Exact propagators for SUSY partners
Exact propagators for SUSY partners
Pupasov, A.; Samsonov, B.; Günther, U.
Pairs of SUSY partner Hamiltonians are studied which are interrelated by usual (linear) or polynomial supersymmetry. Assuming the model of one of the Hamiltonians as exactly solvable with known propagator, expressions for propagators of partner models are derived. The corresponding general results are applied to "a particle in a box", the Harmonic oscillator and a free particle (i.e. to transparent potentials).
Keywords: linear supersymmetry; polynomial supersymmetry; quantum mechanics; propagator; Green function; harmonic oscillator; transparent potential
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Journal of Physics A 40(2007), 10557-10587
DOI: 10.1088/1751-8113/40/34/013
ISSN: 1751-8121
Cited 12 times in Scopus
Permalink: https://www.hzdr.de/publications/Publ-9530
Publ.-Id: 9530