2011 | OriginalPaper | Buchkapitel
Perturbation Theory: Feshbach-Schur Method
verfasst von : Stephen J. Gustafson, Israel Michael Sigal
Erschienen in: Mathematical Concepts of Quantum Mechanics
Verlag: Springer Berlin Heidelberg
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As we have seen, many basic questions of quantum dynamics can be reduced to finding and characterizing the spectrum of the appropriate Schrödinger operator. Though this task, known as
spectral analysis
, is much simpler than the task of analyzing the dynamics directly, it is far from trivial. The problem can be greatly simplified if the Schrödinger operator
H
under consideration is close to an operator
H
0 whose spectrum we already know.