Version 1
: Received: 4 September 2023 / Approved: 5 September 2023 / Online: 6 September 2023 (02:37:18 CEST)
How to cite:
Fernandez, F.; Garcia, J. On the Variational Treatment of a Class of Double-Well Oscillators. Preprints2023, 2023090309. https://doi.org/10.20944/preprints202309.0309.v1
Fernandez, F.; Garcia, J. On the Variational Treatment of a Class of Double-Well Oscillators. Preprints 2023, 2023090309. https://doi.org/10.20944/preprints202309.0309.v1
Fernandez, F.; Garcia, J. On the Variational Treatment of a Class of Double-Well Oscillators. Preprints2023, 2023090309. https://doi.org/10.20944/preprints202309.0309.v1
APA Style
Fernandez, F., & Garcia, J. (2023). On the Variational Treatment of a Class of Double-Well Oscillators. Preprints. https://doi.org/10.20944/preprints202309.0309.v1
Chicago/Turabian Style
Fernandez, F. and Javier Garcia. 2023 "On the Variational Treatment of a Class of Double-Well Oscillators" Preprints. https://doi.org/10.20944/preprints202309.0309.v1
Abstract
We compare the well known Rayleigh-Ritz variational method (RRVM) with a recently proposed approach based on supersymmetric quantum mechanics and the Gram-Schmidt orthogonalization method (SSQMGS). We apply both procedures to a particular class of double-well harmonic oscillators that had been conveniently chosen for the application of the latter approach. The RRVM eigenvalues converge smoothly from above providing much more accurate results with less computational effort. Present results show that the unproved SSQMGS upper bounds do not hold.
Copyright:
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
