Nonlinear extension of quantum mechanics: Remarks and recent results

H. D. Doebner, Gerald Goldin

Research output: Contribution to journalConference article


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 languageEnglish (US)
Pages (from-to)539-543
Number of pages5
JournalInstitute of Physics Conference Series
StatePublished - Dec 1 2003
EventGroup 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 2002Jul 20 2002

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)

Fingerprint Dive into the research topics of 'Nonlinear extension of quantum mechanics: Remarks and recent results'. Together they form a unique fingerprint.

  • Cite this