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

Permalink: https://www.hzdr.de/publications/Publ-9530
Publ.-Id: 9530