The spectral determinant of the isotropic quantum harmonic oscillator in arbitrary dimensions

DOI10.1007/s00208-018-1692-xzbMath1403.81013OpenAlexW2802376122MaRDI QIDQ1627771

Pedro Freitas

Publication date: 3 December 2018

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00208-018-1692-x

zbMATH Keywords

Dirac operatorzeta functionquantum harmonic oscillatorspectral determinant

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Asymptotic distributions of eigenvalues in context of PDEs (35P20) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Selberg zeta functions and regularized determinants; applications to spectral theory, Dirichlet series, Eisenstein series, etc. (explicit formulas) (11M36)

Related Items

The determinant of one-dimensional polyharmonic operators of arbitrary order, Maximal determinants of Schrödinger operators on bounded intervals

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