Solving the quantum nonlinear Schrödinger equation with δ-type impurity

DOI10.1063/1.1842353zbMath1067.81023arXivmath-ph/0404047OpenAlexW3100932586WikidataQ61834239 ScholiaQ61834239MaRDI QIDQ3024310

Vincent Caudrelier, Mihail Mintchev, Eric Ragoucy

Publication date: 30 June 2005

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

Full work available at URL: https://arxiv.org/abs/math-ph/0404047

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) PDEs in connection with quantum mechanics (35Q40)

Related Items

EXACT RESULTS FOR THE ONE-DIMENSIONAL MANY-BODY PROBLEM WITH CONTACT INTERACTION: INCLUDING A TUNABLE IMPURITY ⋮ The non-linear Schrödinger equation with a periodic \(\delta\)-interaction ⋮ Stability of standing waves for NLS-log equation with \(\delta\)-interaction ⋮ On stability properties of the cubic-quintic Schrödinger equation with \(\delta\)-point interaction ⋮ NLS ground states on the half-line with point interactions ⋮ Nonlinear Schrödinger equation on the half-line without a conserved number of solitons ⋮ A multisymplectic approach to defects in integrable classical field theory ⋮ Stability of standing waves for logarithmic Schrodinger equation with attractive delta potential ⋮ Orbital stability of standing waves for the nonlinear Schrödinger equation with attractive delta potential and double power repulsive nonlinearity ⋮ Threshold scattering for the focusing NLS with a repulsive Dirac delta potential ⋮ Blow-up and scattering for the 1D NLS with point nonlinearity above the mass-energy threshold ⋮ Nonlinear dispersive equations: classical and new frameworks ⋮ On the inverse scattering method for integrable PDEs on a star graph ⋮ Stability properties of standing waves for NLS equations with the \(\delta^\prime\)-interaction

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