Supersymmetry in QM (Q2747085)
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scientific article; zbMATH DE number 1657146
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Supersymmetry in QM |
scientific article; zbMATH DE number 1657146 |
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18 July 2002
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shape invariance of the Hamiltonian
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spectrum
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eigenstates
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superpotential method
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Supersymmetry in QM (English)
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A brief review of the well-known results of supersymmetry in quantum mechanics from the pedagogical point of view is presented. Basic ideas of the superpotential method of solving the Schrödinger equation are described. The specific property of shape invariance of the Hamiltonian causing the integrability of the Schrödinger equation is noticed. The author considers some examples of quantum-mechanical models with well-known shape invariant potentials (i.e. harmonic oscillator, Morse system, hydrogen atom, Pöschl-Teller potential) for the calculation of the spectrum and eigenstates of the corresponding Hamiltonian.
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