Quantum Oscillators in the Canonical Coherent States

Details Quantum Oscillators in the Canonical Coherent States Quantum Oscillators in the Canonical Coherent States

2002-05-16

arxiv.org/abs/hep-th/0205175v7

Physics

High Energy Physics

High Energy Physics - Theory

Revtex, 3 figures, 16 pages, final version to submit for publication

Scientific paper

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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