Nick Heumann University
Nick Heumann University
  • Видео 212
  • Просмотров 853 103
Deriving the Hamiltonian for the Dirac Field
In this video I will show you how to go from the dirac lagrangian to the hamiltonian!
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If you enjoy my content, please consider checking out my Patreon!
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twitter: nickheumann
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Join the NHU community on discord!
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▬ Contents of this video ▬▬▬▬▬▬▬▬▬▬
00:00 Introduction
00:58 Finding the canonical momenta
03:46 Finding the Hamiltonian
07:21 Consider supporting me on patreon!
Просмотров: 1 121

Видео

Quantum Mechanics Exam #1 (HARD) (Schrodinger Equation, delta potential, Infinite Square Well)
Просмотров 2,1 тыс.4 месяца назад
This is the first exam in my course! You have 2 hours to solve all three problems! Ensure to pause the video before seeing the solutions! The exam covers the Schrödinger Equation, the Delta potential, and the infinite square well. I consider this to be a HARD exam, but I trust the course has prepared you for it! Did you enjoy this kind of content? Let me know in the comments! Is there any speci...
Proving a Useful Spin Sum Identity for the Dirac Field
Просмотров 5694 месяца назад
In this video I will derive a useful identity for the spin sum of the dirac solutions, which are equations 3.66 and 3.67 from Peskin and Schroeder's boon of Quantum Field Theory Is there any specific topic you would like me to cover? Start or support a petition on www.ablebees.com/team/nickheu... ! If you enjoy my content, please consider checking out my Patreon! www.patreon.com/nickheumann Als...
Free-Particle Solutions of the Dirac Equation (ALL STEPS EXPLAINED)
Просмотров 1,3 тыс.4 месяца назад
In this video I will find the solutions of the dirac equations, following Peskin and Schroeder's book. I will explain EVERY SINGLE STEP, and I will derive equations 3.49, 3.50, 3.59, 3.62, among others! If you enjoy my content, please consider checking out my Patreon! www.patreon.com/nickheumann Also, consider subscribing and following me on my socials! twitter: nickheumann Instagra...
Introducing Weyl Spinors and the Weyl Equations in QFT
Просмотров 8795 месяцев назад
In this video I will introduce the weyl spinors and derive the Weyl equations in the chiral representation Is there any specific topic you would like me to cover? Start or support a petition on www.ablebees.com/team/nickheu... ! If you enjoy my content, please consider checking out my Patreon! www.patreon.com/nickheumann Also, consider subscribing and following me on my socials! twitter: twitte...
Proving that the Dirac Equation implies the Klein-Gordon Equation
Просмотров 7445 месяцев назад
In this video I will prove that the Dirac equation implies the Klein-Gordon Equation! Is there any specific topic you would like me to cover? Start or support a petition on www.ablebees.com/team/nickheu... ! If you enjoy my content, please consider checking out my Patreon! www.patreon.com/nickheumann Also, consider subscribing and following me on my socials! twitter: nickheumann Ins...
The Dirac Equation in QFT
Просмотров 1,7 тыс.5 месяцев назад
In this video I will introduce the Dirac Equation in Quantum field theory. We will briefly discuss some of its properties Is there any specific topic you would like me to cover? Start or support a petition on www.ablebees.com/team/nickheumannuniversity ! If you enjoy my content, please consider checking out my Patreon! www.patreon.com/nickheumann Also, consider subscribing and following me on m...
Peskin & Schroeder's 2.2c) Solution: Charge of the Complex Scalar (Klein-Gordon) Field
Просмотров 1,5 тыс.8 месяцев назад
In this video I will solve Peskin & Schroeder's 2.2 c) solution: Rewrite the conserved charge in terms of creation and annihilation operators, and evaluate the charge of the particles of each type. If you enjoy my content, please consider checking out my Patreon! www.patreon.com/nickheumann Also, consider subscribing and following me on my socials! twitter: nickheumanns Instagram: i...
Peskin & Schroeder's 2.2 b) solution: Diagonalizing the Complex Klein-Gordon Hamiltonian
Просмотров 8238 месяцев назад
In this video I will solve Peskin & Schroeder's 2.2 b) solution: Diagonalizing the Complex Klein-Gordon Hamiltonian If you enjoy my content, please consider checking out my Patreon! www.patreon.com/nickheumann Also, consider subscribing and following me on my socials! twitter: nickheumanns Instagram: nicolasheumann twitch: www.twitch.tv/TICANick My name is Nick Heumann...
The EASIEST Explanation of the Gram-Schmidt Procedure (Griffiths QM 3rd ed. Problem 3.4)
Просмотров 74211 месяцев назад
In this video I will solve problem 3.4 as it appears in the third edition of griffiths introdution to quantum mechanics. The probem asks us to use the Gram Schmidt procedure to orthonormalize a basis. If you enjoy my content, please consider checking out my Patreon! www.patreon.com/nickheumann Also, consider subscribing and following me on my socials! twitter: nickheumann Instagram:...
