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Author Moskalyuk, S. S.
Source United States Department of Energy Office of Scientific and Technical Information
Content type Text
Language English
Subject Keyword PHYSICS OF ELEMENTARY PARTICLES AND FIELDS ♦ CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS ♦ SCHROEDINGER EQUATION ♦ INVARIANCE PRINCIPLES ♦ THREE-DIMENSIONAL CALCULATIONS ♦ GALILEI TRANSFORMATIONS ♦ GROUP THEORY ♦ MATHEMATICAL SPACE ♦ NONLINEAR PROBLEMS ♦ PARTICLE MODELS ♦ SPACE-TIME ♦ SYMMETRY BREAKING ♦ SYMMETRY GROUPS ♦ DIFFERENTIAL EQUATIONS ♦ EQUATIONS ♦ MATHEMATICAL MODELS ♦ MATHEMATICS ♦ PARTIAL DIFFERENTIAL EQUATIONS ♦ SPACE ♦ TRANSFORMATIONS ♦ WAVE EQUATIONS 645300* -- High Energy Physics-- Particle Invariance Principles & Symmetries ♦ Theoretical & Mathematical PhysicsClassical & Quantum Mechanics
Abstract Interactions that break the symmetry of systems of nonrelativistic Schroedinger equations but preserve their symmetry with respect to one-parameter subgroups of the Schroedinger group are described. Ansatzes for invariant solutions and the corresponding systems of reduced equations in invariant variables for Galileo-invariant Schroedinger equations are found. Exact solutions for the system of nonlinear Schroedinger equations in three-dimensional space for the generalized Hubbard model are obtained.
Educational Use Research
Learning Resource Type Article
Publisher Date 1988-02-01
Publisher Place United States
Journal Theor. Math. Phys.
Volume Number 72
Issue Number 2


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