The minimum-uncertainty coherent states for Landau levels

Journal Article · Sat Dec 15 04:00:00 EST 2012 · Journal of Mathematical Physics

DOI:https://doi.org/10.1063/1.4770258· OSTI ID:22094016

Dehghani, A. ^[1]; Fakhri, H. ^[2]; Mojaveri, B. ^[3]

---

1. Physics Department, Payame Noor University, P. O. Box 19395-4697 Tehran (Iran, Islamic Republic of)
2. Department of Theoretical Physics and Astrophysics, Faculty of Physics, University of Tabriz, P. O. Box 51666-16471 Tabriz (Iran, Islamic Republic of)
3. Department of Physics, Azarbaijan Shahid Madani University, P. O. Box 51745-406 Tabriz (Iran, Islamic Republic of)

The Glauber minimum-uncertainty coherent states with two variables for Landau levels, based on the representation of Weyl-Heisenberg algebra by two different modes, have been studied about four decades ago. Here, we introduce new two-variable coherent states with minimum uncertainty relationship for Landau levels in three different methods: the infinite unitary representation of su(1, 1) is realized in two different methods, first, by consecutive levels with the same energy gaps and also with the same value for z-angular momentum quantum number, then, by shifting z-angular momentum mode number by two units while the energy level remaining the same. Besides, for su(2), whether by lowest Landau levels or Landau levels with lowest z-angular momentum, just one finite unitary representation is introduced. Having constructed the generalized Klauder-Perelomov coherent states, for any of the three representations, we obtain their Glauber coherency by displacement operator of Weyl-Heisenberg algebra.

• OSTI ID: 22094016
• Journal Information: Journal of Mathematical Physics, Journal Name: Journal of Mathematical Physics Journal Issue: 12 Vol. 53; ISSN JMAPAQ; ISSN 0022-2488
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ALGEBRA
ANGULAR MOMENTUM
ANNIHILATION OPERATORS
EIGENSTATES
ENERGY GAP
ENERGY LEVELS
HEISENBERG MODEL
MATHEMATICAL SOLUTIONS
SU GROUPS
SU-2 GROUPS
UNCERTAINTY PRINCIPLE
WEYL UNIFIED THEORY