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nlin.CDApr 10, 2008
11
citations (OpenAlex)
authors
  • B. Aneva
institutions
  • European Organization for Nuclear Research
  • Institute for Nuclear Research and Nuclear Energy
arXiv abstractPDF
paper

Symmetry of the Riemann Operator

arXiv:0804.1618 · doi:10.1016/S0370-2693(99)00172-0

Abstract

Chaos quantization conditions, which relate the eigenvalues of a Hermitian operator (the Riemann operator) with the non-trivial zeros of the Riemann zeta function are considered, and their geometrical interpretation is discussed.

References in corpus (2)

  • The Phase of the Riemann Zeta Function and the Inverted Harmonic Oscillator
  • Eigenstate structures around a hyperbolic point

Cited by in corpus (8)

  • Physics of the Riemann Hypothesis
  • H = x p with interaction and the Riemann zeros
  • Quantum hamiltonians and prime numbers
  • Black holes, quantum chaos, and the Riemann hypothesis
  • The Riemann zeros as energy levels of a Dirac fermion in a potential built from the prime numbers in Rindler spacetime
  • The Riemann zeros as spectrum and the Riemann hypothesis
  • General covariant xp models and the Riemann zeros
  • Wigner quantization of some one-dimensional Hamiltonians
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