Generalized Quantum Mechanics and Nonlinear Gauge Transformations

Details Generalized Quantum Mechanics and Nonlinear Gauge Transformations Generalized Quantum Mechanics and Nonlinear Gauge Transformations

1997-03-12

arxiv.org/abs/quant-ph/9703017v1

Physics

Quantum Physics

13 pages, RevTeX, uses amsfonts and bbm; available as a preprint on http://www.pt.tu-clausthal.de/preprints/asi-tpa/004-97.ps.

Scientific paper

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 L\"ucke is finally discussed in the same framework.

Affiliated with

Also associated with

No associations

Rating

Generalized Quantum Mechanics and Nonlinear Gauge Transformations does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Generalized Quantum Mechanics and Nonlinear Gauge Transformations, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Generalized Quantum Mechanics and Nonlinear Gauge Transformations will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-436516