Quantum tunneling and caustics under inverse square potential

DOI10.1006/aphy.2002.6265zbMath1009.81016arXivquant-ph/0202037OpenAlexW3099698950MaRDI QIDQ699080

Hitoshi Miyazaki, Izumi Tsutsui

Publication date: 1 October 2002

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

Full work available at URL: https://arxiv.org/abs/quant-ph/0202037

zbMATH Keywords

Calogero modelsingular interaction\(U(2)\) family of inequivalent quantizationsquantization of a harmonic oscillator

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05)

Related Items (7)

Higher-spin symmetries and deformed Schrödinger algebra in conformal mechanics ⋮ PHYSICS OF SINGULAR POINTS IN QUANTUM MECHANICS ⋮ Inequivalent quantizations of the three-particle Calogero model constructed by separation of variables ⋮ Quantum abacus ⋮ On the spectrum-generating superalgebras of the deformed one-dimensional quantum oscillators ⋮ Classical and quantum motion in an inverse square potential ⋮ The zero-mass spinless Salpeter equation with a regularized inverse square potential

Cites Work

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• Boundary values for an eigenvalue problem with a singular potential
• Quantum caustics for systems with quadratic Lagrangians in multi-dimensions
• Halbbeschränkte gewöhnliche Differentialoperatoren zweiter Ordnung
• Möbius structure of the spectral space of Schrödinger operators with point interaction
• BLACK HOLES AND CONFORMAL MECHANICS
• Connection conditions and the spectral family under singular potentials
• A single quantum cannot be cloned
• Horizon states for AdS black holes
• Near-horizon conformal structure of black holes
• Symmetry, duality, and anholonomy of point interactions in one dimension

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