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Quantum Algorithms
Perturbation theory for short-range weakly-attractive potentials in one dimension
arXiv
Authors: Paolo Amore, Francisco M. Fernández
Year
2016
Paper ID
43054
Status
Preprint
Abstract Read
~2 min
Abstract Words
80
Citations
N/A
Abstract
We have obtained the perturbative expressions up to sixth order for the energy of the bound state in a one dimensional, arbitrarily weak, short range finite well, applying a method originally developed by Gat and Rosenstein Ref. [3]. The expressions up to fifth order reproduce the results already known in the literature, while the sixth order had not been calculated before. As an illustration of our formulas we have applied them to two exactly solvable problems and to a nontrivial problem.
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- It adds a 2016 reference point for readers tracking recent quantum research.
- We have obtained the perturbative expressions up to sixth order for the energy of the bound state in a one dimensional, arbitrarily weak, short range finite well, applying a...
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