Quantum Oscillators in the Canonical Coherent States
High Energy Physics - Theory
2007-05-23 v7
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.
Keywords
Cite
@article{arxiv.hep-th/0205175,
title = {Quantum Oscillators in the Canonical Coherent States},
author = {R. de Lima Rodrigues and A. F. de Lima and K. de Araújo Ferreira and A. N. Vaidya},
journal= {arXiv preprint arXiv:hep-th/0205175},
year = {2007}
}
Comments
Revtex, 3 figures, 16 pages, final version to submit for publication