Generalized Coherent States Approach to Deformation Quantization
Abstract
Generalized (f)-coherent state approach in deformation quantization framework is investigated by using a *-eigenvalue equation. For this purpose we introduce a new Moyal star product called f-star product, so that by using this *f-eigenvalue equation one can obtain exactly the spectrum of a general Hamiltonian of a deformed system. Eventually the method is supported with some examples.
- Publication:
-
International Journal of Modern Physics A
- Pub Date:
- July 2012
- DOI:
- 10.1142/S0217751X12500959
- Bibcode:
- 2012IJMPA..2750095G
- Keywords:
-
- Deformation quantization;
- star product;
- nonlinear coherent state;
- 03.65.-W;
- 02.40.Tt;
- Complex manifolds