Explaining the Inner Product in Quantum Mechanics (Using Bras and Kets)
Просмотров 1,3 тыс.11 месяцев назад
In this video I will explain the inner product in quantum mechanics using braket notation. Link to my braket video (Dirac Notation): ruclips.net/video/4XZBwVE8PuA/видео.html&ab_channel=NickHeumann If you enjoy my content, please consider checking out my Patreon! www.patreon.com/nickheumann Also, consider subscribing and following me on my socials! twitter: nickheumann Instagram: ins...
Hamiltonian for the Complex Scalar Field (Peskin & Schroeder QFT 2.2a)
Просмотров 2,8 тыс.11 месяцев назад
In this video I will find the Hamiltonian for the complex scalar field in quantum field theory. We will then show that it is indeed valid for the Klein-Gordon equation by finding its equations of motion. This is also Peskin & Schroeder's Problem 2.2a If you enjoy my content, please consider checking out my Patreon! www.patreon.com/nickheumann Also, consider subscribing and following me on my so...
Klein-Gordon and Feynman Propagators,Time Ordering (Peskin & Schroeders Eq. 2.54 and 2.56 EXPLAINED)
Просмотров 5 тыс.Год назад
In this video I will derive the Klein-Gordon and Feynman Propagators and along the way go in FULL DETAIL explaining the results from P&S for equation 2.54 and 2.56. I will perform the contour integration, explain each case for the time components of x and y, and prove that the K-G propagator is a green function of the K-G operator. If you enjoy my content, please consider checking out my Patreo...
Griffiths QM Problem 4.20: Proving Commutators of Angular Momentum
Просмотров 2,7 тыс.Год назад
In this video I will solve problem 4.20 as it appears in the third edition of griffiths introduction to quantum mechanics. This problem states: (a) Starting with the canonical commutation relations for position and momentum (Equation 4.10), work out the following commutators: [Lz, x] = iℏy, [Lz, px] = iℏpy, [Lz, y] = −iℏx, [Lz, py] = −iℏpx, [Lz, z] = 0 [Lz, pz] = 0 (b) Use these results to obta...
Causality and Propagators in Free Klein-Gordon QFT
Просмотров 4,5 тыс.Год назад
Causality and Propagators in Free Klein-Gordon QFT
Griffiths QM 4.15 Solution: Proving Radial Wavefunction and finding expectation values for l=n-1
Просмотров 2,5 тыс.Год назад
Griffiths QM 4.15 Solution: Proving Radial Wavefunction and finding expectation values for l=n-1
The Integral You HAVE TO KNOW to MASTER Quantum Mechanics!
Просмотров 1,9 тыс.Год назад
The Integral You HAVE TO KNOW to MASTER Quantum Mechanics!
Can an Electron Be INSIDE The Nucleus? Griffith's Intro to QM Problem 4.14 FULL SOLUTION
Просмотров 1,9 тыс.Год назад
Can an Electron Be INSIDE The Nucleus? Griffith's Intro to QM Problem 4.14 FULL SOLUTION
Interpretation of the Klein-Gordon Field and Bose-Einstein Statistics
Просмотров 2,9 тыс.Год назад
Interpretation of the Klein-Gordon Field and Bose-Einstein Statistics
Noether's Theorem and the Momentum of the Klein-Gordon Field
Просмотров 9 тыс.Год назад
Noether's Theorem and the Momentum of the Klein-Gordon Field
The Vaccum Energy & The Ultraviolet Divergence: Why Quantum Field Theory Fails!
Просмотров 3,8 тыс.Год назад
The Vaccum Energy & The Ultraviolet Divergence: Why Quantum Field Theory Fails!
Quantizing the Klein-Gordon Field as Harmonic Oscillators - FULLY EXPLAINED!
Просмотров 13 тыс.Год назад
Quantizing the Klein-Gordon Field as Harmonic Oscillators - FULLY EXPLAINED!
Why we need QFT & Derivation of Klein-Gordon Langriangian Density
Просмотров 16 тыс.Год назад
Why we need QFT & Derivation of Klein-Gordon Langriangian Density
Quantum Field Theory Lecture 9 | Covariance of the Dirac Equation (Lorentz Invariance)
Просмотров 7 тыс.Год назад
Quantum Field Theory Lecture 9 | Covariance of the Dirac Equation (Lorentz Invariance)
Griffiths QM Problem 4.13 (3rd ed.) Finding Expectation Values for Hydrogen Atom
Просмотров 10 тыс.Год назад
Griffiths QM Problem 4.13 (3rd ed.) Finding Expectation Values for Hydrogen Atom
Griffiths QM Problem 4.12 (3rd ed.) Radial Equation using Laguerre Polynomials and recursion
Просмотров 2,3 тыс.Год назад
Griffiths QM Problem 4.12 (3rd ed.) Radial Equation using Laguerre Polynomials and recursion
Griffiths QM Problem 4.11 (3rd ed.) Normalizing R20 and R21 | Hydrogen Atom
Просмотров 4,4 тыс.Год назад
Griffiths QM Problem 4.11 (3rd ed.) Normalizing R20 and R21 | Hydrogen Atom
Griffiths QM Problem 4.10 (3rd ed.) Finding Radial Wave Functions Using Recursion Formula | H atom
Просмотров 3,8 тыс.Год назад
Griffiths QM Problem 4.10 (3rd ed.) Finding Radial Wave Functions Using Recursion Formula | H atom
Griffiths QM Problem 4.9 (3rd ed.) Solving the FINITE Spherical Well for l=0
Просмотров 5 тыс.Год назад
Griffiths QM Problem 4.9 (3rd ed.) Solving the FINITE Spherical Well for l=0
Griffiths QM Problem 4.8: Infinite Spherical Well for l=1
Просмотров 2,1 тыс.Год назад
Griffiths QM Problem 4.8: Infinite Spherical Well for l=1

