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- Title
Supersymmetric quantum mechanics and the Riemann hypothesis.
- Authors
Kalauni, Pushpa; Milton, Kimball A
- Abstract
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.
- Subjects
QUANTUM mechanics; ZETA functions; GROUND state energy; SUPERSYMMETRY; MECHANICAL models; RIEMANN hypothesis; NUMBER theory
- Publication
International Journal of Modern Physics A: Particles & Fields; Gravitation; Cosmology; Nuclear Physics, 2023, Vol 38, Issue 21, p1
- ISSN
0217-751X
- Publication type
Article
- DOI
10.1142/S0217751X23501105