Template:Quantum Mechanics A: Difference between revisions

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|Items2 = [[Original Idea of Schrödinger Equation]]<br /> [[Brief Derivation of Schrödinger Equation]]<br /> [[Stationary States]]<br /> [[Conservation of Probability]]<br /> [[States, Dirac Bra-Ket Notation]]<br /> [[Heisenberg Uncertainty Principle]]<br /> [[Some Consequences of the Uncertainty Principle]]
|Items2 = [[Original Idea of Schrödinger Equation]]<br /> [[Brief Derivation of Schrödinger Equation]]<br /> [[Stationary States]]<br /> [[Conservation of Probability]]<br /> [[States, Dirac Bra-Ket Notation]]<br /> [[Heisenberg Uncertainty Principle]]<br /> [[Some Consequences of the Uncertainty Principle]]
|Topic3 = [[Motion in One Dimension]]
|Topic3 = [[Motion in One Dimension]]
|Items3 = [[One-Dimensional Bound States]]<br /> [[The Dirac Delta Function Potential]]<br /> [[Scattering States]]<br /> [[Oscillation Theorem]]<br /> [[Transmission-Reflection, S-Matrix]]<br /> [[Motion in a Periodic Potential]]<br /> [[Summary of 1D Systems]]
|Items3 = [[One-Dimensional Bound States]]<br /> [[The Dirac Delta Function Potential]]<br /> [[Scattering States]]<br /> [[Oscillation Theorem]]<br /> [[Transmission-Reflection, S-Matrix]]<br /> [[Motion in a Periodic Potential]]<br /> [[Summary of One-Dimensional Systems]]
|Topic4 = [[Operators, eigenfunctions, symmetry, and time evolution]]
|Topic4 = [[Operators, Eigenfunctions, Symmetry, and Time Evolution]]
|Items4 = [[Linear Vector Space and Operators]]<br />[[Commutation relations and simultaneous eigenvalues]]<br />[[Symmetry and Its Role in Quantum Mechanics]]<br />[[Ehrenfest's Theorem]]<br />[[Heisenberg and interaction picture: Equations of motion for operators]]<br />[[The Interaction Picture]]<br />[[The Virial Theorem]]<br />[[Feynman path integrals]]<br />[[Problems]]
|Items4 = [[Linear Vector Space and Operators]]<br />[[Commutation relations and simultaneous eigenvalues]]<br />[[Symmetry and Its Role in Quantum Mechanics]]<br />[[Ehrenfest's Theorem]]<br />[[Heisenberg and interaction picture: Equations of motion for operators]]<br />[[The Interaction Picture]]<br />[[The Virial Theorem]]<br />[[Feynman path integrals]]<br />[[Problems]]
|Topic5 = [[Discrete eigenvalues and bound states. Harmonic oscillator and WKB approximation|Discrete eigenvalues and bound states]]
|Topic5 = [[Discrete eigenvalues and bound states. Harmonic oscillator and WKB approximation|Discrete eigenvalues and bound states]]

Revision as of 16:00, 3 April 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
Original Idea of Schrödinger Equation
Brief Derivation of Schrödinger Equation
Stationary States
Conservation of Probability
States, Dirac Bra-Ket Notation
Heisenberg Uncertainty Principle
Some Consequences of the Uncertainty Principle
One-Dimensional Bound States
The Dirac Delta Function Potential
Scattering States
Oscillation Theorem
Transmission-Reflection, S-Matrix
Motion in a Periodic Potential
Summary of One-Dimensional Systems
Linear Vector Space and Operators
Commutation relations and simultaneous eigenvalues
Symmetry and Its Role in Quantum Mechanics
Ehrenfest's Theorem
Heisenberg and interaction picture: Equations of motion for operators
The Interaction Picture
The Virial Theorem
Feynman path integrals
Problems
Harmonic oscillator spectrum and eigenstates
Analytical Method for Solving the Simple Harmonic Oscillator
Coherent states
Feynman path integral evaluation of the propagator
Motion in electromagnetic field
WKB Approximation
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
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