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COMPLEXIFIER VERSUS FACTORIZATION AND DEFORMATION METHODS FOR GENERATION OF COHERENT STATES OF A 1D NLHO I. MATHEMATICAL CONSTRUCTION
Stockholm University, Faculty of Science, Department of Physics.
Stockholm University, Faculty of Science, Department of Physics.
2013 (English)In: International Journal of Geometric Methods in Modern Physics (IJGMMP), ISSN 0219-8878, Vol. 10, no 10, 1350056- p.Article in journal (Refereed) Published
Abstract [en]

Three methods: complexifier, factorization and deformation, for construction of coherent states are presented for one-dimensional nonlinear harmonic oscillator (1D NLHO). Since by exploring the Jacobi polynomials P-n(a, b)' s, bridging the difference between them is possible, we give here also the exact solution of Schrodinger equation of 1D NLHO in terms of Jacobi polynomials.

Place, publisher, year, edition, pages
2013. Vol. 10, no 10, 1350056- p.
Keyword [en]
Complexifier, coherent states, nonlinear harmonic oscillator
National Category
Physical Sciences Other Mathematics
Identifiers
URN: urn:nbn:se:su:diva-96086DOI: 10.1142/S0219887813500564ISI: 000325722100012OAI: oai:DiVA.org:su-96086DiVA: diva2:664253
Note

AuthorCount:2;

Funding Agencies:

University of Isfahan;  Swedish Research Council (VR)

Available from: 2013-11-14 Created: 2013-11-11 Last updated: 2017-12-06Bibliographically approved

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