Islamic Azad University, Iran
Posters & Accepted Abstracts: J Phys Chem Biophys
The study of different classical and quantum systems in the space of constant curvature attracts attention since long time. Studying the systems similar to the hydrogen atom was initiated by Schrodinger. Incorporating the space curvauter with some algebraic considerations, provides some insights about the curvature roles in physical systems. In the present contribution we are going to investigate the Kepler problem in the space with constant curvature by pure algebric tools. The algebraic approach was first successfully used for harmonic oscillator and the dynamical algebra of this system known as Weyl-Heisenberg algebra. An important feature of harmonic oscillator is its coherent states. The associated coherent states of the harmonic oscillator and their generalizations have found many applications in various fields of physics. We study the kepler problem in a spherical space as a curved space. Our approach is based on the f–deformed oscillator and nonlinear coherent states. This problem provides us some intuitions about the Kepler motion in a curved space. By using an algebraic approach for Kepler problem, the creation and annihilation operators associated to this system and their algebra are calculated. These operators satisfy a deformed su(2) algebra and the nonlinear coherent states of this system are constructed. The present contribution shows that these nonlinear coherent states possess some non-classical features which strongly depend on the Kepler coupling constant and space curvature parameter. Depending on the non- classical measures, the smaller the curvature parameter, the more non-classical features. Moreover, the stronger Kepler constant provides more non-classical features.
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