Hamiltonian Systems Inspired by the Schrödinger Equation

Described is n-level quantum system realized in the n-dimensional ''Hilbert'' space H with the scalar product G taken as a dynamical variable. The most general Lagrangian for the wave function and G is considered. Equations of motion and conservation laws are obtained. Special ca...

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Bibliographic Details
Main Authors: Vasyl Kovalchuk, Jan Jerzy Slawianowski
Format: Article
Language:English
Published: National Academy of Science of Ukraine 2008-05-01
Series:Symmetry, Integrability and Geometry: Methods and Applications
Subjects:
Online Access:http://www.emis.de/journals/SIGMA/2008/046/