In this course you will learn about Quantum #mechanics from the beginning to the end. The following topics of Quantum mechanics have been discussed in this course:
️ Table of Contents ️
️ (0:00:00) Introduction to quantum mechanics
️ (0:16:23) The domain of quantum mechanics
️ (0:24:18) Key concepts of quantum mechanics
️ (0:34:04) A review of complex numbers for QM
️ (0:48:12) Examples of complex numbers
️ (1:01:47) Probability in quantum mechanics
️ (1:12:17) Variance of probability distribution
️ (1:26:16) Normalization of wave function
️ (1:51:47) Position, velocity and momentum from the wave function
️ (2:10:59) Introduction to the uncertainty principle
️ (2:24:32) Key concepts of QM – revisited
️ (2:37:45) Separation of variables and Schrodinger equation
️ (3:09:55) Stationary solutions to the Schrodinger equation
️ (3:15:47) Superposition of stationary states
️ (3:25:37) Potential function in the Schrodinger equation
️ (3:48:10) Infinite square well (particle in a box)
️ (4:00:58) Infinite square well states, orthogonality – Fourier series
️ (4:08:07) Infinite square well example – computation and simulation
️ (4:39:27) Quantum harmonic oscillators via ladder operators
️ (5:16:48) Quantum harmonic oscillators via power series
️ (5:28:32) Free particles and Schrodinger equation
️ (5:34:37) Free particles wave packets and stationary states
️ (6:10:33) Free particle wave packet example
️ (6:13:43) The Dirac delta function
️ (6:20:49) Boundary conditions in the time independent Schrodinger equation
️ (6:24:39) The bound state solution to the delta function potential TISE
️ (6:43:29) Scattering delta function potential
️ (6:55:49) Finite square well scattering states
️ (7:07:39) Linear algebra introduction for quantum mechanics
️ (7:10:34) Linear transformation
️ (7:13:04) Mathematical formalism is Quantum mechanics
️ (7:37:52) Hermitian operator eigen-stuff
️ (8:01:23) Statistics in formalized quantum mechanics
️ (8:24:26) Generalized uncertainty principle
️ (8:54:36) Energy time uncertainty
️ (9:16:33) Schrodinger equation in 3d
️ (9:19:56) Hydrogen spectrum
️ (9:31:14) Angular momentum operator algebra
️ (9:57:17) Angular momentum eigen function
️ (10:18:08) Spin in quantum mechanics
️ (10:22:23) Two particles system
️ (10:58:03) Free electrons in conductors
️ (11:09:23) Band structure of energy levels in solids
️ Credit ️
Course Author: Brant Carlson
Website: https://www.youtube.com/channel/UCNIEAv633WRg4ubBIhOcwMg
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