A new exact quantum mechanical propagator

F.W. Wiegel, P.W. van Andel

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Abstract

The authors derive a closed-form expression for the time-dependent propagator for a quantum mechanical particle which is subject to an external force which is the sum of (i) a reflecting half-plane barrier with a straight edge, and (ii) a harmonic force pointing towards a point of the edge. This new addition to the short list of exactly known quantum mechanical Green functions is a simple combination of exponential functions and Fresnel integrals, the arguments of which are combinations of trigonometric functions
Original languageUndefined
Pages (from-to)627
JournalJournal of physics A: mathematical and general
Volume20
Issue number3
DOIs
Publication statusPublished - 1987

Keywords

  • IR-60633

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