The Riemann zeta function and the inverted harmonic oscillator

DOI10.1006/aphy.1996.5636zbMath0923.11122OpenAlexW1991703857MaRDI QIDQ1269391

S. M. Reimann, E. L. Tomusiak, Avinash Khare, Rajat K. Bhaduri

Publication date: 31 October 1999

Published in: Annals of Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/aphy.1996.5636

zbMATH Keywords

Riemann zeta functiondynamical systemsGutzwiller trace formulainverted harmonic oscillatorLorentzian smoothingquantum scattering phase shift

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) (zeta (s)) and (L(s, chi)) (11M06) Miscellaneous applications of number theory (11Z05) Quantum scattering theory (81U99)

Related Items (7)

The Berry–Keating operator on a lattice ⋮ Hartman effect and dissipative quantum systems ⋮ Equivalent Hamiltonian approach to quantum cosmology of integrable models ⋮ Convergence acceleration via combined nonlinear-condensation transformations ⋮ The Riemann zeros and the cyclic renormalization group ⋮ Physics of the inverted harmonic oscillator: From the lowest Landau level to event horizons ⋮ Anti- \(\mathcal{PT}\)-symmetric harmonic oscillator and its relation to the inverted harmonic oscillator

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