Three-dimensional quantum mechanics in a curved space based on the q-addition

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2

초록

In this paper, we extend the theory of the q-deformed quantum mechanics in one dimension(21) into three-dimensional case. We relate the q-deformed quantum theory to the quantum theory in a curved space. We discuss the diagonal metric based on q-addition in the Cartesian coordinate system and core radius of neutron star. We also discuss the diagonal metric based on q-addition in the spherical coordinate system and q-deformed Heisenberg atom model.

키워드

Three-dimensional quantum mechanics; curved space; the q-addition; the diagonal metric; STATISTICAL-MECHANICS; DEFORMED OSCILLATOR; HARMONIC-OSCILLATOR; Q-ANALOGS; PHASE; ALGEBRA
제목
Three-dimensional quantum mechanics in a curved space based on the q-addition
저자
Chung, Won Sang; Hassanabadi, Hassan
DOI
10.1142/S0217751X1950177X
발행일
2019-10-20
유형
Article
저널명
International Journal of Modern Physics A
권
34
호
29