Wigner functions of s waves

Jens Peder Dahl; S. Varro; A. Wolf; W. P. Schleich

doi:10.1103/PhysRevA.75.052107

Wigner functions of s waves

Jens Peder Dahl
, S. Varro
, A. Wolf
, W. P. Schleich

Research output: Contribution to journal › Journal article › Research › peer-review

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Abstract

We derive explicit expressions for the Wigner function of wave functions in D dimensions which depend on the hyperradius-that is, of s waves. They are based either on the position or the momentum representation of the s wave. The corresponding Wigner function depends on three variables: the absolute value of the D-dimensional position and momentum vectors and the angle between them. We illustrate these expressions by calculating and discussing the Wigner functions of an elementary s wave and the energy eigenfunction of a free particle.

Original language	English
Article number	052107
Journal	Physical Review A (Atomic, Molecular and Optical Physics)
Volume	75
Issue number	5
ISSN	1094-1622
DOIs	https://doi.org/10.1103/PhysRevA.75.052107
Publication status	Published - 2007

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Keywords

PHASE-SPACE FUNCTION
QUANTUM-MECHANICS
HYDROGEN-ATOM

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10.1103/PhysRevA.75.052107

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abstract = "We derive explicit expressions for the Wigner function of wave functions in D dimensions which depend on the hyperradius-that is, of s waves. They are based either on the position or the momentum representation of the s wave. The corresponding Wigner function depends on three variables: the absolute value of the D-dimensional position and momentum vectors and the angle between them. We illustrate these expressions by calculating and discussing the Wigner functions of an elementary s wave and the energy eigenfunction of a free particle.",

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AU - Dahl, Jens Peder

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AU - Wolf, A.

AU - Schleich, W. P.

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N2 - We derive explicit expressions for the Wigner function of wave functions in D dimensions which depend on the hyperradius-that is, of s waves. They are based either on the position or the momentum representation of the s wave. The corresponding Wigner function depends on three variables: the absolute value of the D-dimensional position and momentum vectors and the angle between them. We illustrate these expressions by calculating and discussing the Wigner functions of an elementary s wave and the energy eigenfunction of a free particle.

AB - We derive explicit expressions for the Wigner function of wave functions in D dimensions which depend on the hyperradius-that is, of s waves. They are based either on the position or the momentum representation of the s wave. The corresponding Wigner function depends on three variables: the absolute value of the D-dimensional position and momentum vectors and the angle between them. We illustrate these expressions by calculating and discussing the Wigner functions of an elementary s wave and the energy eigenfunction of a free particle.

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KW - QUANTUM-MECHANICS

KW - HYDROGEN-ATOM

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DO - 10.1103/PhysRevA.75.052107

M3 - Journal article

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JO - Physical Review A (Atomic, Molecular and Optical Physics)

JF - Physical Review A (Atomic, Molecular and Optical Physics)

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Wigner functions of s waves

Abstract

Bibliographical note

Keywords

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