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Geometric Phases in Physics
Abstract
During the last few years, considerable interest has been focused on the phase that waves accumulate when the equations governing the waves vary slowly. The recent flurry of activity was set off by a paper by Michael Berry, where it was found that the adiabatic evolution of energy eigenfunctions in quantum mechanics contains a phase of geometric origin (now known as 'Berry's phase') in addition to the usual dynamical phase derived from Schrödinger's equation. This observation, though basically elementary, seems to be quite profound. Phases with similar mathematical origins have been identified
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Citations
Cited by
Berry phase effects on electronic properties
Xiao, D., Chang, M.-C., & Niu, Q. (2010) · Reviews of Modern Physics · doi:10.1103/revmodphys.82.1959 · Cited by 5,277
Ultracold atomic gases in optical lattices: mimicking condensed matter physics and beyond
Lewenstein, M., Sanpera, A., Ahufinger, V., Damski, B., Sen(De), A., & Sen, U. (2007) · Advances in Physics · doi:10.1080/00018730701223200 · Cited by 2,104
“For instance, moving of a pseudo-hole around origin should induce a non-Abelian Berry “phase” described by a non-trivial matrix [580].”
BackgroundColloquium : Artificial gauge potentials for neutral atoms
Dalibard, J., Gerbier, F., Juzeliūnas, G., & Öhberg, P. (2011) · Reviews of Modern Physics · doi:10.1103/revmodphys.83.1523 · Cited by 2,033
Light-induced gauge fields for ultracold atoms
Goldman, N., Juzeliūnas, G., Öhberg, P., & Spielman, I. B. (2014) · Reports on Progress in Physics · doi:10.1088/0034-4885/77/12/126401 · Cited by 1,212
The Anomalous Hall Effect and Magnetic Monopoles in Momentum Space
Fang, Z., Nagaosa, N., Takahashi, K. S., Asamitsu, A., Mathieu, R., Ogasawara, T., Yamada, H., Kawasaki, M., Tokura, Y., & Terakura, K. (2003) · Science · doi:10.1126/science.1089408 · Cited by 1,043
Metadata
- Authors
- Wilczek, F., & Shapere, A.
- Venue
- Advanced Series in Mathematical Physics
- Publisher
- WORLD SCIENTIFIC
- Published
- 1989-07
- ISSN
- 2010-2801 (ISSN-L)
- DOI
- 10.1142/0613
- OpenAlex
- W1571300791
- Cited by
- 1,547
- References
- 0
- FWCI
- 10.13
- Type
- book
- Language
- en
- Open access
- closed
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