Gauge equivalence among quantum nonlinear many body systems. (English) Zbl 1178.35350
The author considers a large class of U(1)-invariant NLS equation containing complex nonlinearities. By means of the nonlinear gauge transformation he changes the nonlinear system to another one containing only a purely Hermitian nonlinearity.
Reviewer: Igor Andrianov (Köln)
MSC:
| 35Q55 | NLS equations (nonlinear Schrödinger equations) |
| 37K05 | Hamiltonian structures, symmetries, variational principles, conservation laws (MSC2010) |
| 37K35 | Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems |
| 35A30 | Geometric theory, characteristics, transformations in context of PDEs |
| 35A15 | Variational methods applied to PDEs |
Keywords:
NLS equation; variational principle; symmetry; conservation law; nonlinear gauge transformationReferences:
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