The Wentzel-Kramers-Brillouin approximation of semiclassical eigenvalues of the Zakharov–Shabat problem

DOI10.1063/1.4892589zbMath1295.81069arXiv1310.4145OpenAlexW3105275884MaRDI QIDQ3189971

Long Lee, Yeongjoh Kim, Gregory D. Lyng

Publication date: 12 September 2014

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

Full work available at URL: https://arxiv.org/abs/1310.4145

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) NLS equations (nonlinear Schrödinger equations) (35Q55) Groups and algebras in quantum theory and relations with integrable systems (81R12) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20) Nonselfadjoint operator theory in quantum theory including creation and destruction operators (81Q12)

Related Items (1)

Spectral parameter power series for Sturm-Liouville equations with a potential polynomially dependent on the spectral parameter and Zakharov-Shabat systems

Uses Software

• Mulprec

Cites Work

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