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April 15-16, 2019 | Frankfurt, Germany
Applied Physics & Laser, Optics and Photonics
International Conference on
Materials Science and Nanotechnology | Volume: 3
Lewis-Riesenfeld quantization and SU(1,1) coherent states for 2D damped harmonic
oscillator
Latévi Lawson, Gabriel Avossevou
and
Laure Gouba
Institut de Mathématiques et de Sciences Physiques (IMSP), Bénin
T
he 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.
e
:
lawmenx@gamil.com