Quantum, classical and semiclassical momentum distributions: I. Theory and elementary examples
Copyright policy )Quantum, classical and semiclassical momentum distributions: I. Theory and elementary examples
Summary: We discuss the basic properties of momentum distributions in quantum mechanics for elementary systems as well as their classical analogue. Semiclassical approximations can show a quantitative connection between the classical and quantum cases. We believe that such distributions provide a useful tool to improve the understanding of elementary quantum mechanics. Important differences between distributions in coordinate and momentum space are pointed out. Elementary examples (free and uniformly accelerating particle, harmonic oscillator and square-well potential) are discussed.
Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics, Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory
Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics, Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory
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