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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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|
|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|
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