https://doi.org/10.1140/epjp/s13360-024-05017-1
Regular Article
The q-deformed Schrödinger equation based on the q-map: one dimensional case
1
Department of Physics and Research Institute of Natural Science, College of Natural Science, Gyeongsang National University, 660-701, Jinju, Korea
2
Research Center for Quantum Physics, Huzhou University, 313000, Huzhou, People’s Republic of China
3
CIC, Instituto Politécnico Nacional, UPALM, CDMX, 07700, Mexico City, Mexico
4
Faculty of Physics, Shahrood University of Technology, Shahrood, Iran
c
h.hasanabadi@shahroodut.ac.ir
Received:
25
September
2023
Accepted:
16
February
2024
Published online:
2
March
2024
In this paper, we adopt q-deformed binary operations, such as q-addition, q-subtraction, q-multiplication, and q-division, to construct the q-deformed Schrödinger equation in one dimension. We explore the mathematics involving q-deformed binary operations. We q-deform the ordinary commutator and the definition of Fock space in q-deformed quantum mechanics. As examples, we discuss the particle in a box and the harmonic oscillator.
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© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2024. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
