Simon, R and Kumar, N (1988) A note on the Berry phase for systems having one degree of freedom. In: Journal of Physics A: Mathematical and General, 21 (7). pp. 1725-1727.
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Official URL: http://iopscience.iop.org/0305-4470/21/7/033
Abstract
A one-dimensional arbitrary system with quantum Hamiltonian H(q, p) is shown to acquire the 'geometric' phase gamma (C)=(1/2) contour integral c(Podqo-qodpo) under adiabatic transport q to q+q+qo(t) and p to p+po(t) along a closed circuit C in the parameter space (qo(t), po(t)). The non-vanishing nature of this phase, despite only one degree of freedom (q), is due ultimately to the underlying non-Abelian Weyl group. A physical realisation in which this Berry phase results in a line spread is briefly discussed.
Item Type: | Editorials/Short Communications |
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Publication: | Journal of Physics A: Mathematical and General |
Publisher: | Institute of Physics |
Additional Information: | Copyright of this article belongs to Institute of Physics. |
Department/Centre: | Division of Physical & Mathematical Sciences > Physics |
Date Deposited: | 07 Sep 2010 05:55 |
Last Modified: | 19 Sep 2010 06:15 |
URI: | http://eprints.iisc.ac.in/id/eprint/31984 |
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