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Quantum Algorithms
On the variational treatment of a class of double-well oscillators
arXiv
Authors: Francisco M. Fernández, Javier Garcia
Year
2023
Paper ID
55702
Status
Preprint
Abstract Read
~2 min
Abstract Words
77
Citations
N/A
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.
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- It adds a 2023 reference point for readers tracking recent quantum research.
- We compare the well known Rayleigh-Ritz variational method (RRVM) with a recently proposed approach based on supersymmetric quantum mechanics and the Gram-Schmidt...
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