Effects of confinement for single-well potentials

DOI10.1063/1.4940699zbMath1332.81040arXiv1410.0068OpenAlexW2964127180MaRDI QIDQ2795591

Oran Gannot

Publication date: 21 March 2016

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

Full work available at URL: https://arxiv.org/abs/1410.0068

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20) Asymptotic expansions of solutions to ordinary differential equations (34E05)

Cites Work

• Self-adjoint extensions of Coulomb systems in 1, 2 and 3 dimensions
• Semi-classical analysis for the Schrödinger operator and applications
• The Bessel differential equation and the Hankel transform
• ENCLOSED QUANTUM MECHANICAL SYSTEMS
• Multiple wells in the semi-classical limit I
• New asymptotics for the zeros of Whittaker's functions
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