Quantum Mechanics of Klein-Gordon Fields II: Relativistic Coherent States

Details Quantum Mechanics of Klein-Gordon Fields II: Relativistic Coherent States Quantum Mechanics of Klein-Gordon Fields II: Relativistic Coherent States

2006-02-20

arxiv.org/abs/quant-ph/0602161v1

AnnalsPhys.321:2210-2241,2006

Physics

Quantum Physics

32 pages, 17 figures, to appear in Ann. Phys. (NY)

Scientific paper

10.1016/j.aop.2006.02.008

We use the formulation of the quantum mechanics of first quantized Klein-Gordon fields given in the first of this series of papers to study relativistic coherent states. In particular, we offer an explicit construction of coherent states for both charged and neutral (real) free Klein-Gordon fields as well as for charged fields interacting with a constant magnetic field. Our construction is free from the problems associated with charge-superselection rule that complicated the previous studies. We compute various physical quantities associated with our coherent states and present a detailed investigation of their classical (nonquantum) and nonrelativistic limits.

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