Abstract

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 a known propagator, the 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).

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