0602161v1

related topics
{field, particle, equation}
{time, wave, function}
{state, states, coherent}
{operator, operators, space}
{classical, space, random}
{group, space, representation}
{cos, sin, state}
{energy, gaussian, time}
{error, code, errors}

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

A. Mostafazadeh, F. Zamani

abstract: 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.

oai_identifier:
oai:arXiv.org:quant-ph/0602161
categories:
quant-ph gr-qc hep-th math-ph math.MP
comments:
32 pages, 17 figures, to appear in Ann. Phys. (NY)
doi:
10.1016/j.aop.2006.02.008
arxiv_id:
quant-ph/0602161
journal_ref:
AnnalsPhys.321:2210-2241,2006
created:
2006-02-20

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