Basic-deformed quantum mechanics

Abstract

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.

10 pages

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Cited by in corpus (3)

• A position-dependent mass harmonic oscillator and deformed space
• Two-parametric fractional statistics models for anyons
• Non-Archimedean Quantum Mechanics via Quantum Groups