Supersymmetric quantum mechanics and the Riemann hypothesis

We construct a supersymmetric quantum mechanical model in which the energy eigenvalues of the Hamiltonians are the products of Riemann zeta functions. We show that the trivial and nontrivial zeros of the Riemann zeta function naturally correspond to the vanishing ground state energies in this model....

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Bibliographic Details
Published in:arXiv.org 2023-08
Main Authors: Kalauni, Pushpa, Milton, Kimball A
Format: Article
Language:English
Subjects:
Eigenvalues
Hamiltonian functions
Quantum mechanics
Supersymmetry
Online Access:Get full text
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Summary:We construct a supersymmetric quantum mechanical model in which the energy eigenvalues of the Hamiltonians are the products of Riemann zeta functions. We show that the trivial and nontrivial zeros of the Riemann zeta function naturally correspond to the vanishing ground state energies in this model. The model provides a natural form of supersymmetry.
ISSN:2331-8422
DOI:10.48550/arxiv.2211.04382