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The q-deformed Schrödinger equation based on the q-map: one dimensional case
- Chung, Won Sang;
- Dong, Shi-Hai;
- Hassanabadi, Hassan
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2초록
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 ALGEBRA; STATISTICAL-MECHANICS; HARMONIC-OSCILLATOR; Q-ANALOGS; DEFORMATION; SYMMETRY; SPECTRA; SUQ(2); MODEL
- 제목
- The q-deformed Schrödinger equation based on the q-map: one dimensional case
- 저자
- Chung, Won Sang; Dong, Shi-Hai; Hassanabadi, Hassan
- 발행일
- 2024-03
- 유형
- Article
- 권
- 139
- 호
- 3
- 언어
- ENG
- 출판사
- Springer Science + Business Media
- 발행국가
- 독일
- ISSN
- P 2190-5444