Nonlinear transformation for a class of gauged Schrödinger equations with complex nonlinearities.

DOI10.1016/S0034-4877(01)80070-7zbMath1078.35114arXivquant-ph/0209130OpenAlexW3105446906WikidataQ62596883 ScholiaQ62596883MaRDI QIDQ696319

Antonio Maria Scarfone, Giorgio Kaniadakis

Publication date: 12 September 2002

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/quant-ph/0209130

zbMATH Keywords

nonlinear Schrödinger equationgauge Schrödinger equations

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Transform methods (e.g., integral transforms) applied to PDEs (35A22) NLS equations (nonlinear Schrödinger equations) (35Q55)

Related Items (3)

Gauge equivalence among quantum nonlinear many body systems ⋮ On the derivation and mathematical analysis of some quantum–mechanical models accounting for Fokker–Planck type dissipation: Phase space, Schrödinger and hydrodynamic descriptions ⋮ Cole-Hopf like transformation for a class of coupled nonlinear Schrödinger equations

Cites Work

• Unnamed Item
• Unnamed Item
• Milestones in mathematical physics Noether's theorem
• On integrable Doebner - Goldin equations
• Gauge transformations in quantum mechanics and the unification of nonlinear Schrödinger equations
• Properties of nonlinear Schrodinger equations associated with diffeomorphism group representations
• Nonlinear gauge transformation for a class of Schrödinger equations containing complex nonlinearities

This page was built for publication: Nonlinear transformation for a class of gauged Schrödinger equations with complex nonlinearities.