Adiabatic approximation in the second quantized formulation
Quantum Physics
2008-11-26 v1
Abstract
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.
Cite
@article{arxiv.0710.5341,
title = {Adiabatic approximation in the second quantized formulation},
author = {Kazuo Fujikawa},
journal= {arXiv preprint arXiv:0710.5341},
year = {2008}
}
Comments
16 pages