Coherent states on horospheric three-dimensional Lobachevsky space

Journal Article · Mon Aug 15 00:00:00 EDT 2016 · Journal of Mathematical Physics

DOI:https://doi.org/10.1063/1.4960474· OSTI ID:22596417

Kurochkin, Yu., E-mail: [e-mail]; Shoukavy, Dz., E-mail: [e-mail] ^[1]; Rybak, I., E-mail: [e-mail] ^[1]; Instituto de Astrofísica e Ciências do Espaço, CAUP, Rua das Estrelas, 4150-762 Porto ^[2]; Faculdade de Ciências, Universidade do Porto, Rua do Campo Alegre 687, 4169-007 Porto ^[2]

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1. Institute of Physics, National Academy of Sciences of Belarus, 68 Nezalezhnasci Ave., Minsk 220072 (Belarus)
2. (Portugal)

In the paper it is shown that due to separation of variables in the Laplace-Beltrami operator (Hamiltonian of a free quantum particle) in horospheric and quasi-Cartesian coordinates of three dimensional Lobachevsky space, it is possible to introduce standard (“conventional” according to Perelomov [Generalized Coherent States and Their Applications (Springer-Verlag, 1986), p. 320]) coherent states. Some problems (oscillator on horosphere, charged particle in analogy of constant uniform magnetic field) where coherent states are suitable for treating were considered.

• OSTI ID: 22596417
• Journal Information: Journal of Mathematical Physics, Vol. 57, Issue 8; Other Information: (c) 2016 Author(s); Country of input: International Atomic Energy Agency (IAEA); ISSN 0022-2488
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ANNIHILATION OPERATORS
EIGENSTATES
HAMILTONIANS
LOBACHEVSKY GEOMETRY
THREE-DIMENSIONAL CALCULATIONS