THE DIFFEOMORPHISM GROUP APPROACH TO NONLINEAR QUANTUM SYSTEMS

DOI10.1142/S0217979292000931zbMath0806.58007OpenAlexW2066871339MaRDI QIDQ4299760

Gerald A. Goldin

Publication date: 16 February 1995

Published in: International Journal of Modern Physics B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0217979292000931

zbMATH Keywords

nonlinear Schrödinger equationdissipative quantum mechanicsideal, incompressible fluidsquantum vortex configurations

Mathematics Subject Classification ID

Vortex flows for incompressible inviscid fluids (76B47) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) NLS equations (nonlinear Schrödinger equations) (35Q55) Groups of diffeomorphisms and homeomorphisms as manifolds (58D05) Geometric quantization (53D50)

Related Items (4)

On linearity of separating multiparticle differential Schrödinger operators for identical particles ⋮ Infinite-dimensional Lie groups and algebras in mathematical physics ⋮ Nonlinear Schrödinger equations and the separation property ⋮ Gauge equivalence among quantum nonlinear many body systems

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