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Three-dimensional quantum mechanics in a curved space based on the q-addition
- Authors
- Chung, Won Sang; Hassanabadi, Hassan
- Issue Date
- 20-Oct-2019
- Publisher
- World Scientific Publishing Co
- Keywords
- Three-dimensional quantum mechanics; curved space; the q-addition; the diagonal metric
- Citation
- International Journal of Modern Physics A, v.34, no.29
- Indexed
- SCI
SCIE
SCOPUS
- Journal Title
- International Journal of Modern Physics A
- Volume
- 34
- Number
- 29
- ISSN
- 0217-751X
1793-656X
- Abstract
- 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.
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