Supersymmetric Proof to Count Bound State Nodes

A normalizable static supersymmetric bound ground state annihilated by the supergenerators has got zero number of internal nodes in the framework of one-dimensional supersymmetric quantum mechanics. The supergenerator transformations between excited superpartner bound states as combined with the standard technique of Wronskian provides an elegant and self-sufficient way to derive the equality of internal nodes amount to the number of consequent excitation.

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Publication Details

Journal
Moscow University Physics Bulletin
Published
2024-12-01
DOI
https://doi.org/10.3103/s0027134924701388
Primary Topic
Quantum Mechanics and Non-Hermitian Physics
Type
article
Field-Weighted Citation Impact
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article

Supersymmetric Proof to Count Bound State Nodes

A. Aynbund, V. V. Kiselev
Moscow University Physics Bulletin
Quantum Mechanics and Non-Hermitian Physics
article

Supersymmetric Proof to Count Bound State Nodes

A. Aynbund, V. V. Kiselev
article en

Abstract

A normalizable static supersymmetric bound ground state annihilated by the supergenerators has got zero number of internal nodes in the framework of one-dimensional supersymmetric quantum mechanics. The supergenerator transformations between excited superpartner bound states as combined with the standard technique of Wronskian provides an elegant and self-sufficient way to derive the equality of internal nodes amount to the number of consequent excitation.

Moscow University Physics BulletinVol. 79(S1)
Moscow Institute of Physics and Technology (RU), Kurchatov Institute (RU), Institute for High Energy Physics (RU)
Openalex Percentile: Top 76%
Quantum Mechanics and Non-Hermitian Physics
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