Sadun, Lorenzo and Segert, Jan (1989) Chern numbers for fermionic quadrupole systems. Journal of Physics A: Mathematical and General, 22 (4). L111-L115. ISSN 0305-4470. doi:10.1088/0305-4470/22/4/001. https://resolver.caltech.edu/CaltechAUTHORS:SADjpa89
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Abstract
The authors analyse families of quantum quadrupole Hamiltonians H= Sigma alpha beta Qalpha beta Jalpha Jbeta for half-odd-integer spin, and calculate the second Chern numbers of the energy levels. Each non-zero integer occurs only a finite number of times. The adiabatic time evolution, the non-Abelian generalisation of Berry's phase, is different for each system, in contrast to Berry's example. The j=3/2 and j=1/2 cases previously analysed are the only ones with self-dual curvatures and SO(5) symmetry.
| Item Type: | Article | ||||||
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| Additional Information: | © 1989 IOP Publishing Ltd. Received 18 October 1988. We thank Joseph Avron, Barry Simon and Peter Weichman. The research of JS was partially supported by NSF grant DMS-8801918. | ||||||
| Issue or Number: | 4 | ||||||
| DOI: | 10.1088/0305-4470/22/4/001 | ||||||
| Record Number: | CaltechAUTHORS:SADjpa89 | ||||||
| Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:SADjpa89 | ||||||
| Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | ||||||
| ID Code: | 10118 | ||||||
| Collection: | CaltechAUTHORS | ||||||
| Deposited By: | Archive Administrator | ||||||
| Deposited On: | 14 Apr 2008 | ||||||
| Last Modified: | 08 Nov 2021 21:05 |
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