Physics – Quantum Physics
Scientific paper
2007-10-29
Phys.Rev.D77:045006,2008
Physics
Quantum Physics
16 pages
Scientific paper
10.1103/PhysRevD.77.045006
Recently there have been some controversies about the criterion of the adiabatic approximation. It is shown that an approximate diagonalization of the effective Hamiltonian in the second quantized formulation gives rise to a reliable and unambiguous criterion of the adiabatic approximation. This is illustrated for the model of Marzlin and Sanders and a model related to the geometric phase which can be exactly diagonalized in the present sense.
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