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Quantum Chemistry

Supersymmetric isospectral formalism for the calculation of near-zero energy states: application to the very weakly bound {4}He trimer excited state

arXiv
Authors: Sudip Kumar Haldar, Barnali Chakrabarti, Tapan Kumar Das

Year

2011

Paper ID

31058

Status

Preprint

Abstract Read

~2 min

Abstract Words

86

Citations

N/A

Abstract

We propose a novel mathematical approach for the calculation of near-zero energy states by solving potentials which are isospectral with the original one. For any potential, families of strictly isospectral potentials (with very different shape) having desirable and adjustable features are generated by supersymmetric isospectral formalism. The near-zero energy Efimov state in the original potential is effectively trapped in the deep well of the isospectral family and facilitates more accurate calculation of the Efimov state. Application to the first excited state in 4He trimer is presented.

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  • We propose a novel mathematical approach for the calculation of near-zero energy states by solving potentials which are isospectral with the original one.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:1112.5364 [2] arXiv https://arxiv.org/abs/1112.5364 [3] Publisher https://arxiv.org/abs/1112.5364

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