Study of the sextic and decatic anharmonic oscillators using an interpolating scale function

K. Manimegalai; Swaraj Paul; M. M. Panja; Tapas Sil

doi:10.1140/epjp/s13360-020-00130-3

EPJ

Study of the sextic and decatic anharmonic oscillators using an interpolating scale function

K. Manimegalai¹, Swaraj Paul², M. M. Panja³ and Tapas Sil¹^*

¹ Department of Physics, Indian Institute of Information Technology Design and Manufacturing Kancheepuram, Chennai, Tamil Nadu, 600127, India
² Discipline of Mathematics, Indian Institute of Technology Indore, Simrol, Indore, 453 552, India
³ Department of Mathematics, Visva-Bharati, Santiniketan, West Bengal, 731235, India

Received: 29 August 2019
Accepted: 3 January 2020
Published online: 28 January 2020

Abstract

Anharmonic oscillators with the sextic and decatic potentials are studied employing the refinable interpolating scale functions. This method yields highly accurate values of both energy eigenvalues and eigenfunctions for the sextic and decatic oscillator without constraining the potential parameters. Convergence of the solutions in the present method is noticed to be very fast.

ICAMDATA 2022, 12th International Conference on Atomic and Molecular Data and Their Applications
25-29 September 2022
Bari, Italy

EPJ

Study of the sextic and decatic anharmonic oscillators using an interpolating scale function

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