https://doi.org/10.1140/epjp/s13360-020-00130-3
Regular Article
Study of the sextic and decatic anharmonic oscillators using an interpolating scale function
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
* e-mail: tapassil@iiitdm.ac.in
Received:
29
August
2019
Accepted:
3
January
2020
Published online:
28
January
2020
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.
© Società Italiana di Fisica (SIF) and Springer-Verlag GmbH Germany, part of Springer Nature, 2020
