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Theoretical and Mathematical Physics

Adiabatic theorem in quantum field theory

Vladimir Nikolaevich Likhachev, Yu. S. Tyupkin, A. S. Shvart︠s︡

Published Jan 1, 1972• 7 citations
Publisher
DOI
10.1007/bf01035766

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Quantum adiabatic theorem(QAT)is one of the important principles in quantum theory.With the discovery of the inconsistency of the QAT in application,it has received much more attention from physicists and mathematicians.Based on a brief review about the recent researches on QAT,some discussions on this topic are introduced,including the concepts of uniformly slowly evolving,CPT-frame,PT-symmetric operator,quantum adiabatic evolution theorem,quantum adiabatic approximation theorem,and error estimation of adiabatic approximation.