Propagation of Gaussian wave packets in thin periodic quantum waveguides with a nonlocal nonlinearity

DOI10.1007/s11232-008-0059-yzbMath1145.81351OpenAlexW1998327825MaRDI QIDQ946441

S. Yu. Dobrokhotov, R. V. Nekrasov, Jochen Brüning, Andrej I. Shafarevich

Publication date: 23 September 2008

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

Full work available at URL: https://doi.org/10.1007/s11232-008-0059-y

zbMATH Keywords

localizationthin tubeGaussian wave packetnonstationary Schrödinger equation with an integral nonlinearity

Mathematics Subject Classification ID

Quantum computation (81P68) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) NLS equations (nonlinear Schrödinger equations) (35Q55) Coherent states (81R30)

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Cites Work

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• Asymptotic solutions of nonrelativistic equations of quantum mechanics in curved nanotubes. I: Reduction to spatially one-dimensional equations
• Localized asymptotic solutions of the self-consistent field equation
• Semiclassical trajectory-coherent approximations of Hartree-type equations
• Semiclassical analysis of constrained quantum systems

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