Комментарии

  • @f_add_mebowshot5677
    @f_add_mebowshot5677 3 дня назад

    Macher

  • @sachankhushi
    @sachankhushi 3 дня назад

    Please make a vediio on problem 9.7

  • @vinciousmacabre8193
    @vinciousmacabre8193 5 дней назад

    it's such a weird thing for an 'educator' to start with 'THIS IS SO HARD YOU GUYS'.

  • @ArdaBatinTank
    @ArdaBatinTank 8 дней назад

    in the case 2, if we put the barrier at x=0 to x=L, the answer changes for L, right? We put the 2 to denominator for the second term in that case. But why? Can anyone explain this situation? GPT says that's because you take L=2a but i am really confused right now.

  • @roaaabazeed497
    @roaaabazeed497 12 дней назад

    Thanks 🌸

  • @izzuaudrey4093
    @izzuaudrey4093 12 дней назад

    Will this Hamiltonian affect the shape of the wave function and the electron distribution in the hydrogen atom?

  • @sneharathore7747
    @sneharathore7747 15 дней назад

    Nice explanation

  • @cademosley4886
    @cademosley4886 16 дней назад

    A quick correction. At 8:17, you mean sin^2(α) = (1-cos2(α))/2 (one minus cosine two alpha all divided by 2). It's not (1-cos^2(α))/2 (one minus cosine squared alpha all divided by 2) like you said. That's an easy thing to get mixed up since sin^2(α) also = 1-cos^2(α), and you correctly put the cos2(α) into the equation later anyway, so the final answer still ends up being right.

  • @natecoad2258
    @natecoad2258 17 дней назад

    but why is the probability function psi squared? I understand now that probabilities are real so the wavefunction times its conjugate makes sense but is there any intuitive reason why? or even why the integral over a region would fetch a number between 0 and 1 and never over 1? I was going through the griffith intro to qm book when I found your page and I am ever so grateful. Keep it up!

  • @ezu8501
    @ezu8501 18 дней назад

    you're great, man. i hope you're doing great (you haven't posted in a bit)! your lectures/tutorials have been a lot of help.

  • @Alexcavaliereview
    @Alexcavaliereview 20 дней назад

    I’m from Mexico and currently doing a master’s degree in physical sciences. I wanted to thank you for the detailed solution you shared. It’s incredibly clear and will be a huge help for a presentation I have tomorrow. Your content makes a real difference thank you for sharing your knowledge

  • @RishabhKhatri-rt9pf
    @RishabhKhatri-rt9pf 22 дня назад

    Wouldn't the same thing happen if E is greater than Vmax?

  • @beefybass12
    @beefybass12 22 дня назад

    Do you have any videos showing that the energy momentum tensor is conserved? I am having trouble proving this. Always end up with two terms that almost cancel but not quite...

  • @Apubams
    @Apubams 24 дня назад

    This exercise is similar to 6.36 of the second edition. My question is, why the element matrix of this problem isn't the same as in 6.36 but without the rows and columns that include the state 100? Thank you!

