Squeezed states, gauge invariance and Wigner functions of a particle in a homogeneous magnetic field

M. Benedict, A. Czirják, F. M. Peeters

Research output: Contribution to journalArticle

Abstract

We construct new types of stationary states for a particle in a homogeneous magnetic field, called states with squeezed center. In the limit of infinite squeezing we get back the Landau states, while in the case of zero squeezing we have the quasi-classically centered states. Usually the two limiting cases are obtained in different gauges, and this thought to be the essential difference between them. We show that actually a different choice of a good quantum number makes the distinction. We find the Wigner functions of these states, which being gauge invariant demonstrates explicitly this statement.

Original languageEnglish
Pages (from-to)35-42
Number of pages8
JournalActa Physica Hungarica, Series B: Quantum Electronics
Volume1
Issue number2/-
DOIs
Publication statusPublished - 2004

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gauge invariance
compressing
magnetic fields
quantum numbers

Keywords

  • Magnetic field
  • Squeezed states
  • Wigner function

ASJC Scopus subject areas

  • Condensed Matter Physics

Cite this

Squeezed states, gauge invariance and Wigner functions of a particle in a homogeneous magnetic field. / Benedict, M.; Czirják, A.; Peeters, F. M.

In: Acta Physica Hungarica, Series B: Quantum Electronics, Vol. 1, No. 2/-, 2004, p. 35-42.

Research output: Contribution to journalArticle

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