Energy spectrum inverse problem of q-deformed harmonic oscillator and WBK approximation

3rd International Workshop on Theoretical and Computational Physics: Complex Systems and Interdisciplinary Physics;40th National Conference on Theoretical Physics

物理学;计算机科学

Sang, Nguyen Anh^1 ; Thuy, Do Thi Thu^1 ; Loan, Nguyen Thi Ha^1 ; Lan, Nguyen Tri^2 ; Viet, Nguyen Ai^2

Hanoi Pedagogical University, 2, Nguyen Van Linh Street, Phuc Yen Town, Vinh Phuc, Viet Nam^1

Institute of Physics, Vietnam Academy of Science and Technology, 10 Dao Tan, Ha Noi, Viet Nam^2

关键词: Anharmonic potential;    Energy spectra;    Harmonic oscillators;    Parabolic potential;    Practical problems;    Simple modeling;    WKB approximations;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/726/1/012019/pdf
DOI  :  10.1088/1742-6596/726/1/012019

学科分类：计算机科学（综合）

来源: IOP

【 摘 要 】

Using the connection between q-deformed harmonic oscillator and Morse-like anharmonic potential we investigate the energy spectrum inverse problem. Consider some energy levels of energy spectrum of q-deformed harmonic oscillator are known, we construct the corresponding Morse-like potential then find out the deform parameter q. The application possibility of using the WKB approximation in the energy spectrum inverse problem was discussed for the cases of parabolic potential (harmonic oscillator), Morse-like potential (q-deformed harmonic oscillator). so we consider our deformed-three-levels simple model, where the set-parameters of Morse potential and the corresponding set-parameters of level deformations are easily and explicitly defined. For practical problems, we propose the deformed- three-levels simple model, where the set-parameters of Morse potential and the corresponding set-parameters of level deformations are easily and explicitly defined.