The high energy semiclassical asymptotics of loci of roots of fundamental solutions for polynomial potentials

DOI10.1088/1751-8113/41/46/465202zbMath1152.81841arXiv0803.0332OpenAlexW1966495108MaRDI QIDQ3548406

Stefan Giller

Publication date: 12 December 2008

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

Full work available at URL: https://arxiv.org/abs/0803.0332

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20) Asymptotic distribution of eigenvalues, asymptotic theory of eigenfunctions for ordinary differential operators (34L20) Linear boundary value problems for ordinary differential equations (34B05) Stokes phenomena and connection problems (linear and nonlinear) for ordinary differential equations in the complex domain (34M40) Singular perturbation problems for ordinary differential equations in the complex domain (complex WKB, turning points, steepest descent) (34M60)

Related Items (1)

The semiclassical small-ℏ limit of loci of roots of subdominant solutions for polynomial potentials

This page was built for publication: The high energy semiclassical asymptotics of loci of roots of fundamental solutions for polynomial potentials