Cole-Hopf-like transformation for Schrödinger equations containing complex nonlinearities

DOI10.1088/0305-4470/35/8/311zbMath1002.35114arXivquant-ph/0202032OpenAlexW3124173496WikidataQ62596878 ScholiaQ62596878MaRDI QIDQ4545284

Giorgio Kaniadakis, Antonio Maria Scarfone

Publication date: 15 August 2002

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

Full work available at URL: https://arxiv.org/abs/quant-ph/0202032

zbMATH Keywords

conservation lawscanonical systemssymmetriesnoncanonical nonlinear systems

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)

Canonical quantization of classical systems with generalized entropies ⋮ Gauge equivalence among quantum nonlinear many body systems ⋮ Stochastic quantization of an interacting classical particle system

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