Physical Review Letters · 1984 · 1.8K citations · 2 references
Natural SciencesPhysicsMathematical PhysicsQuantum MechanicsTheoretical PhysicsGauge InteractionsGauge TheoryHamiltonian DynamicsHamiltonian SystemsQuantum DynamicsQuantum Field TheoryAbelian Gauge TheoryAdiabatic DynamicsField Theoretic Hamiltonian SystemsGauge ConnectionsGauge Field TheoryGauge PotentialsNon-abelian Gauge TheoryQuantum Mechanical Model
Generalizing a construction of Berry and Simon, we show that non-Abelian gauge fields arise in the adiabatic development of simple quantum mechanical systems. Characteristics of the gauge fields are related to energy splittings, which may be observable in real systems. Similar phenomena are found for suitable classical systems.
2
Holonomy, the Quantum Adiabatic Theorem, and Berry's Phase
Barry Simon · Physical Review Letters · 1983 · 1.9K citations
On the Magnetic Field of a Rotating Molecule
G. C. Wick · Physical Review · 1948 · 145 citations
Natural Sciences, Chemistry, Physics +16