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Quantum Oscillators in the Canonical Coherent States

R. de Lima Rodrigues·A. F. de Lima·K. de Araújo Ferreira·A. N. Vaidya
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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.

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R. de Lima Rodrigues, A. F. de Lima, K. de Araújo Ferreira, A. N. Vaidya. 2002-11-18. Quantum Oscillators in the Canonical Coherent States. https://arxiv.org/abs/hep-th/0205175

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