Details
| Original language | English |
|---|---|
| Title of host publication | Proceedings of Nonlinear Dynamics of Electronic Systems, NDES 2012 |
| Publisher | Institute of Electrical and Electronics Engineers Inc. |
| Pages | 86-89 |
| Number of pages | 4 |
| ISBN (electronic) | 9783800734443 |
| Publication status | Published - 2012 |
| Event | Nonlinear Dynamics of Electronic Systems, NDES 2012 - Wolfenbuttel, Germany Duration: 11 Jul 2012 → 13 Jul 2012 |
Publication series
| Name | Proceedings of Nonlinear Dynamics of Electronic Systems, NDES 2012 |
|---|
Abstract
The possibility of nonlinear modifications of quantum mechanics is connected with a dichotomy for the interpretation of wave functions formulated by Einstein at the 1927 Solvay congress. Nonlinear extensions are excluded when quantum states as given by density matrices are understood as statistical ensembles, but they seem natural when wave functions are seen as mechanical variables for individual systems. The latter view was refuted by Einstein Podolsky and Rosen in 1935. So quantum mechanics is rigidly linear. Nevertheless nonlinear equations of exactly the kind suggested by the view of wave functions as mechanical variables reappear in mean field quantum dynamics. Examples include nonlinear dynamics on the Poincaré sphere, as well as Gross-Pitaevsky equations for Bose-Einstein condensates.
ASJC Scopus subject areas
- Engineering(all)
- Electrical and Electronic Engineering
- Physics and Astronomy(all)
- Atomic and Molecular Physics, and Optics
Cite this
- Standard
- Harvard
- Apa
- Vancouver
- BibTeX
- RIS
Proceedings of Nonlinear Dynamics of Electronic Systems, NDES 2012. Institute of Electrical and Electronics Engineers Inc., 2012. p. 86-89 6292858 (Proceedings of Nonlinear Dynamics of Electronic Systems, NDES 2012).
Research output: Chapter in book/report/conference proceeding › Conference contribution › Research › peer review
}
TY - GEN
T1 - Aspects of nonlinearity in quantum mechanics
AU - Werner, Reinhard F.
PY - 2012
Y1 - 2012
N2 - The possibility of nonlinear modifications of quantum mechanics is connected with a dichotomy for the interpretation of wave functions formulated by Einstein at the 1927 Solvay congress. Nonlinear extensions are excluded when quantum states as given by density matrices are understood as statistical ensembles, but they seem natural when wave functions are seen as mechanical variables for individual systems. The latter view was refuted by Einstein Podolsky and Rosen in 1935. So quantum mechanics is rigidly linear. Nevertheless nonlinear equations of exactly the kind suggested by the view of wave functions as mechanical variables reappear in mean field quantum dynamics. Examples include nonlinear dynamics on the Poincaré sphere, as well as Gross-Pitaevsky equations for Bose-Einstein condensates.
AB - The possibility of nonlinear modifications of quantum mechanics is connected with a dichotomy for the interpretation of wave functions formulated by Einstein at the 1927 Solvay congress. Nonlinear extensions are excluded when quantum states as given by density matrices are understood as statistical ensembles, but they seem natural when wave functions are seen as mechanical variables for individual systems. The latter view was refuted by Einstein Podolsky and Rosen in 1935. So quantum mechanics is rigidly linear. Nevertheless nonlinear equations of exactly the kind suggested by the view of wave functions as mechanical variables reappear in mean field quantum dynamics. Examples include nonlinear dynamics on the Poincaré sphere, as well as Gross-Pitaevsky equations for Bose-Einstein condensates.
UR - http://www.scopus.com/inward/record.url?scp=84980002656&partnerID=8YFLogxK
M3 - Conference contribution
AN - SCOPUS:84980002656
T3 - Proceedings of Nonlinear Dynamics of Electronic Systems, NDES 2012
SP - 86
EP - 89
BT - Proceedings of Nonlinear Dynamics of Electronic Systems, NDES 2012
PB - Institute of Electrical and Electronics Engineers Inc.
T2 - Nonlinear Dynamics of Electronic Systems, NDES 2012
Y2 - 11 July 2012 through 13 July 2012
ER -