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) |
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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