Nonlinear gauge transformation for a class of Schrödinger equations containing complex nonlinearities

DOI10.1016/S0034-4877(01)80014-8zbMath0984.81031arXivquant-ph/0209075OpenAlexW3101107347MaRDI QIDQ5942375

Antonio Maria Scarfone, Giorgio Kaniadakis

Publication date: 29 August 2001

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

Full work available at URL: https://arxiv.org/abs/quant-ph/0209075

zbMATH Keywords

Doebner-Goldin equationexclusion-inclusion principlelinearize the continuity equation

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)

Related Items (4)

Canonical quantization of classical systems with generalized entropies ⋮ Gauge equivalence among quantum nonlinear many body systems ⋮ Nonlinear transformation for a class of gauged Schrödinger equations with complex nonlinearities. ⋮ Cole-Hopf like transformation for a class of coupled nonlinear Schrödinger equations

Cites Work

• A Nonrelativistic Chiral Soliton in One Dimension
• Properties of nonlinear Schrodinger equations associated with diffeomorphism group representations
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