The European Physical Journal D

, Volume 45, Issue 2, pp 211–227 | Cite as

Metastable states, the adiabatic theorem and parity violating geometric phases II

  • T. BergmannEmail author
  • T. Gasenzer
  • O. Nachtmann
Atomic Physics


We discuss and calculate parity conserving (PC) and parity violating (PV) geometric phases for the metastable 2S states of hydrogen and deuterium. The atoms are supposed to be subjected to slowly varying electric and magnetic fields which act as external parameters for the atoms. Geometric flux density fields are introduced which allow for an easy overview how to choose the paths in parameter space in order to obtain only PC or only PV geometric phases. The PV phases are calculated in the Standard Model of particle physics. Even if numerically they come out small they have interest of principle as a new manifestation of parity violation in atomic physics.


03.65.Vf Phases: geometric; dynamic or topological 11.30.Er Charge conjugation, parity, time reversal, and other discrete symmetries 31.70.Hq Time-dependent phenomena: excitation and relaxation processes, and reaction rates 32.80.Ys Weak-interaction effects in atoms 


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Supplementary material

d07184SOM.pdf (213 kb)
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Copyright information

© EDP Sciences/Società Italiana di Fisica/Springer-Verlag 2007

Authors and Affiliations

  1. 1.Institut für Theoretische Physik, Universität HeidelbergHeidelbergGermany

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