Continuity Equation in Nonlinear Quantum Mechanics and the Galilei Relativity Principle

2002/08/13 by Wilhelm I. Fushchych, Vyacheslav M. Boyko
Physics and Astronomy · Mathematics · #math-ph #math.MP #quant-ph #msc:35Q55 #msc:58J70 #msc:81Q05

paper · pdf

published as J. Nonlin. Math. Phys., 1997, V.4, N 1-2, 124-128 · 6 pages

arxiv created 2002/08/13 · arxiv updated 2009/11/30

Abstract

Classes of the nonlinear Schrodinger-type equations compatible with the Galilei relativity principle are described. Solutions of these equations satisfy the continuity equation.

Related

• The mathematical features of the continuity equation
• To the nonlinear quantum mechanics
• On the Construction of Relativistic Quantum Wave Equation and General Solution of the Second Order Differential Equation
• The Nonlinear Schrödinger Equation and Conservation Laws
• Nonlinear Schroedinger Dynamics and Nonlinear Observables