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Relativistic coherent states and charge structure of the coordinate and momentum operators

B. I. Lev·A. A. Semenov·C. V. Usenko·J. R. Klauder
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Abstract

We consider relativistic coherent states for a spin-0 charged particle that satisfy the next additional requirements: (i) the expected values of the standard coordinate and momentum operators are uniquely related to the real and imaginary parts of the coherent state parameter; (ii) these states contain only one charge component. Three cases are considered: free particle, relativistic rotator, and particle in a constant homogeneous magnetic field. For the rotational motion of the two latter cases, such a description leads to the appearance of the so-called nonlinear coherent states.

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B. I. Lev, A. A. Semenov, C. V. Usenko, J. R. Klauder. 2002-08-29. Relativistic coherent states and charge structure of the coordinate and momentum operators. https://doi.org/10.1103/physreva.66.022115

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