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Human Physicist
Приєднався 17 вер 2024
This channel is dedicated to teaching physics and math by solving challenging, classic problems - as well as some problems with specific (numerical) applications. The solutions presented are meant to focus on techniques that solve the general and, (by extension) specific cases in the field. Most problems will be solved in the general case for physics. Some videos are broken up into parts to help better digest the content.
A real human solves the problems presented on this channel.
A real human voices each video on this channel.
A real human conducts the live sessions on this channel.
A real human responds to, and creates the comments on this channel.
Comments are encouraged, as well as questions! If these videos help you, please consider liking the video and subscribing so you can get alerted when I upload more content.
If you have any questions, or if you would like to see a particular problem addressed, please email me at humanphysicsreal@gmail.com.
A real human solves the problems presented on this channel.
A real human voices each video on this channel.
A real human conducts the live sessions on this channel.
A real human responds to, and creates the comments on this channel.
Comments are encouraged, as well as questions! If these videos help you, please consider liking the video and subscribing so you can get alerted when I upload more content.
If you have any questions, or if you would like to see a particular problem addressed, please email me at humanphysicsreal@gmail.com.
3D Quantum #Lecture 2: Orbital Angular Momentum Primer Definition, Commutation, etc
This #lecture is a primer for understanding the basics of angular momentum, the commutation relations and some other important information that will help to develop the eigenvalue of the momentum (squared) operator operating on the angular wavefunction. This is one step closer to *why* we are using a form of l(l+1) for the eigenvalues.
#3d #quantum #angular #momentum #angularmomentum #wavefunction #eigenstates #eigenvectors #eigenvalues #operator #commutator #commutation #commute
#3d #quantum #angular #momentum #angularmomentum #wavefunction #eigenstates #eigenvectors #eigenvalues #operator #commutator #commutation #commute
Переглядів: 18
Відео
3D Quantum #Lecture 1: Solving the Schrodinger Equation for the Eigenfunctions (PART 1)
Переглядів 1027 годин тому
This #lecture is the *beginning* of deriving the eigenfunctions (wavefunctions) for the Schrodinger Equation in 3-D. We manipulate the PDE and get to the point of separating angular parts from radial parts. This will set up the foundation for the rest of the lectures, eventually concluding with determining the spherical harmonics, and the radial equation. #eigenstate #eigenfunction #TISE #Schro...
3D Quantum #Lecture 0: Concept Implications of Commutators, Canonical Coordinates, and Eigenstates
Переглядів 467 годин тому
This #lecture is the first lecture in the series. We briefly discuss the concepts that will be needed to found the work to determine how to analyze 3D phenomena in quantum mechanics. We discuss the importance of commutation, revisit Ehrenfest's Theorem and discuss what precision means in terms of eigenstates of the system. #eigenstate #eigenfunction #commutator #3d #quantum #commutator #commuta...
E&M: Electric Field Inside Outside a Long Solenoid with Angular Current
Переглядів 517 годин тому
This problem discusses how to determine the electric field inside and outside of a solenoid carrying an angular directed current. We determine the magnetic field in the QUASI-STATIC APPROXIMATION first, then we use Faraday's Law and magnetic flux to develop a relation for the electric field. #quasistatic #approximation #electric #electricfield #magneticflux #faraday #faradayslaw #induction #ele...
E&M: Current and Change in Charge Through Resistor Looped Around Solenoid
Переглядів 449 годин тому
In this video, we discuss how to determine the current through a wire with resistance looped around a solenoid with n turn - if the current in the solenoid is increasing at a constant rate. We also discuss the change in charge through the resistor when the current is held constant, and the solenoid is removed and reinserted in the opposite way. #solenoid #current #EMF #E&M #electrodynamics #tur...
