Publication:
Action–angle variables, ladder operators and coherent states

Loading...
Thumbnail Image
Full text at PDC
Publication Date
2012
Advisors (or tutors)
Editors
Journal Title
Journal ISSN
Volume Title
Publisher
Elsevier
Citations
Google Scholar
Research Projects
Organizational Units
Journal Issue
Abstract
This Letter is devoted to the building of coherent states from arguments based on classical action–angle variables. First, we show how these classical variables are associated to an algebraic structure in terms of Poisson brackets. In the quantum context these considerations are implemented by ladder type operators and a structure known as spectrum generating algebra. All this allows to generate coherent states and thereby the correspondence of classical–quantum properties by means of the aforementioned underlying structure. This approach is illustrated with the example of the one-dimensional Pöschl–Teller potential system.
Description
Keywords
Citation
A.M. Perelomov, Commun. Math. Phys. 26 (1972) 222. A.O. Barut, L. Girardello, Commun. Math. Phys. 21 (1971) 41. J.R. Klauder, B.-S. Skagerstam, Coherent States. Applications in Physics and Mathematical Physics, World Scientific, Singapore, 1985. K.T. Hecht, The Vector Coherent State Method and Its Application to Problems of Higher Symmetry, Springer-Verlag, Berlin, 1987. J.P. Gazeau, J.R. Klauder, J. Phys. A 32 (1999) 123. A.M. Perelomov, Generalized Coherent States and Their Applications, Springer-Verlag, Berlin, 1986. R.W. Robinett, Phys. Rep. 392 (2004) 1. H. Goldstein, C. Poole, J. Safko, Classical Mechanics, Addison–Wesley, San Francisco, 2002. S. Kuru, J. Negro, Ann. Phys. 323 (2008) 413. S. Kuru, J. Negro, Ann. Phys. 324 (2009) 2548. S. Cruz y Cruz, S. Kuru, J. Negro, Phys. Lett. A 372 (2008) 1391. S. Kuru, J. Negro, Phys. Lett. A 376 (2012) 260. I.Sh. Averbukh, N.F. Perelman, Phys. Lett. A 139 (1989) 449. D.L. Aronstein, C.R. Stroud, Phys. Rev. A 55 (1997) 4626. J.P. Antoine, J.P. Gazeau, J.R. Klauder, K.A. Penson, J. Math. Phys. 42 (2001) 2349. T. Shreecharan, P.K. Panigrahi, J. Banerji, Phys. Rev. A 69 (2004) 012102. D.J. Fernández, V. Hussin, O. Rosas-Ortiz, J. Phys. A 40 (2007) 6491. J.A. Calzada, S. Kuru, J. Negro, M.A. del Olmo, Ann. Phys. 327 (2012) 808
Collections