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 |
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All Science Journal Classification (ASJC) codes
- Physics and Astronomy(all)
Cite this
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Nonlinear extension of quantum mechanics : Remarks and recent results. / Doebner, H. D.; Goldin, Gerald.
In: Institute of Physics Conference Series, Vol. 173, 01.12.2003, p. 539-543.Research output: Contribution to journal › Conference article
TY - JOUR
T1 - Nonlinear extension of quantum mechanics
T2 - Remarks and recent results
AU - Doebner, H. D.
AU - Goldin, Gerald
PY - 2003/12/1
Y1 - 2003/12/1
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=4944227721&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=4944227721&partnerID=8YFLogxK
M3 - Conference article
AN - SCOPUS:4944227721
VL - 173
SP - 539
EP - 543
JO - Institute of Physics Conference Series
JF - Institute of Physics Conference Series
SN - 0951-3248
ER -