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 - 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
- General Physics and Astronomy