Exact solution of two-thirds power potential

Yu-Jie Chen; Shi-Lin Li; Wen-Du Li; Wu-Sheng Dai

doi:10.1209/0295-5075/ac6b51

All issues

Volume 138 / No 3 (May 2022)

EPL, 138 3 (2022) 38002

Abstract

Issue		EPL Volume 138, Number 3, May 2022


Article Number		38002
Number of page(s)		5
Section		Quantum information
DOI		https://doi.org/10.1209/0295-5075/ac6b51
Published online		24 May 2022

EPL, 138 (2022) 38002

Exact solution of two-thirds power potential

Yu-Jie Chen¹, Shi-Lin Li¹, Wen-Du Li²^(a) and Wu-Sheng Dai¹^(b)

¹ Department of Physics, Tianjin University - Tianjin 300350, PRC
² College of Physics and Materials Science, Tianjin Normal University - Tianjin 300387, PRC

^(a) liwendu@tjnu.edu.cn
^(b) daiwusheng@tju.edu.cn (corresponding author)

Received: 7 March 2022
Accepted: 28 April 2022

Abstract

The exact solution of the two-thirds power potential $U\left( r\right) =\eta r^{2/3}$ is given. The two-thirds power potential has only bound states.

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