Comment on: “Maths-type q-deformed coherent states for q>1”

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00 3 Geometrical and physical properties of maths - type q - deformed coherent states for 0

Geometrical and physical properties of maths-type q-deformed coherent states for 0 < q < 1 or q > 1 We wish to compare the geometrical and physical properties of the maths-type coherent states for q > 1 [1] with those of the same for 0 < q < 1. Many mathematical properties of the latter were indeed studied by Arik and Coon [2], but as far as we know, their remaining properties have not been con...

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M ar 2 00 3 Maths - type q - deformed coherent states

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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We review some aspects of the relation between ordinary coherent states and q-deformed generalized coherent states with some of the simplest cases of quantum Lie algebras. In particular, new properties of (q-)coherent states are utilized to provide a path integral formalism allowing to study a modified form of q-classical mechanics, to probe some geometrical consequences of the q-deformation an...

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ua nt - p h / 03 03 12 0 v 1 1 9 M ar 2 00 3 Maths - type q - deformed coherent states for q > 1

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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ژورنال

عنوان ژورنال: Physics Letters A

سال: 2004

ISSN: 0375-9601

DOI: 10.1016/j.physleta.2003.12.058