Some Aspects of Classical and Quantum Phases
Yakir Aharonov, Tirzah Kaufherr, Shmuel Nussinov
TL;DR
This paper explores classical and quantum phases within the adiabatic Born-Oppenheimer framework, discussing dual descriptions, a paradox related to scattering Berry phase, and various topological and geometrical phase phenomena.
Contribution
It introduces a new paradox related to scattering Berry phase and provides a comprehensive analysis of classical and quantum phases, including topological and non-abelian aspects.
Findings
Resolution of the scattering Berry phase paradox
Elaboration of topological and geometrical phases
Dual description of classical and quantum phases
Abstract
We study classical and quantum phases in the adiabatic Born-Oppenheimer context. These include a classical astronomical case, the general dual description of the phases, a new "Paradox" connected to scattering Berry phase and its resolution and various elaboration of topological/geometrical/non-abelian phases.
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