Continuity Equation in Nonlinear Quantum Mechanics and the Galilei Relativity Principle
Wilhelm I. Fushchych, Vyacheslav M. Boyko
TL;DR
This paper explores classes of nonlinear Schrödinger-type equations that adhere to the Galilei relativity principle, demonstrating that their solutions satisfy the continuity equation, thus extending the understanding of nonlinear quantum mechanics.
Contribution
It identifies and describes classes of nonlinear Schrödinger equations compatible with Galilei relativity, highlighting their adherence to the continuity equation.
Findings
Solutions satisfy the continuity equation
Equations are compatible with Galilei relativity
Extension of nonlinear quantum mechanics framework
Abstract
Classes of the nonlinear Schrodinger-type equations compatible with the Galilei relativity principle are described. Solutions of these equations satisfy the continuity equation.
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Taxonomy
TopicsMathematical and Theoretical Analysis