Phys. Rev. A 53, R1974–R1977 (1996)

Determination of occupation probabilities from time-averaged position distributions

Abstract

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Thomas Richter^* and Alfred Wünsche^†
Arbeitsgruppe "Nichtklassische Strahlung" der Max-Planck-Gesellschaft an der Humboldt-Universität zu Berlin, Rudower Chaussee 5, 12489 Berlin, Germany

Received 28 November 1995; published in the issue dated April 1996

We show that the occupation probabilities of the energy eigenstates excited in a wave packet moving in an arbitrary one-dimensional potential can be determined directly from the time-averaged position distribution. The sampling functions are the derivative of the product of the usual eigenfunctions and the linearly independent (non-normalizable) solutions of the Schrödinger equation for the same energy eigenvalue. This is the same structure as those for the harmonic-oscillator case.

URL:

http://link.aps.org/doi/10.1103/PhysRevA.53.R1974

DOI:

10.1103/PhysRevA.53.R1974

PACS:

42.50.Ar, 03.65.Bz, 33.90.+h

^*FAX: +4930 6392 3990. Electronic address: richter@photon.fta-berlin.de

^†FAX: +4930 6392 3990. Electronic address: wuensche@photon.fta-berlin.de

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Phys. Rev. A 53, R1974–R1977 (1996)

Determination of occupation probabilities from time-averaged position distributions