Multi-mode q-coherent states
- 21 October 1993
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 26 (20) , 5443-5447
- https://doi.org/10.1088/0305-4470/26/20/027
Abstract
We show how to construct a multi-mode operator which satisfies the quantum-Heisenberg-Weyl algebra (H-Wq algebra); we use this operator to create new two-mode realizations of the SUq(2) and SUq(1,1) quantum algebra. We also investigate the corresponding coherent states.Keywords
This publication has 7 references indexed in Scilit:
- Generalized q-bosons and their squeezed statesJournal of Physics A: General Physics, 1991
- On the q oscillator and the quantum algebra suq(1,1)Journal of Physics A: General Physics, 1990
- Multi-mode, multi-photon coherent statesQuantum Optics: Journal of the European Optical Society Part B, 1989
- On q-analogues of the quantum harmonic oscillator and the quantum group SU(2)qJournal of Physics A: General Physics, 1989
- The quantum group SUq(2) and a q-analogue of the boson operatorsJournal of Physics A: General Physics, 1989
- Analytic solutions for three- and four-wave mixing via generalised Bose operatorsJournal of Physics A: General Physics, 1981
- Hilbert spaces of analytic functions and generalized coherent statesJournal of Mathematical Physics, 1976