Template:Quantum Mechanics A: Difference between revisions

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|Items1 = [[Basic Concepts and Theory of Motion]]<br /> [[UV Catastrophe (Black-Body Radiation)]]<br /> [[Photoelectric Effect]]<br /> [[Stability of Matter]]<br /> [[Double Slit Experiment]]<br /> [[Stern-Gerlach Experiment]]<br /> [[The Principle of Complementarity]]<br /> [[The Correspondence Principle]]<br /> [[The Philosophy of Quantum Theory]]
|Items1 = [[Basic Concepts and Theory of Motion]]<br /> [[UV Catastrophe (Black-Body Radiation)]]<br /> [[Photoelectric Effect]]<br /> [[Stability of Matter]]<br /> [[Double Slit Experiment]]<br /> [[Stern-Gerlach Experiment]]<br /> [[The Principle of Complementarity]]<br /> [[The Correspondence Principle]]<br /> [[The Philosophy of Quantum Theory]]
|Topic2 = [[Schrödinger Equation]]
|Topic2 = [[Schrödinger Equation]]
|Items2 = [[Brief Derivation of Schrödinger Equation]]<br /> [[Relation Between the Wave Function and Probability Density]]<br /> [[Stationary States]]<br /> [[States, Dirac Bra-Ket Notation]]<br /> [[Heisenberg Uncertainty Principle]]<br /> [[Some Consequences of the Uncertainty Principle]]
|Items2 = [[Brief Derivation of Schrödinger Equation]]<br /> [[Relation Between the Wave Function and Probability Density]]<br /> [[Stationary States]]<br /> [[Heisenberg Uncertainty Principle]]<br /> [[Some Consequences of the Uncertainty Principle]]
|Topic3 = [[Operators, Eigenstates, and Symmetry]]
|Topic3 = [[Operators, Eigenfunctions, and Symmetry]]
|Items3 = [[Linear Vector Spaces and Operators]]<br />[[Commutation Relations and Simultaneous Eigenvalues]]<br />[[Symmetry and its Role in Quantum Mechanics]]<br />[[Ehrenfest's Theorem]]
|Items3 = [[Linear Vector Spaces and Operators]]<br />[[Commutation Relations and Simultaneous Eigenvalues]]<br />[[The Schrödinger Equation in Dirac Notation]]<br />[[Transformations of Operators and Symmetry]]<br />[[Time Evolution of Expectation Values and Ehrenfest's Theorem]]
|Topic4 = [[Motion in One Dimension]]
|Topic4 = [[Motion in One Dimension]]
|Items4 = [[One-Dimensional Bound States]]<br /> [[Oscillation Theorem]]<br /> [[The Dirac Delta Function Potential]]<br /> [[Scattering States, Transmission and Reflection, and the S Matrix]]<br /> [[Motion in a Periodic Potential]]<br /> [[Summary of One-Dimensional Systems]]
|Items4 = [[One-Dimensional Bound States]]<br /> [[Oscillation Theorem]]<br /> [[The Dirac Delta Function Potential]]<br /> [[Scattering States, Transmission and Reflection]]<br /> [[Motion in a Periodic Potential]]<br /> [[Summary of One-Dimensional Systems]]
|Topic5 = [[Time Evolution and the Pictures of Quantum Mechanics]]
|Topic5 = [[Discrete Eigenvalues and Bound States - The Harmonic Oscillator and the WKB Approximation|Discrete Eigenvalues and Bound States]]
|Items5 = [[Heisenberg and Interaction Pictures: Equations of Motion for Operators]]<br />[[The Interaction Picture]]<br />[[The Virial Theorem]]<br />[[Feynman Path Integrals]]<br />[[Problems]]
|Items5 = [[Harmonic Oscillator Spectrum and Eigenstates]]<br /> [[Analytical Method for Solving the Simple Harmonic Oscillator]]<br /> [[Coherent States]]<br />[[Charged Particles in an Electromagnetic Field]]<br />[[WKB Approximation]]
|Topic6 = [[Discrete Eigenvalues and Bound States; Harmonic Oscillator and WKB Approximation|Discrete Eigenvalues and Bound States]]
|Topic6 = [[Time Evolution and the Pictures of Quantum Mechanics]]
|Items6 = [[Harmonic Oscillator Spectrum and Eigenstates]]<br /> [[Analytical Method for Solving the Simple Harmonic Oscillator]]<br /> [[Coherent States]]<br />[[Feynman Path Integral Evaluation of the Propagator]]<br />[[Motion in an Electromagnetic Field]]<br />[[WKB Approximation]]
|Items6 = [[The Heisenberg Picture: Equations of Motion for Operators]]<br />[[The Interaction Picture]]<br />[[The Virial Theorem]]
|Topic7 = [[Path Integral Evaluation of the Free-Particle Propagator]]
|Topic7 = [[Angular Momentum]]
|Items7 = [[Saddle point action]]<br />[[Harmonic fluctuations]]
|Items7 = [[Commutation Relations]]<br />[[Angular Momentum as a Generator of Rotations in 3D]]<br />[[Spherical Coordinates]]<br />[[Eigenvalue Quantization]]<br />[[Orbital Angular Momentum Eigenfunctions]]
|Topic8 = [[Angular momentum]]
|Topic8 = [[Central Forces]]
|Items8 = [[Commutation relations]]<br />[[Angular momentum as a generator of rotations in 3D]]<br />[[Spherical Coordinates]]<br />[[Eigenvalue quantization]]<br />[[Orbital angular momentum eigenfunctions]]<br />[[Problems on Angular Momentum]]
|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 = [[Central forces]]
|Topic9 = [[The Path Integral Formulation of Quantum Mechanics]]
|Items9 = [[Generalized derivation]]<br />[[Free particle in spherical coordinates]]<br />[[Spherical well]]<br />[[Isotropic Harmonic Oscillator]]<br />[[Hydrogen atom]]<br />[[WKB in spherical coordinates]]
|Items9 = [[Feynman Path Integrals]]<br />[[The Free-Particle Propagator]]<br />[[Propagator 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]]<br />[[Two particle scattering]]
|Items10 = [[Differential Cross Section and the Green's Function Formulation of Scattering]]<br />[[Central Potential Scattering and Phase Shifts]]<br />[[Coulomb Potential Scattering]]
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Latest revision as of 12:32, 7 March 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
Time Evolution of Expectation Values and Ehrenfest's Theorem
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
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
Propagator for the Harmonic Oscillator
Differential Cross Section and the Green's Function Formulation of Scattering
Central Potential Scattering and Phase Shifts
Coulomb Potential Scattering