SUPERSYMMETRIC QUANTUM MECHANICS AND THE INVERSE SCATTERING METHOD
198519 pages
Published in:
- J.Phys.A 18 (1985) 2937-2955
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Abstract: (IOP)
The procedures for finding a new potential (1) by eliminating the ground state of a given potential, (2) by adding a bound state below the ground state of a given potential and (3) by generating the phase equivalent family of a given potential using the supersymmetric pairing of the spectra of the operators A+A- and A-A+ are compared with the application of the Gelfand-Levitan procedure (1955) for the corresponding cases. It is shown how the equivalence of the two procedures may be established. A distinction is made between the modifications of the Jost functions associated with four different types of transformations generated by the concept of a supersymmetric partner to a given Schrodinger equation. It is shown that the Bargmann class of potentials may be generated using suitable combinations of the four types of transformations.- QUANTUM MECHANICS: GROUND STATE
- NONRELATIVISTIC
- BOUND STATE
- POTENTIAL
- SUPERSYMMETRY
- SCHROEDINGER EQUATION
- BOUNDARY CONDITION
- MATHEMATICAL METHODS: ANALYTIC PROPERTIES
- INVERSE SCATTERING METHOD
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