A new exact quantum mechanical propagator

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

Research output: Contribution to journalArticleAcademic

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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

Cite this

Wiegel, F.W. ; van Andel, P.W. / A new exact quantum mechanical propagator. In: Journal of physics A: mathematical and general. 1987 ; Vol. 20, No. 3. pp. 627.
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A new exact quantum mechanical propagator. / Wiegel, F.W.; van Andel, P.W.

In: Journal of physics A: mathematical and general, Vol. 20, No. 3, 1987, p. 627.

Research output: Contribution to journalArticleAcademic

TY - JOUR

T1 - A new exact quantum mechanical propagator

AU - Wiegel, F.W.

AU - van Andel, P.W.

PY - 1987

Y1 - 1987

N2 - 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

AB - 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

KW - IR-60633

U2 - 10.1088/0305-4470/20/3/025

DO - 10.1088/0305-4470/20/3/025

M3 - Article

VL - 20

SP - 627

JO - Journal of physics A: mathematical and theoretical

JF - Journal of physics A: mathematical and theoretical

SN - 1751-8113

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ER -