Quantum Physics

Basic Exploration

Photoelectric Effect

Bohr Model

Blackbody Radiation

Light behave like particles "Quantization"

Photon E=hf

Plank Model

E=nhv

Emission spectra

Quantization in Energy of electron in a hygrogen atom

de Broglie

Double Slit Experiment

Born Rule P(x)=|a(x)|^2

Electron diffraction

Wave Fuction

Matter Wave

de Broglie's hypothesis λ=h/p

Wave-particle duality

Bragg scattering

Schrodinger's Equation

Time-Dependent Schrodinger's Equation

Time-Independent Schrodinger's Equation

Right-hand side

kinetic part: second-order space derivative

potential energy

Left-hand side: first-order time derivative

Hamiltonium mechnics

Wave equation

Probability Amplitude

Bound state

Particle in a Box

Infinite potential well

Probability Distribution

Finite potential well

finite number of bound state

Completeness

Fourier analysis

Degeneracy

Quantum Tunneling

Reflection and Transmission Coefficient

Eigenfuctions and eigenenergies

Simple Harmonic Oscillator

Quantum Dynamics

Time-Dependent Schroedinger Equation

Correspondence Principle

Coherent State

Formalism

Spins and Atoms

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Inner product, Commute, Hermitian conjugation

Hisenberg's equation

Hilbert space, state vector, Dirac Notation

Hermitian Operator, Unitary Operator

Uncertainty Principle

Kinetic operator, Momentum operator

Momentum basis, Position basis

Stern-Gerlach Experiment

Spin-1/2

Angular momentum

Orbital AM

Spin AM

Magnetic moment

Pauli Matrices

Spin uncertatinty principle

Spin enigenstate, Spin magnitude

Bloch Sphere

Quantum numbers

Spin precession

Larmor Frequency

Ehrefests' theorem

Rabi's formula

Spin Control

Magnetic resonance

E=hv

Superposition

Harmonic oscillator

Ground State

Free-particle wavepacket

Current Flow