Supersymmetry, shape invariance, and exactly solvable potentials

Dutt, Ranabir ; Khare, Avinash ; Sukhatme, Uday P. (1988) Supersymmetry, shape invariance, and exactly solvable potentials American Journal of Physics, 56 (2). pp. 163-168. ISSN 0002-9505

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It is well known that the harmonic oscillator potential can be solved by using raising and lowering operators. This operator method can be generalized with the help of supersymmetry and the concept of "shape-invariant" potentials. This generalization allows one to calculate the energy eigenvalues and eigenfunctions of essentially all known exactly solvable potentials in a simple and elegant manner.

Item Type:Article
Source:Copyright of this article belongs to American Institute of Physics.
Keywords:Eigenvalues; Eigenfunctions; Quantum Mechanics; Supersymmetry; Harmonic Potential; Harmonic Oscillators; Quantum Operators; Hamiltonians; Wave Functions; Ground States
ID Code:82091
Deposited On:09 Feb 2012 09:54
Last Modified:09 Feb 2012 09:54

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