which came first: the egg or the chicken?). I think that the Universe first (!) started the warping of dimensions (after the big-bang)  and even the unpacking and collapsing of dimensions of space-time simultaneously and thus produced matter on the Planck scale, in the microworld and also galaxies and large material objects = stars and planetary systems, black holes on the global-scale. Then, of course, the movement of material objects is not a "primordial act" ; movement (point-cursors, stars and galaxies + planets) is a result dimensional curvature changes. www.hypothesis-of-universe.com/docs/c/c_433.jpg (!) Physicists once said that the points (galaxies) on the envelope of the cosmic sphere do not move, see the entire lecture by Vavryčuk ua-cam.com/video/wyvGaFeAudw/v-deo.html , that (mutual) movement is performed by the expanding space-time and...and other times they say that space-time is a net-yarn, i.e. the stationary environment in which = on which the points move and it by uniform motion m . v , (in places where there are no force fields) or by accelerated movement m . a . Is it really like that? Do you really not have the will or courage to doubt? that it is different (?), that space-time, not matter, determines and causes movement.(!!) Physicists have a school lesson here: Space-time tells matter, how it should move and matter tells spacetime how it should curve. [39]  cs.wikipedia.org/wiki/Obecn%C3%A1_teorie_relativity . But that's not good, think about it. Matter cannot tell space-time how it should curve = until, until, until it is not itself moved by an external contribution=, i.e. by changes in the curvature of space-time. Those changes are commanded by curvature, they are primordial. Hundreds of billions of points-cursors + material spheres in the universe (at first) stand passively (!) and the rodeo of movement-movements by those objects = them is performed by space-time itself, as He changes the curvatures of "his dimensions".

  • @BabaBabelOm
    @BabaBabelOm 7 днів тому

    Given the star is made of hydrogen the assumption of electrons being half the number of nucleons isn’t reasonable to me. For Helium up, ya. Also, a star being electrically neutral seems suspect based on the above and in general. Love all your videos! Where did you go!

  • @dogol284
    @dogol284 9 днів тому

    suspiciously close to the Feynman Lectures chapter on SR... surely just a coincidence 😉

  • @Spikedog777
    @Spikedog777 9 днів тому

    WHAT

  • @ivo_pawlowski
    @ivo_pawlowski 9 днів тому

    if I need even more basic explanation is there any point in applying for physics studies?

    • @narfwhals7843
      @narfwhals7843 8 днів тому

      Of course. Physics classes should either come with math classes, give you a list of prerequisits, or go over the math themselves. Depending on where you start, this will all be covered. Newton _invented_ calculus to formalize classical mechanics. However, modern physics relies heavily on calculus and linear algebra. If you are unfamiliar with those, that is something you'll pretty much have to learn first, at least in basic form.

  • @sophiacalon3463
    @sophiacalon3463 10 днів тому

    I love physics but where I’m from we learn physics with calculus so derivatives and integrals. I’m a matrice mind, it just makes so much sense to me. I wish here physics could be taught in algebra and matrices ways😭

  • @johncampbell9216
    @johncampbell9216 11 днів тому

    Except, it ISN'T background radiation, it's foreground radiation! If it were background, then every galaxy, including our milky way, would be represented upon it.

  • @Kathedore
    @Kathedore 11 днів тому

    YOU ARE AMAZING!!! this is much better intro than any of the physics textbooks could offer me...

  • @pomme4682
    @pomme4682 12 днів тому

    It's been fascinating to watch the mathematical derivations of some formulas which we now just accept. One small point at 34.01 we have when m =0 and taking only the positive square root E=pc would there be any significance in E = -pc? Excellent tutorial!

  • @Burningquest
    @Burningquest 12 днів тому

    i was thinking often about this topic. When i had to explain people how insulation works, this thoughts came to my mind. Even without all this difficult equations i new instinctivily how it works, But now i am ensured. Crazy Video melted almost my brain.

  • @OisinDoyle
    @OisinDoyle 13 днів тому

    Am I crazy or is there a minus error at 20:49, regardless its a great video thanks

    • @ashlyn5637
      @ashlyn5637 12 днів тому

      i thought the same as well but its correct, the minus sign comes from when you simplify the first expression (gamma) to share the denominator of the second expression (gamma cubed), if you try the math yourself it works out.

  • @m24213
    @m24213 14 днів тому

    You know you are watching too many physics explained videos when you can slightly predict how he is going to calculate the radiation pressure.

  • @susettemclachlan8765
    @susettemclachlan8765 15 днів тому

    The rainbow is proof of the dome shaped Firmament that as the Bible describes encloses the flat earth . The arc of the Rainbow is simply the réfection of sunlight off the glass like dome shaped Firmament

  • @ExpansionPak64
    @ExpansionPak64 16 днів тому

    The genius of Einstein was his patience for his math friends. He's was building a house and they keep bringing sticks (math) as tools (formulas). Then he explained why each stick is best for each task/step and how to use it! I don't think AGI will have the same patience. I know I don't.

  • @satyamkumarmall8600
    @satyamkumarmall8600 17 днів тому

    Thanks for the quick explanation , I was watching Oppenheimer and the point came up of a dying star which lead me to this . It was very tragic that Chandrashekhar had to go through this .

  • @toms-cubes-and-games
    @toms-cubes-and-games 17 днів тому

    Brilliant

  • @philoso377
    @philoso377 17 днів тому

    Nice video and presentation. Ty and Jean gave us a curve fitting solution is mathematics but science. On the other hand Planck offer a final curve fitting solution is also mathematics but science. The catastrophe came out of our ignorance, selective learning and inability of connecting dots so to speak. Essentially, at the time the instrument’s sensor was sealed inside a glass container and we all know that glass attenuates infrared and ultraviolet that masked off real response, in the end we saw a distorted view on page 38:46. That means we still don’t know the real characteristics is until we have found a new material but glass to preserve the real information in the signal, light. We have PhD everywhere today but they offer us D and not Ph. Without philosophy science is soulless.

  • @m24213
    @m24213 18 днів тому

    Excellent explanation on the quantum tunneling. Just one question, the quantum tunneling probablity was estimated with the assumption that Gap ''a'' is a very wide gap, I understand the assumption as it allows for easy calculation. But when we divided the gap into infinitesimally small gaps, would the assumption of wide gap not break down? But even then the alpha decay seems to correspond incredibly well with the experimentally determined values. Why ? Can you also explain, how this quantum tunneling was used to create a microscope that can give you atomic scale visualizations?

  • @WangRukaLinda
    @WangRukaLinda 18 днів тому

    Very interesting content! Continue in the same spirit!

  • @anishsharma6702
    @anishsharma6702 19 днів тому

    This vid is criminally underrated.