CALC 1: Derivative of arcsec(x) - Implicit Differentiation
Переглядів 449 годин тому
In this video, we discuss how to determine the derivative of the inverse secant function using implicit differentiation, and Pythagorean relations. #calculus #calculus1 #implicitdifferentiation #differentiation #inversetrigonometricfunction #inverse #trig #implicit #arcsec #pythagorean #pythagoreantheorem
CALC 1: Derivative of arccos(x) by Implicit Differentiation
Переглядів 6112 годин тому
In this video, we discuss how to determine the derivative of the inverse cosine function using implicit differentiation, and Pythagorean relations. #calculus #calculus1 #implicitdifferentiation #differentiation #inversetrigonometricfunction #inverse #trig #implicit #arccos #pythagorean #pythagoreantheorem
CALC 1: Derivative of arcsinx (Implicit Differentiation)
Переглядів 4312 годин тому
In this video, we discuss how to determine the derivative of the inverse sine function using implicit differentiation, and Pythagorean relations. #calculus #calculus1 #implicitdifferentiation #differentiation #inversetrigonometricfunction #inverse #trig #implicit #arcsin #pythagorean #pythagoreantheorem
E&M #Lecture: Magnetic Flux, Electromotive Force EMF, Lenz's Law and Faraday's Law of Induction
Переглядів 5912 годин тому
This #lecture is more of a problem solving video that fully details how to use the principles of electrodynamics - such as electromotive force, induction and magnetic flux. This video has a square loop suspended a distance s above a LONG current-carrying wire. We determine the magnetic flux through the loop at s, and we determine the EMF induced under specific conditions. This video uses vector...
Formalism #Lecture 9: Practice Problem on Coherence, Unitary Operators and Uncertainty Part 2
Переглядів 5816 годин тому
This is the last #lecture in the #formalism series. This video is a continuation of the problem from Lecture 8 - inspired by/taken from a problem 3.35 in the book "Introduction to Quantum Mechanics" By David Griffiths, 2nd Edition. #griffiths #quantum #coherence #decoherence #density #matrix #coefficient #states #normalize #normalization #normalisation #uncertainty #Heisenberg
Formalism #Lecture 8: Coherence, Density Elements and Practice Problem Part 1
Переглядів 3419 годин тому
This #Lecture is Part 1 of the two part finale for the #formalism lecture series. We talk about coherence and decoherence (conceptually), and we discuss a final practice problem bringing the topics together. The problem is inspired by/taken from a problem 3.35 in the book "Introduction to Quantum Mechanics" By David Griffiths, 2nd Edition. #griffiths #quantum #coherence #decoherence #density #m...
Formalism #Lecture 7: PRACTICE - Spectral Decomposition, Probability, Expectation Value of Operator
Переглядів 4021 годину тому
This #lecture is a practice problem demonstrating how to determine the spectral decomposition, eigenvalues and eigenfunctions, probability in a state and expectation value of an operator. #operators #probability #expectation #value #eigenvalue #eigenfunction #spectral #decomposition #quantum #formalism
Formalism #Lecture 6: Completeness - Spectral Decomposition, Orthogonality and Fourier's Trick
Переглядів 72День тому
This #lecture discusses concepts of completeness in terms of a state vector for quantum mechanics. We also discuss operators, and how to exploit spectral decomposition to represent them. This is a shorter lecture that will lead into other concepts. #complete #completeset #fourierseries #fourier #trick #orthogonal #spectral #decomposition
Formalism #Lecture 5: Hilbert Spaces Linearity, Superposition, Valid Quantum States and Dual Space
Переглядів 118День тому
This #lecture discusses Hilbert Space, linearity, superposition - and how it all relates to what is called a Valid Quantum State. We also discuss how complex conjugates are a sort of dual space representation - with the conjugation representing the mirror image mapping of all the elements. #quantum #complex #conjugate #linear #linearity #superposition #Hilbert #Space #dual
Formalism #Lecture 4: PRACTICE (Outer Product, Density Matrix, Eigenvalues Eigenvectors)
Переглядів 49День тому
Formalism #Lecture 4: PRACTICE (Outer Product, Density Matrix, Eigenvalues Eigenvectors)
Formalism #Lecture 3: OUTER Product and Intro to the PROJECTION Operator
Переглядів 76День тому
Formalism #Lecture 3: OUTER Product and Intro to the PROJECTION Operator
