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

Abstract

A system of metastable plus unstable states is discussed. The mass matrix governing the time development of the system is supposed to vary slowly with time. The adiabatic limit for this case is studied and it is shown that only the metastable states obtain the analogs of the dynamical and geometrical phase factors familiar from stable states. Abelian and non-abelian geometric phase factors for metastable states are defined.

30 pages

References in corpus (4)

• Measurement of the 6S-7S transition polarizablility in atomic cesium and an improved test of the standard model
• Atomic Parity Violation : Principles, Recent Results, Present Motivations
• Polarization Rotation Effects due to Parity Violation in Atoms
• Metastable states, the adiabatic theorem and parity violating geometric phases II

Cited by in corpus (7)

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• Longitudinal Atomic Beam Spin Echo Experiments: A possible way to study Parity Violation in Hydrogen
• Metastable states of hydrogen: their geometric phases and flux densities
• Berry's Phases for Arbitrary Spins Non-Linearly Coupled to External Fields. Application to the Entanglement of N > 2 Non-Correlated One-Half Spins
• Geometric phases causing lifetime modifications of metastable states of hydrogen