https://doi.org/10.1140/epjp/s13360-023-04056-4
Regular Article
Supersymmetric quantum mechanical system for locating the Riemann zeros
Department of Physics, Indian Institute of Space Science and Technology, 695547, Thiruvananthapuram, Kerala, India
Received:
29
August
2022
Accepted:
26
April
2023
Published online:
2
June
2023
The ground-state energy of a supersymmetric quantum mechanical system naturally vanishes. We use this important property of the supersymmetric system to study the location of zeros of the Riemann zeta function. We construct a supersymmetric quantum mechanical model whose vanishing ground-state energy provides the location of the non-trivial zeros of the zeta function on the critical line. We also discuss the connection between the distribution of prime numbers and the location of the Riemann zeros.
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