The q-boson Algebra and su(q)(2) Algebra Based on q-deformed Binary Operations

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초록

In this paper we use the q-deformed binary operations to discuss q-derivative, q-integral, q-exponential function, q-Gamma function and q-logarithm and q-deformed complex number. We define the q-binary operation of q-matrix. Using these, we construct the q-boson algebra and su(q)(2) algebra based on the q-deformed binary operations.

키워드

q-boson algebra; su_q(2) algebra; q-deformed binary operations; STATISTICAL-MECHANICS; HARMONIC-OSCILLATOR; Q-ANALOGS; THERMODYNAMICS; DEFORMATION; CALCULUS
제목
The q-boson Algebra and su(q)(2) Algebra Based on q-deformed Binary Operations
저자
Chung, Won Sang; Hassanabadi, Hassan
DOI
10.1007/s10773-021-04828-7
발행일
2021-06
유형
Article
저널명
International Journal of Theoretical Physics
권
60
호
6
페이지
2102 ~ 2114