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

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.

11 pages, 10 figures

References in corpus (2)

• Temporally stable coherent states for infinite well and Pöschl-Teller potentials
• Peculiarities of the Weyl - Wigner - Moyal formalism for scalar charged particles

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• Quantum Mechanics of Klein-Gordon Fields II: Relativistic Coherent States
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• Zitterbewegung of Klein-Gordon particles and its simulation by classical systems
• Coherent States and a Path Integral for the Relativistic Linear Singular Oscillator
• Coherent states in a magnetic field and their generalizations
• Quantum Phase Space in Relativistic Theory: the Case of Charge-Invariant Observables