  • @jonatanpaschoal7362
    @jonatanpaschoal7362 24 дня назад

    ok 07122024

  • @Peter_1986
    @Peter_1986 26 дней назад

    The Schrödinger equation freaked me out the first time I saw it - I guess partly because of the imaginary number, and the weird Ψ notation - but it became surprisingly fun to work with when I actually started seeing some of these applications.

  • @isabellapetch5107
    @isabellapetch5107 26 дней назад

    how did you calculate the velocities for C and A

  • @lovelylife883
    @lovelylife883 28 дней назад

    You literally saved my life

  • @faisayousufzai9057
    @faisayousufzai9057 28 дней назад

    You made a wrong solution brother If 2 times of im part is real then why 1 time of im is not real?

  • @radyarguigue2294
    @radyarguigue2294 29 дней назад

    Thank you so much for the effort and can't wait for the string theory videos

  • @tayyabahaider3872
    @tayyabahaider3872 Месяц назад

    Thank you. It was amazing

  • @ApexDGop01
    @ApexDGop01 Месяц назад

    PDF PLS?

  • @akgunbaran
    @akgunbaran Месяц назад

    Taşşaklarını yerim. Büyük adamsın.

  • @ahmadmalik7068
    @ahmadmalik7068 Месяц назад

    Thankyou for this lecture

  • @hidden_anonymous
    @hidden_anonymous Месяц назад

    This lecture is so thorough mathematically and conceptually. Beautifully done!

  • @BMen-u8g
    @BMen-u8g Месяц назад

    very nice video

  • @pipersolanas3322
    @pipersolanas3322 Месяц назад

    you're awesome tysm

  • @divyasahu1909
    @divyasahu1909 Месяц назад

    Nice 👍 explain Sir , I have wait next physics explanation class

  • @ziqianyu8720
    @ziqianyu8720 Месяц назад

    God Dame! This is so helpful

  • @soccergalsara
    @soccergalsara Месяц назад

    the delta phi wasn't really explained when using the derive instead

  • @afnanadnan2055
    @afnanadnan2055 Месяц назад

    Thaks :)

  • @afnanadnan2055
    @afnanadnan2055 Месяц назад

    Thank you :)

  • @Pxlii8
    @Pxlii8 Месяц назад

    Thank you Bro, U R a Legend 🤍

  • @SagnikSaha-cj6nl
    @SagnikSaha-cj6nl Месяц назад

    Thank you very helpful

  • @aeroflow3680
    @aeroflow3680 Месяц назад

    why there is no 2.7 bro

  • @rajmishra340
    @rajmishra340 Месяц назад

    You make my life easy man thnx ❤️

  • @juniorcyans2988
    @juniorcyans2988 Месяц назад

    Thank you so much!!!

  • @juniorcyans2988
    @juniorcyans2988 Месяц назад

    Your channel save me this semester!

  • @sushanmodak
    @sushanmodak Месяц назад

    Wonderful. Do you have your notes in pdf form that you can make accessible?

  • @hidden_anonymous
    @hidden_anonymous Месяц назад

    very well done!

  • @vwasemba4485
    @vwasemba4485 Месяц назад

    in 5:45 how do we know its a scalar function also at 8:03 what happened to the dx?

  • @delgnegative
    @delgnegative Месяц назад

    Thanks a lot man❤. You're a great teacher. Saved me literally

  • @hidden_anonymous
    @hidden_anonymous Месяц назад

    I don't know how you come up with n = j_max+l+1. I think n = j_max+l-1/2 seems to make more sense. This is still a great lecture. Thank you.

  • @hidden_anonymous
    @hidden_anonymous Месяц назад

    Great video. Thank you!

  • @gilleslalancette7933
    @gilleslalancette7933 Месяц назад

    bravo and thanks.

  • @nadarfa9413
    @nadarfa9413 Месяц назад

    Should I follow along with Peskin & schroeder?

  • @sachankhushi
    @sachankhushi Месяц назад

    It is very helpful ❤

  • @jesuschristtherussianspyxx6242
    @jesuschristtherussianspyxx6242 Месяц назад

    This is also Problem 7.12 in the third edition for those who are looking.

  • @jesuschristtherussianspyxx6242
    @jesuschristtherussianspyxx6242 Месяц назад

    This is a great explanation but the video is mistitled. The Problem 7.1 in the third edition actually deals with Perturbation theory. Chapter 7 is perturbation only. Brilliant lecture though, as always.

  • @AdamFrotra
    @AdamFrotra Месяц назад

    Your professional instructions helped me a lot on my QM assignment! Thank you!