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Title: Note on the Berry phase for systems having one degree of freedom
Authors: Simon, R.
Kumar, N.
Issue Date: Apr-1988
Publisher: Institute of Physics
Citation: Journal of Physics A: Mathematical and General, 1984, Vol. 21, p1725
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.
Description: Restricted Access
ISSN: 1751-8113
1751-8121 (Online)
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Copyright: 1988 Institute of Physics
Appears in Collections:Research Papers (TP)

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