Coherent states and their time dependence in fractional dimensions
| dc.contributor.author | Thilagam, A. | |
| dc.contributor.author | Lohe, M. | |
| dc.date.issued | 2007 | |
| dc.description.abstract | We construct representations of the Lie algebra using representations of the momentum and position operators satisfying the R-deformed Heisenberg relations, in which the fractional dimension d and angular momentum ℓ appear as parameters. The Bargmann index κ, which characterizes representations of the positive discrete series of , can take any positive value. We construct coherent states in fractional dimensions, in particular we extend the two well-known analytic representations of coherent states for , Perelomov and Barut-Girardello states, from dimension one to any dimension d. We generalize this construction to time-dependent coherent states by means of the symmetries of the quantum time-dependent harmonic oscillator in fractional dimensions. We investigate the uncertainty relations of the momentum and position operators with respect to these coherent states, and their dependence on the dimension. © 2007 IOP Publishing Ltd. | |
| dc.description.statementofresponsibility | A Thilagam and M A Lohe | |
| dc.identifier.citation | Journal of Physics A: Mathematical and Theoretical, 2007; 40(35):10915-10933 | |
| dc.identifier.doi | 10.1088/1751-8113/40/35/013 | |
| dc.identifier.issn | 1751-8113 | |
| dc.identifier.issn | 1751-8121 | |
| dc.identifier.orcid | Lohe, M. [0000-0002-5214-2225] | |
| dc.identifier.uri | http://hdl.handle.net/2440/44222 | |
| dc.language.iso | en | |
| dc.publisher | IOP Publishing Ltd | |
| dc.source.uri | http://www.iop.org/EJ/abstract/1751-8121/40/35/013/ | |
| dc.title | Coherent states and their time dependence in fractional dimensions | |
| dc.type | Journal article | |
| pubs.publication-status | Published |