Канал: Brant Carlson

Curve fitting in Python with curve_fit

Curve fitting in Python with curve_fit

Dirac notation

Dirac notation

Energy-time uncertainty

Energy-time uncertainty

Generalized uncertainty principle

Generalized uncertainty principle

Statistics in formalized quantum mechanics

Statistics in formalized quantum mechanics

Hermitian operator eigen-stuff

Hermitian operator eigen-stuff

Mathematical formalism in quantum mechanics

Mathematical formalism in quantum mechanics

Quantum statistical mechanics

Quantum statistical mechanics

Band structure of energy levels in solids

Band structure of energy levels in solids

Free electrons in conductors

Free electrons in conductors

Two particle systems

Two particle systems

Exchange forces

Exchange forces

Angular momentum addition

Angular momentum addition

Spin 1/2 in a B-field

Spin 1/2 in a B-field

Spin 1/2

Spin 1/2

Spin in quantum mechanics

Spin in quantum mechanics

Angular momentum eigenfunctions

Angular momentum eigenfunctions

Angular momentum operator algebra

Angular momentum operator algebra

Hydrogen spectrum

Hydrogen spectrum

Hydrogen atom wavefunctions

Hydrogen atom wavefunctions

Hydrogen atom radial wavefunctions

Hydrogen atom radial wavefunctions

TISE in 3d radial behavior

TISE in 3d radial behavior

From the TISE in 3d to spherical harmonics

From the TISE in 3d to spherical harmonics

Schrodinger equation in 3d

Schrodinger equation in 3d

Eigenvectors and eigenvalues

Eigenvectors and eigenvalues

Linear transformations

Linear transformations

Linear algebra introduction

Linear algebra introduction

Finite square well scattering states

Finite square well scattering states

Finite square well bound states

Finite square well bound states

Scattering state solutions to the delta function potential TISE

Scattering state solutions to the delta function potential TISE

The bound state solution to the delta function potential TISE

The bound state solution to the delta function potential TISE

Boundary conditions in the time independent Schrodinger equation

Boundary conditions in the time independent Schrodinger equation

Bound states, scattering states, and tunneling

Bound states, scattering states, and tunneling

The Dirac delta function

The Dirac delta function

Free particle wave packet example

Free particle wave packet example

Free particle wave packets and stationary states

Free particle wave packets and stationary states

Free particles and the Schrodinger equation

Free particles and the Schrodinger equation

Quantum harmonic oscillator via power series

Quantum harmonic oscillator via power series

Quantum harmonic oscillator via ladder operators

Quantum harmonic oscillator via ladder operators

Infinite square well example computations and simulation

Infinite square well example computations and simulation

Infinite square well states, orthogonality and completeness (Fourier series)

Infinite square well states, orthogonality and completeness (Fourier series)

Infinite square well (particle in a box)

Infinite square well (particle in a box)

Potential functions in the Schrodinger equation

Potential functions in the Schrodinger equation

Superposition of stationary states

Superposition of stationary states

Stationary solutions to the Schrodinger equation

Stationary solutions to the Schrodinger equation

Separation of variables and the Schrodinger equation

Separation of variables and the Schrodinger equation

Key concepts of QM, revisited

Key concepts of QM, revisited

Introduction to the uncertainty principle

Introduction to the uncertainty principle

Position, velocity, and momentum from the wavefunction

Position, velocity, and momentum from the wavefunction

Normalization of the wavefunction

Normalization of the wavefunction

Variance of probability distributions

Variance of probability distributions

Probability distributions and their properties

Probability distributions and their properties

Probability in quantum mechanics

Probability in quantum mechanics

Complex numbers examples

Complex numbers examples

A review of complex numbers

A review of complex numbers

Key concepts in quantum mechanics

Key concepts in quantum mechanics

The domain of quantum mechanics

The domain of quantum mechanics

Introduction to quantum mechanics

Introduction to quantum mechanics