Semiclassical spectral series for the two-component Hartree-type equation

DOI10.1007/S11182-011-9664-6zbMath1257.81028OpenAlexW2033314126MaRDI QIDQ1762255

E. I. Smirnova, A. Yu. Trifonov, Vladimir V. Belov

Publication date: 23 November 2012

Published in: Russian Physics Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11182-011-9664-6

zbMATH Keywords

nonlinear equationssemiclassical spectral seriesMaslov's complex germ theory

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20)

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Cites Work

• Formalism of semiclassical asymptotics for a two-component Hartree-type equation
• Local limit theorems for functionals of the supremum type in the lattice case
• Semiclassical trajectory-coherent approximation in quantum mechanics. I: High-order corrections to multidimensional time-dependent equations of Schrödinger type
• The trajectory-coherent approximation and the system of moments for the Hartree type equation
• Quantum dynamics in a thin film. II: Stationary states
• Bell Inequalities for Entangled Pairs of Neutral Kaons
• VORTICES IN MULTICOMPONENT BOSE–EINSTEIN CONDENSATES
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