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An adiabatic theorem for resonances
Author(s) -
Elgart Alexander,
Hagedorn George A.
Publication year - 2011
Publication title -
communications on pure and applied mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 3.12
H-Index - 115
eISSN - 1097-0312
pISSN - 0010-3640
DOI - 10.1002/cpa.20369
Subject(s) - adiabatic process , adiabatic theorem , mathematics , no go theorem , bound state , quantum no deleting theorem , extension (predicate logic) , state (computer science) , quantum , upper and lower bounds , pure mathematics , quantum mechanics , fundamental theorem , mathematical analysis , physics , computer science , fixed point theorem , algorithm , programming language
We prove a robust extension of the quantum adiabatic theorem. The theorem applies to systems that have resonances instead of bound states and to systems for which just an approximation to a bound state is known. To demonstrate the theorem's usefulness in a concrete situation, we apply it to shape resonances. © 2011 Wiley Periodicals, Inc.