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- W2956795776 abstract "In this paper, I study the relation between the Guzwiller Trace for a dynamical system and the Riemann-Weil trace formula for the Riemann zeros. Using the Bohr-Sommerfeld quantization condition, the WKB rules and fractional calculus, I obtain a method to define implicitly a potential f -1 (x) for a Hamiltonian in one dimension. I then apply this method to define a Hamiltonian whose energies are the square of the Riemann zeros (imaginary part) E n =γ n 2 . I further show that for big ‘x’ the potential is very close to an exponential function." @default.
- W2956795776 created "2019-07-23" @default.
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- W2956795776 date "2013-02-27" @default.
- W2956795776 modified "2023-09-23" @default.
- W2956795776 title "Riemann Zeros, Quantum Chaos, Functional Determinants & Trace Formula" @default.
- W2956795776 hasPublicationYear "2013" @default.
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