Squeezed States, Gauge Invariance and Wigner Functions of a Particle in a Homogeneous Magnetic Field

Authors: M.G. Benedict; A. Czirják; F.M. Peeters

Source: Acta Physica Hungarica A, Volume 20, Numbers 1-2, 19 January 2004 , pp. 35-42(8)

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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.

Keywords: Wigner function; squeezed states; magnetic field

Document Type: Research article

Publication date: 2004-01-19

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