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arxiv: math-ph/0702088 · v1 · submitted 2007-02-26 · 🧮 math-ph · math.MP· quant-ph

Exact propagators for SUSY partners

classification 🧮 math-ph math.MPquant-ph
keywords hamiltoniansparticlepartnerpropagatorssusyappliedassumingcorresponding
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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).

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