On the calculation of quantum mechanical ground states from classical geodesic motion on certain spaces of constant negative curvature

DOI10.1016/0167-2789(89)90228-5zbMath0702.58079OpenAlexW2053335366MaRDI QIDQ915245

Roman Tomaschitz

Publication date: 1989

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: http://cds.cern.ch/record/545133

zbMATH Keywords

Hausdorff dimensionLaplace-Beltrami operatorgeodesic motionenergy ground state

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Applications of global analysis to the sciences (58Z05) Global Riemannian geometry, including pinching (53C20) Relations of PDEs with special manifold structures (Riemannian, Finsler, etc.) (58J60) Ergodic theory (37A99)

Related Items

Relativistic quantum chaos in Robertson–Walker cosmologies, Cosmological CP violation, An alternative to wave mechanics on curved spaces, Electromagnetic propagators in hyperbolic Robertson–Walker cosmologies, Electromagnetic radiation in multiply connected Robertson–Walker cosmologies

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