Q-Deformed Harmonic Oscillator and Morse-like Anharmonic Potential

IWTCP-2; NCTP-39

Vinh, Ngo Gia^1 ; Van Ngu, Man^2 ; Lan, Nguyen Tri^3 ; Thanh, Luu Thi Kim^4 ; Viet, Nguyen Ai^3

Bac Ninh Department of Education and Training, Bac Ninh Province, Viet Nam^1

Hung Yen Industrial College, Hung Yen Province, Viet Nam^2

Institute of Physics, Vietnam Academy of Science and Technology, 10 Dao Tan Str., Ba Dinh, Hanoi, Viet Nam^3

Hanoi Pedagogical University No.2, Vinh Phuc Province, Viet Nam^4

关键词: Anharmonic potential;    Deformation parameter;    Harmonic oscillators;    Partition functions;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/627/1/012022/pdf
DOI  :  10.1088/1742-6596/627/1/012022

来源: IOP

【 摘 要 】

Connection between q-deformed harmonic oscillator and Morse-like anharmonic potential is investigated. It is well known that the potential of harmonic oscillator is parabolic. We have shown that the potential of q-deformed harmonic oscillator could be a Morse-like anharmonic potential. The relation between the deformation parameter q and the set of parameters of Morse-like anharmonic potential was found. We also investigated the partition function and some thermodynamic properties of q-deformed harmonic oscillator.