Barut - Girardello coherent states for u ( p , q ) and sp ( N , R ) and their macroscopic superpositions

Abstract

The Barut-Girardello coherent states (BG CS) representation is extended to the noncompact algebras u(p, q) and sp(N,R) in (reducible) quadratic boson realizations. The sp(N,R) BG CS take the form of multimode ordinary Schrödinger cat states. Macroscopic superpositions of 2n−1 sp(N,R) CS (2n canonical CS (CCS), n = 1, 2, . . .) are pointed out which are… (More)

Topics

4 Figures and Tables

Cite this paper

@inproceedings{Trifonov1997BarutG, title={Barut - Girardello coherent states for u ( p , q ) and sp ( N , R ) and their macroscopic superpositions}, author={D. A. Trifonov}, year={1997} }