Generalized Gauge Invariants for Certain Nonlinear Schrödinger Equations
نویسنده
چکیده
In previous work, Doebner and I introduced a group of nonlinear gauge transformations for quantum mechanics, acting in a certain family of nonlinear Schrödinger equations. Here the idea for a further generalization is presented briefly. It makes possible the treatment of the logarithmic amplitude and the phase of the wave function on an equal footing, suggesting a more radical reinterpretation of these variables in linear and nonlinear quantum theory.
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