QUANTUM DEFORMATIONS OF QUANTUM MECHANICS-Reference-Cited by-同舟云学术

QUANTUM DEFORMATIONS OF QUANTUM MECHANICS

Published:1993-01-10 Issue:01 Volume:08 Page:89-96
ISSN:0217-7323
Container-title:Modern Physics Letters A
language:en
Short-container-title:Mod. Phys. Lett. A

Author:

UBRIACO MARCELO R.¹

Affiliation:

1. Laboratory of Theoretical Physics, Department of Physics, P.O. Box 23343, University of the Puerto Rico, Río Piedras, PR 00931–3343, USA

Abstract

Based on a deformation of the quantum mechanical phase space we study q-deformations of quantum mechanics for qk=1 and 0<q<1. After defining a q-analog of the scalar product on the function space we discuss and compare the time evolution of operators in both cases. A formulation of quantum mechanics for qk=1 is given and the dynamics for the free Hamiltonian is studied. For 0<q<1 we develop a deformation of quantum mechanics and the cases of the free Hamiltonian and the one with a x2-potential are solved in terms of basic hypergeometric functions.

Publisher

World Scientific Pub Co Pte Lt

Subject

General Physics and Astronomy,Astronomy and Astrophysics,Nuclear and High Energy Physics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0217732393000106

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