UNIVERSITY OF BUCHAREST
FACULTY OF PHYSICS

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2024-11-22 1:39

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Conference: Bucharest University Faculty of Physics 2012 Meeting


Section: Theoretical Physics and Applied Mathematics


Title:
On a Possible Connection Between Quantum Chaotic Systems and the Riemann-Zeta Function


Authors:
C. HANGA


Affiliation:
Faculty of Physics, University of Bucharest


E-mail
catalin_hanga@yahoo.com


Keywords:
Classical chaos, quantum chaos, Riemann-Zeta function


Abstract:
We shall discuss some unexpected and surprising links between the statistical distribution of the primes and some Hamiltonians describing a quantum chaotic system. The zeros of Riemann`s Zeta function could actually be interpreted as corresponding to the energy levels of such classes of systems.