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Maths-type q-deformed coherent states for q > 1

C. Quesne, K. A. Penson, V. M. Tkachuk

quant-pharXiv:quant-ph/0303120

Abstract

Maths-type q-deformed coherent states with q > 1 allow a resolution of unity in the form of an ordinary integral. They are sub-Poissonian and squeezed. They may be associated with a harmonic oscillator with minimal uncertainties in both position and momentum and are intelligent coherent states for the corresponding deformed Heisenberg algebra.

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