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arXiv:hep-th/0205175

Quantum Oscillators in the Canonical Coherent States

R. de Lima Rodrigues, Andreísa Fabri Lima, K. de Araújo Ferreira, Arvind Narayan Vaidya

Published May 16, 2002• 5 citations
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Abstract

The main characteristics of the quantum oscillator coherent states including the two-particle Calogero interaction are investigated. We show that these Calogero coherent states are the eigenstates of the second-order differential annihilation operator which is deduced via R-deformed Heisenberg algebra or Wigner-Heisenberg algebraic technique and correspond exactly to the pure uncharged-bosonic states. They possess the important properties of non-orthogonality and completeness. The minimum uncertainty relation for the Calogero interaction coherent states is investigated. New sets of even and odd Wigner oscillator coherent states are pointed out.

DOI
10.48550/arxiv.hep-th/0205175

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