Abstract
We discuss the problem of extending the framework of quantum mechanics so that observables are represented by nonlinear operators in a Hilbert space or manifold. Our motivation includes the derivation of certain nonlinear Schrödinger equations from diffeomorphism group representations. In this context we review some groups of nonlinear gauge transformations.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 539-543 |
| Number of pages | 5 |
| Journal | Institute of Physics Conference Series |
| Volume | 173 |
| State | Published - Dec 1 2003 |
| Event | Group 24 Physical and Mathematical Aspects of Symmetries - Proceedings of the Twenty-Fourth International Colloquium on Group Theoretical Methods in Physics - Paris, France Duration: Jul 15 2002 → Jul 20 2002 |
All Science Journal Classification (ASJC) codes
- Physics and Astronomy(all)
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Doebner, H. D., & Goldin, G. (2003). Nonlinear extension of quantum mechanics: Remarks and recent results. Institute of Physics Conference Series, 173, 539-543.