Lewis-Riesenfeld quantization and SU(1,1) coherent states for 2D damped harmonic oscillator

Lewis-Riesenfeld quantization and SU(1,1) coherent states for 2D damped harmonic oscillator

International Conference on Applied Physics & Laser, Optics and Photonics
April 15-16, 2019 | Frankfurt, Germany

Latevi Lawson, Gabriel Avossevou and Laure Gouba

Institut de Mathematiques et de Sciences Physiques (IMSP), Benin

Posters & Accepted Abstracts : Mater Sci Nanotechnol

Abstract:

The study of dissipative systems have remained over the past years a constant source of fascination, inspiration and innovation in different branches of sciences. The study of this in quantum physics framework has been critized for violating certain laws of quantum theory. Thus, in this paper we tackle these issues and we provide a simple and complete solution for this problem in two dimensions. To do so, we use the algebraic method of operators based on the Lewis-Riesenfeld invariant procedure. Finally, from the solution of the Schrodinger equation of this system, we derive the generators of SU(1,1) Lie algebra and we construct the corresponding coherent states and study the related proprieties.

Biography:

E-mail:

lawmenx@gamil.com

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