Basic-deformed quantum mechanics

Details Basic-deformed quantum mechanics Basic-deformed quantum mechanics

2009-11-09

arxiv.org/abs/0911.1627v1

Rept.Math.Phys.64:79,2009

Physics

Mathematical Physics

10 pages

Scientific paper

Starting on the basis of $q$-symmetric oscillator algebra and on the associate $q$-calculus properties, we study a deformed quantum mechanics defined in the framework of the basic square-integrable wave functions space. In this context, we introduce a deformed Schroedinger equation, which satisfies the main quantum mechanics assumptions and admits, in the free case, plane wave functions that can be expressed in terms of the q-deformed exponential, originally introduced in the framework of the basic-hypergeometric functions.

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