Hamiltonian systems inspired by the Schrödinger equation

DOI10.3842/SIGMA.2008.046zbMath1192.81131arXiv0805.4024OpenAlexW2145668331MaRDI QIDQ935725

Vasyl Kovalchuk, Jan Jerzy Sławianowski

Publication date: 8 August 2008

Published in: SIGMA. Symmetry, Integrability and Geometry: Methods and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0805.4024

zbMATH Keywords

conservation lawsSchrödinger equation\(GL(n\(n\)-level quantum systemsC)\)-invarianceessential non-perturbative nonlinearityHamiltonian systems on manifolds of scalar productsscalar product as a dynamical variable

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05)

Related Items (4)

Boundary-value problems for the evolutionary Schrödinger equation. I ⋮ The analysis of Lagrangian and Hamiltonian properties of the classical relativistic electrodynamics models and their quantization ⋮ Quantization of systems with internal degrees of freedom in two-dimensional manifolds ⋮ Schrödinger and related equations as Hamiltonian systems, manifolds of second-order tensors and new ideas of nonlinearity in quantum mechanics

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