Template:Quantum Mechanics A: Difference between revisions
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{{PhysicsNavigation | {{PhysicsNavigation | ||
|Name = [[Phy5645|Quantum Mechanics A]] | |Name = [[Phy5645|Quantum Mechanics A]] | ||
|Label = | |Label = [[Image:SchrodEq.png|150px]] | ||
|LabelId = <small>[[ | |LabelId = <small><b>[[Schrödinger Equation]]</b><br/>The most fundamental equation of quantum mechanics; given a Hamiltonian <math>\mathcal{H}</math>, it describes how a state <math>|\Psi\rangle</math> evolves in time.</small> | ||
|Topic1 = [[Physical Basis of Quantum Mechanics]] | |Topic1 = [[Physical Basis of Quantum Mechanics]] | ||
|Items1 = [[ | |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]] | |||
|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, Eigenfunctions, and Symmetry]] | ||
|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 = | |Topic4 = [[Motion in One Dimension]] | ||
|Items4 = [[ | |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 = | |Topic5 = [[Discrete Eigenvalues and Bound States - The Harmonic Oscillator and the WKB Approximation|Discrete Eigenvalues and Bound States]] | ||
|Items5 = [[ | |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 = [[ | |Topic6 = [[Time Evolution and the Pictures of Quantum Mechanics]] | ||
|Items6 = [[ | |Items6 = [[The Heisenberg Picture: Equations of Motion for Operators]]<br />[[The Interaction Picture]]<br />[[The Virial Theorem]] | ||
| | |Topic7 = [[Angular Momentum]] | ||
|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 = [[Central Forces]] | |||
|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]] | |||
|Items9 = [[Feynman Path Integrals]]<br />[[The Free-Particle Propagator]]<br />[[Propagator for the Harmonic Oscillator]] | |||
|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 />[[Coulomb Potential Scattering]] | |||
|cTopic = {{{cTopic}}} | |cTopic = {{{cTopic}}} | ||
}} | }} | ||
