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.
Authors
- A. Aynbund (ORCID: https://orcid.org/0000-0003-2271-8251)
- V. V. Kiselev (ORCID: https://orcid.org/0000-0002-0096-2301)
Institutions
- Moscow Institute of Physics and Technology (RU)
- Kurchatov Institute (RU)
- Institute for High Energy Physics (RU)
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
- 0.00