Generalized quantum mechanics and nonlinear gauge transformations

Nattermann, Peter

Generalized quantum mechanics and nonlinear gauge transformations

Peter Nattermann
(
- Clausthal, Tech. U.
)

Mar, 1997

13 pages

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quant-ph/9703017 [quant-ph]

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Abstract: (arXiv)

Motivated by the problems of interpretation of a nonlinear evolution equation in quantum mechanics we discuss in this contribution the concept of nonlinear gauge transformations, that has recently been introduced in joint work with Doebner and Goldin, in the framework of Mielnik's Generalized Quantum Mechanics. Using these gauge transformations we construct linear quantum systems in a ``nonlinear disguise'', and a gauge generalization of these (in analogy to the minimal coupling of orthodox quantum mechanics) leads to a unification of Bialynicki-Birula--Mycielski and Doebner--Goldin evolution equations for the quantum system. The notion of nonlinear observables introduced by Lücke is finally discussed in the same framework.

Note:

13 pages, RevTeX, uses amsfonts and bbm; available as a preprint on http://www.pt.tu-clausthal.de/preprints/asi-tpa/004-97.ps.gz •
To appear in 'Symmetry in Science IX', ed. B. Gruber, Plenum Pub., New York 1997

References(31)

Figures(0)

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