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Phys. Rev. A 66, 022115 (2002) [11 pages]

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

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B. I. Lev* and A. A. Semenov†
Institute of Physics, National Academy of Sciences of Ukraine, 46 Nauky pr, Kiev 03028, Ukraine

C. V. Usenko‡
Physics Department, Taras Shevchenko Kiev University, 6 Academician Glushkov pr, Kiev 03127, Ukraine

J. R. Klauder§
Departments of Physics and Mathematics, University of Florida, Gainesville, Florida 32611

Received 19 April 2002; published 27 August 2002

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 α; (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.

© 2002 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevA.66.022115
DOI:
10.1103/PhysRevA.66.022115
PACS:
03.65.Fd

*Also at Physics Department, Taras Shevchenko Kiev University, Kiev 03127, Ukraine. Electronic address: lev@iop.kiev.ua

†Electronic address: sem@iop.kiev.ua

‡Electronic address: usenko@ups.kiev.ua

§Electronic address: klauder@phys.ufl.edu

 
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