Teschl offers a brief and rather self-contained introduction to the mathematical methods of quantum mechanics with a view to their applications to Schrödinger operators. The applications are highly selective, he warns, and he neglects many important and interesting aspects. His approach is built around the spectral theorem to he gets to it as quickly as possible, going straight for the unbounded case rather than taking the scenic route over bounded operators. His topics include Hilbert spaces, applications of the spectral theorem, quantum dynamics, the free Schrödinger operators, one-particle Schrödinger operators, and scattering theory. Annotation ©2015 Ringgold, Inc., Portland, OR (protoview.com)
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Gerald Teschl, University of Vienna, Austria.
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