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Geometric phase within the complex quantum Hamilton-Jacobi formalism
Journal article   Peer reviewed

Geometric phase within the complex quantum Hamilton-Jacobi formalism

Chia-Chun Chou and Robert E. Wyatt
Physics Letters, Section A: General, Atomic and Solid State Physics, Vol.374(26), pp.2608-2613
07/06/2010

Abstract

Complex quantum trajectory Geometric phase Pólya vector field Quantum momentum function Riemann sheet
We derive a geometric phase using the quantum kinematic approach within the complex quantum Hamilton-Jacobi formalism. The single valuedness of the wave function implies that the geometric phase along an arbitrary path in the complex plane must be equal to an integer multiple of 2π. The nonzero geometric phase indicates that we travel along the path through the branch cut of the phase function from one Riemann sheet to another. © 2010 Elsevier B.V. All rights reserved.

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