Formalism #Lecture 2: Intro to BRA KET Notation and Inner Product
Переглядів 104День тому
Formalism #Lecture 2: Intro to BRA KET Notation and Inner Product
Formalism #Lecture 1: Review of Vector Spaces, Inner Product and Dirac Notation Briefly
Переглядів 21014 днів тому
Formalism #Lecture 1: Review of Vector Spaces, Inner Product and Dirac Notation Briefly
#Lecture: Moment of Inertia of FRUSTUM (Calculus)
Переглядів 5414 днів тому
#Lecture: Moment of Inertia of FRUSTUM (Calculus)
Supplement #Lecture: Cross Product (General) 3D; 3x3 Determinants (General); Cofactor Expansion
Переглядів 2914 днів тому
Supplement #Lecture: Cross Product (General) 3D; 3x3 Determinants (General); Cofactor Expansion
#Lecture: Introduction to Vectors Vector Product, Determinant, Unit Normal Vectors
Переглядів 5314 днів тому
#Lecture: Introduction to Vectors Vector Product, Determinant, Unit Normal Vectors
#Lecture: Introduction to Vectors (Dot Scalar Product, and Work)
Переглядів 3314 днів тому
#Lecture: Introduction to Vectors (Dot Scalar Product, and Work)
#Lecture: Introduction to Vectors (Algebra, Geometry and Definition)
Переглядів 3314 днів тому
#Lecture: Introduction to Vectors (Algebra, Geometry and Definition)
CALC 3: Moment of Inertia of a Solid Sphere Derivation
Переглядів 7914 днів тому
CALC 3: Moment of Inertia of a Solid Sphere Derivation
CALC 3: Moment of Inertia of Cylindrical Disk Derivation
Переглядів 3314 днів тому
CALC 3: Moment of Inertia of Cylindrical Disk Derivation
LINEAR ALGEBRA #LECTURE: Subspaces Introduction w/example
Переглядів 3414 днів тому
LINEAR ALGEBRA #LECTURE: Subspaces Introduction w/example
CALC 2: Integration Techniques Integration By Parts, Basic Trig Substitution, U Substitution
Переглядів 8714 днів тому
CALC 2: Integration Techniques Integration By Parts, Basic Trig Substitution, U Substitution
LINEAR ALGEBRA #LECTURE: Verifying Whether Complex Numbers Form A Field
Переглядів 4421 день тому
LINEAR ALGEBRA #LECTURE: Verifying Whether Complex Numbers Form A Field
CALC 3 #Lecture Supplement: Solving Volume Integral Using Spherical Coordinates
Переглядів 4621 день тому
CALC 3 #Lecture Supplement: Solving Volume Integral Using Spherical Coordinates
Can u do more for solide state of physics?
Sure! Any topic in particular?
Thanks for this video! For normalization of the state vector, we divide by the *square root* of the inner product right? I saw you square rooted the inner product in the next step but just wanted to be sure.
yes, that is correct! To normalize the state you need to divide the state by the *square root* of the inner product of the state on itself: (<f|f>)^(1/2) for state |f>. The steps after are correct. please excuse the typo in the video
@rhPhysics thank you! Is it possible for you to do a video on spherical harmonics?
@@christianlewis3870 That may be (one of the) next series!
Been waiting for this one! Great stuff
Excellent! Next series for quantum will likely be on *QM in 3D* - which will introduce the different types of orthogonal functions.
Excellent work. I’d love to learn more about orthogonal vector spaces and orthogonal function spaces. Everyone learns sine and cosine as a function space but are there others? Thanks!
Thank you! There are definitely other orthogonal vector spaces and function spaces. In my upcoming video(s), I will address this - but if you would like to see a separate video detailing orthogonality (beyond QM realm) let me know.
@ that would be incredible. I’m a first year graduate student getting caught up on math and videos like these are wonderful. New sub from me!
I have been looking/waiting for something like this. Merci!
Of course!
Thank you:-)
of course!
Just found your channel. Looks great! Looking forward to seeing some deep topics!
this assumes the incline is frictionless?
correct! That is assuming both the incline *and* the pulley is frictionless. If there was friction on the pulley, we would have to include the torque due to friction in the net torque equation.
@@rhPhysicsalright, ive been trying to find help for basically the same problem but the surface is not smooth and you have to involve the torque in the pulley with the moment of inertia formulas and stuff
@@lightningspike721 Ah I see. Look out in the for a video on that before the weekend, then. I will revisit this problem and make friction non-negligible.
Good Video!
Thanks for the feedback!