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Communications in Commun. Math. Phys. 110, 33-49 (1987) Mathematical
 

Summary: Communications in
Commun. Math. Phys. 110, 33-49 (1987) Mathematical
Physics
Springer-Verlag 1987
Adiabatic Theorems andApplications
to theQuantum Hall Effect
J. E. Avron1
, R. Seiler2
, and L. G. Yaffe3
1
Department ofPhysics, Technion, Haifa 32000, Israel
2
Fachbereich Mathematik, Technische Universitat, D-1000 Berlin12
3
Jadwin Hall, Princeton University, Princeton, NJ 08544, USA
Abstract. Westudy anadiabatic evolution that approximates the physical
dynamics and describes a natural parallel transport in spectral subspaces.
Using this we prove two folk theorems about the adiabatic limit of quantum
mechanics: 1. For slow time variation ofthe Hamiltonian,the time evolution
reduces to spectral subspaces bordered by gaps. 2. The eventual tunneling out

  

Source: Avron, Joseph - Physics Department, Technion, Israel Institute of Technology

 

Collections: Physics