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