On the coherent states for a relativistic scalar particle

Abstract

The three approaches to relativistic generalization of coherent states are discussed in the simplest case of a spinless particle: the standard, canonical coherent states, the Lorentzian states and the coherent states introduced by Kaiser and independently by Twareque Ali, Antoine and Gazeau. All treatments utilize the Newton-Wigner localization and dynamics described by the Salpeter equation. The behavior of expectation values of relativistic observables in the coherent states is analyzed in detail and the Heisenberg uncertainty relations are investigated.

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Cited by in corpus (6)

• Classical Yang-Mills observables from amplitudes
• Classical off-shell currents
• Macromechanics and two-body problems
• $SU(2)$-particle sigma model: Momentum-space quantization of a particle on the sphere $S^3$
• Composite particles with minimum uncertainty in spacetime
• A complete set of Lorentz-invariant wave packets and modified uncertainty relation