Representations of Coherent and Squeezed States in a $f$-deformed Fock Space

Details Representations of Coherent and Squeezed States in a $f$-deformed Fock Space Representations of Coherent and Squeezed States in a $f$-deformed Fock Space

2004-05-15

arxiv.org/abs/math-ph/0405045v1

J. Phys. A: Math. Gen 37 (2004) 5640-5660

Physics

Mathematical Physics

13 pages, 4 Figures

Scientific paper

10.1088/0305-4470/37/21/010

We establish some of the properties of the states interpolating between number and coherent states denoted by $| n >_{\lambda}$; among them are the reproducing of these states by the action of an operator-valued function on $| n>$ (the standard Fock space) and the fact that they can be regarded as $f$-deformed coherent bound states. In this paper we use them, as the basis of our new Fock space which in this case are not orthogonal but normalized. Then by some special superposition of them we obtain new representations for coherent and squeezed states in the new basis. Finally the statistical properties of these states are studied in detail.

Affiliated with

Also associated with

No associations

Rating

Representations of Coherent and Squeezed States in a $f$-deformed Fock Space does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Representations of Coherent and Squeezed States in a $f$-deformed Fock Space, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Representations of Coherent and Squeezed States in a $f$-deformed Fock Space will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-230768