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Communications in Theoretical Physics

Squeezing Dynamics for an Electron in a Uniform Magnetic Field Studied in a Convenient Representation

Fan Hong‐Yi, Fan Yue

Published Sep 15, 1998• 3 citations
Publisher

Abstract

We study squeezing dynamics for an electron in a uniform magnetic field in a convenient representation proposed in Ref.[1]. The theoretical basis of the squeezing mechanism through a change of the magnetic field intensity is examined. Some physical effects caused by the squeezing are discussed. The normally ordered squeezing operator corresponding to the varying magnetic field can be derived by virtue of the technique of integration within an ordered product of operators.

DOI
10.1088/0253-6102/30/2/301

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We study squeezing dynamics for an electron in a uniform magnetic field in a convenient representation proposed in Ref.[1]. The theoretical basis of the squeezing mechanism through a change of the magnetic field intensity is examined. Some physical effects caused by the squeezing are discussed. The normally ordered squeezing operator corresponding to the varying magnetic field can be derived by virtue of the technique of integration within an ordered product of operators.
By using the technique of integration within an ordered product (IWOP) of operators, we derive the normal-product form of the gauge-invariant Wigner operator of an electron in a uniform magnetic field and its expression in the newly constructed |λ> representation. The virtue of working in the |λ> representation lies in the fact that it is expressed in terms of the ladder operators Π±, K±(see Eq. (10)), thus the magnetic vector potential can naturally be included. On these bases we can easily obtain Wigner functions of some important electron states.