Continuity equation in nonlinear quantum mechanics and the Galilei relativity principle. (English) Zbl 0967.81006
Summary: Classes of nonlinear Schrödinger-type equations compatible with the Galilei relativity principle are described. Solutions of these equations satisfy the continuity equation.
MSC:
| 81Q05 | Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics |
| 81Q99 | General mathematical topics and methods in quantum theory |
| 81R20 | Covariant wave equations in quantum theory, relativistic quantum mechanics |
| 35Q55 | NLS equations (nonlinear Schrödinger equations) |
References:
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