https://doi.org/10.1140/epjp/s13360-020-00915-6
Regular Article
Eigensolutions and expectation values of shifted-rotating Möbius squared oscillator
Department of Physics, School of Physical Sciences, Modibbo Adama University of Technology, P.M.B. 2076, Yola, Adamawa State, Nigeria
Received:
21
August
2020
Accepted:
4
November
2020
Published online:
9
November
2020
In this paper we have employed exact quantization rule and the Hellman–Feynman theorem to obtain bound states eigensolutions and expectation values of the shifted-rotating Möbius squared oscillator, and we have used the Pekeris-like approximation recipe to effect solution for bound states energy eigenspectra, and in solving the Riccati equation for the eigenfunctions, cases of Q ≠ 0 and Q = 0 were considered in our solutions. We have also applied our derived formulas to compute numerical values to the spectroscopic parameters of four diatomic molecules: CO, LiH, H2 and ICl. Our analysis showed that numerical results we obtained for potential parameters, bound states energy eigenspectra and expectation values are consistent with available data in the literature and that molecular interactions in CO, LiH, H2 and ICl are best described by improved Wei oscillator than by Morse oscillator.
© Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2020
