High-Order SUSY-QM, the Quantum XP Model and zeroes of the Riemann Zeta function

2023/01/13 by Juan D. García-Muñoz, García-Muñoz, Juan D, A Raya +3
Computer Science · Mathematics · #Analytic Number Theory Research #Classical Physics (physics.class-ph) #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Mathematical Physics (math-ph) #Mathematical functions and polynomials #Matrix Theory and Algorithms #Quantum Physics (quant-ph)

paper · pdf · doi:10.48550/arxiv.2301.05360

openalex publication_date 2023/01/13 · openalex created_date 2023/01/17 · openalex updated_date 2026/07/28

Abstract

Making use of the first- and second-order algorithms of supersymmetric quantum mechanics (SUSY-QM), we construct quantum mechanical Hamiltonians whose spectra are related to the zeroes of the Riemann Zeta function ζ(s). Inspired by the model of Das and Kalauni (DK), which corresponds to this function in the strip 0

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