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q ‐Deformed Quantum Mechanics Based on the q ‐Addition
Author(s) -
Chung Won Sang,
Hassanabadi Hassan
Publication year - 2019
Publication title -
fortschritte der physik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.469
H-Index - 71
eISSN - 1521-3978
pISSN - 0015-8208
DOI - 10.1002/prop.201800111
Subject(s) - eigenfunction , quantum statistical mechanics , quantum mechanics , supersymmetric quantum mechanics , physics , quantum , momentum (technical analysis) , classical mechanics , mathematical physics , mathematics , theoretical physics , eigenvalues and eigenvectors , finance , economics
In this paper we consider the q‐derivative appearing in the non‐extensive thermodynamics to formulate the q‐deformed quantum mechanics. From the q ‐addition we discuss the q ‐deformed calculus and q ‐deformed elementary functions. We use these to construct the q ‐deformed quantum mechanics. As examples we discuss momentum eigenfunction, one dimensional box problem and quantum harmonic potential problem.