Template:Quantum Mechanics A: Difference between revisions

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|Items8 = [[General Formalism]]<br />[[Free Particle in Spherical Coordinates]]<br />[[Spherical Well]]<br />[[Isotropic Harmonic Oscillator]]<br />[[Hydrogen Atom]]<br />[[WKB in Spherical Coordinates]]
|Items8 = [[General Formalism]]<br />[[Free Particle in Spherical Coordinates]]<br />[[Spherical Well]]<br />[[Isotropic Harmonic Oscillator]]<br />[[Hydrogen Atom]]<br />[[WKB in Spherical Coordinates]]
|Topic9 = [[The Path Integral Formulation of Quantum Mechanics]]
|Topic9 = [[The Path Integral Formulation of Quantum Mechanics]]
|Items9 = [[Feynman Path Integrals]]<br />[[The Free-Particle Propagator]]<br />[[Harmonic Oscillator: Saddle-Point Action]]<br />[[Harmonic Oscillator: Integration Over Fluctuations]]
|Items9 = [[Feynman Path Integrals]]<br />[[The Free-Particle Propagator]]<br />[[Path Integral for the Harmonic Oscillator]]
|Topic10 = [[Continuous Eigenvalues and Collision Theory]]
|Topic10 = [[Continuous Eigenvalues and Collision Theory]]
|Items10 = [[Differential Cross Section and the Green's Function Formulation of Scattering]]<br />[[Central Potential Scattering and Phase Shifts]]<br />[[Born Approximation and Examples of Cross-Section Calculations]]<br />[[Coulomb Potential Scattering]]
|Items10 = [[Differential Cross Section and the Green's Function Formulation of Scattering]]<br />[[Central Potential Scattering and Phase Shifts]]<br />[[Born Approximation and Examples of Cross-Section Calculations]]<br />[[Coulomb Potential Scattering]]
|cTopic = {{{cTopic}}}
|cTopic = {{{cTopic}}}
}}
}}

Revision as of 12:06, 18 January 2014

Quantum Mechanics A
SchrodEq.png
Schrödinger Equation
The most fundamental equation of quantum mechanics; given a Hamiltonian , it describes how a state evolves in time.
Basic Concepts and Theory of Motion
UV Catastrophe (Black-Body Radiation)
Photoelectric Effect
Stability of Matter
Double Slit Experiment
Stern-Gerlach Experiment
The Principle of Complementarity
The Correspondence Principle
The Philosophy of Quantum Theory
Brief Derivation of Schrödinger Equation
Relation Between the Wave Function and Probability Density
Stationary States
Heisenberg Uncertainty Principle
Some Consequences of the Uncertainty Principle
Linear Vector Spaces and Operators
Commutation Relations and Simultaneous Eigenvalues
The Schrödinger Equation in Dirac Notation
Transformations of Operators and Symmetry
One-Dimensional Bound States
Oscillation Theorem
The Dirac Delta Function Potential
Scattering States, Transmission and Reflection
Motion in a Periodic Potential
Summary of One-Dimensional Systems
Harmonic Oscillator Spectrum and Eigenstates
Analytical Method for Solving the Simple Harmonic Oscillator
Coherent States
Charged Particles in an Electromagnetic Field
WKB Approximation
The Heisenberg Picture: Equations of Motion for Operators
The Interaction Picture
Time Evolution of Expectation Values and Ehrenfest's Theorem
The Virial Theorem
Commutation Relations
Angular Momentum as a Generator of Rotations in 3D
Spherical Coordinates
Eigenvalue Quantization
Orbital Angular Momentum Eigenfunctions
General Formalism
Free Particle in Spherical Coordinates
Spherical Well
Isotropic Harmonic Oscillator
Hydrogen Atom
WKB in Spherical Coordinates
Feynman Path Integrals
The Free-Particle Propagator
Path Integral for the Harmonic Oscillator
Differential Cross Section and the Green's Function Formulation of Scattering
Central Potential Scattering and Phase Shifts
Born Approximation and Examples of Cross-Section Calculations
Coulomb Potential Scattering