The q-deformed Schrödinger equation based on the q-map: one dimensional case
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초록

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. © The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2024.

키워드

QUANTUM ALGEBRASTATISTICAL-MECHANICSHARMONIC-OSCILLATORQ-ANALOGSDEFORMATIONSYMMETRYSPECTRASUQ(2)MODEL
제목
The q-deformed Schrödinger equation based on the q-map: one dimensional case
저자
Chung, Won SangDong, Shi-HaiHassanabadi, Hassan
DOI
10.1140/epjp/s13360-024-05017-1
발행일
2024-03
유형
Article
저널명
European Physical Journal Plus
139
3