Template:Quantum Mechanics A: Difference between revisions

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|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, and the S Matrix]]<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; Harmonic Oscillator and 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 />[[Feynman Path Integral Evaluation of the Propagator]]<br />[[Motion 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 = [[Heisenberg and Interaction Pictures: Equations of Motion for Operators]]<br />[[The Interaction Picture]]<br />[[The Virial Theorem]]<br />[[Feynman Path Integrals]]<br />[[Problems]]
|Topic7 = [[Path Integral Evaluation of the Free-Particle Propagator]]
|Topic7 = [[Path Integral Evaluation of the Free-Particle Propagator]]
|Items7 = [[Saddle point action]]<br />[[Harmonic fluctuations]]
|Items7 = [[Saddle point action]]<br />[[Harmonic fluctuations]]

Revision as of 16:12, 24 June 2013

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
States, Dirac Bra-Ket Notation
Heisenberg Uncertainty Principle
Some Consequences of the Uncertainty Principle
Linear Vector Spaces and Operators
Commutation Relations and Simultaneous Eigenvalues
Symmetry and its Role in Quantum Mechanics
Ehrenfest's Theorem
One-Dimensional Bound States
Oscillation Theorem
The Dirac Delta Function Potential
Scattering States, Transmission and Reflection, and the S Matrix
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
Feynman Path Integral Evaluation of the Propagator
Motion in an Electromagnetic Field
WKB Approximation
Heisenberg and Interaction Pictures: Equations of Motion for Operators
The Interaction Picture
The Virial Theorem
Feynman Path Integrals
Problems
Saddle point action
Harmonic fluctuations
Commutation relations
Angular momentum as a generator of rotations in 3D
Spherical Coordinates
Eigenvalue quantization
Orbital angular momentum eigenfunctions
Problems on Angular Momentum
Generalized derivation
Free particle in spherical coordinates
Spherical well
Isotropic Harmonic Oscillator
Hydrogen atom
WKB in spherical coordinates
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
Two particle scattering