Simon, R. ; Kumar, N. (1988) A note on the Berry phase for systems having one degree of freedom Journal of Physics A: Mathematical and General, 21 (7). pp. 1725-1727. ISSN 0305-4470
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Official URL: http://iopscience.iop.org/0305-4470/21/7/033
Related URL: http://dx.doi.org/10.1088/0305-4470/21/7/033
Abstract
A one-dimensional arbitrary system with quantum Hamiltonian H(q, p) is shown to acquire the 'geometric' phase gamma (C)=(½) 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: | Article |
|---|---|
| Source: | Copyright of this article belongs to Institute of Physics. |
| ID Code: | 85115 |
| Deposited On: | 29 Feb 2012 13:38 |
| Last Modified: | 29 Feb 2012 13:38 |
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