Nonlinear Time-Dependent One-Dimensional Schrödinger Equation with Double-Well Potential

DOI10.1137/S0036141002415438zbMath1061.35138arXivmath-ph/0212024OpenAlexW2041696736MaRDI QIDQ4652442

Andrea Sacchetti

Publication date: 28 February 2005

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math-ph/0212024

zbMATH Keywords

Gross-Pitaevskii equationnonlinear Schrödinger operatornorm estimate of solutions

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) NLS equations (nonlinear Schrödinger equations) (35Q55) PDEs in connection with quantum mechanics (35Q40)

Related Items (7)

Exponential times in the one-dimensional Gross-Pitaevskii equation with multiple well potential ⋮ A Galerkin projection and multiple scales approach to Feshbach resonance in Bose-Einstein condensates ⋮ The quantum beating and its numerical simulation ⋮ Two-component nonlinear Schrödinger models with a double-well potential ⋮ Josephson Tunneling of Excited States in a Double-Well Potential ⋮ Quantum optimal control using the adjoint method ⋮ Nonlinear double well Schrödinger equations in the semiclassical limit

This page was built for publication: Nonlinear Time-Dependent One-Dimensional Schrödinger Equation with Double-Well Potential