Quantum physics, also known as quantum mechanics, is a fundamental theory of physics that provides a description of the physical properties of nature at the scale of atoms and subatomic particles. It is the foundation of all #quantumphysics, including quantum chemistry, quantum field theory, quantum technology and quantum information science.

In this course, you will discover #quantummechanics from start to finish. The following topics of quantum mechanics were covered in this course:

️ Table of contents ️
️ (0:00:00) Introduction to quantum mechanics
️ (0:16:23) The field 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 the wave function
️ (1:51:47) Position, velocity and momentum of 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 Schrödinger equation
️ (3:09:55) Stationary solutions to the Schrödinger equation
️ (3:15:47) Superposition of stationary states
️ (3:25:37) Potential function in the Schrödinger equation
️ (3:48:10) Infinite square well (particle in a box)
️ (4:00:58) Infinite Square Well States, Orthogonality – Fourier Series
️ (4:08:07) Example of infinite square well – calculation and simulation
️ (4:39:27) Quantum harmonic oscillators via scaling operators
️ (5:16:48) Quantum harmonic oscillators via power series
️ (5:28:32) Free particles and the Schrödinger equation
️ (5:34:37) Free particle 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 Schrödinger equation
️ (6:24:39) The bound state solution of the potential of the delta function TISE
️ (6:43:29) Potential of the diffusion delta function
️ (6:55:49) Diffusion states of finite square wells
️ (7:07:39) Introduction to Linear Algebra for Quantum Mechanics
️ (7:10:34) Linear transformation
️ (7:13:04) The mathematical formalism is quantum mechanics
️ (7:37:52) Hermitian Operator's own tricks
️ (8:01:23) Statistics in formalized quantum mechanics
️ (8:24:26) Generalized uncertainty principle
️ (8:54:36) Energy time uncertainty
️ (9:16:33) Schrödinger equation in 3D
️ (9:19:56) Hydrogen spectrum
️ (9:31:14) Angular momentum operator algebra
️ (9:57:17) Eigenfunction of angular momentum
️ (10:18:08) Spin in quantum mechanics
️ (10:22:23) Two-particle 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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