Linear operators in Hilbert spaces play a fundamental role in the formulation of quantum theory. With complete proofs and numerous exercises, this book offers a self-contained presentation of the most important tools and methods from Hilbert space theory, with a particular focus on the spectral theory of self-adjoint operators. It also goes further by describing several applications in quantum mechanics, including the analysis of Schrödinger operators and quantum scattering theory. In addition, the book discusses Mourre’s conjugate operator method and its consequences for scattering theory. Based on a one-year course for advanced undergraduates, this text provides a fundamental treatment of the basic ideas of applied Hilbert space theory.
- ISBN10 1420066811
- ISBN13 9781420066814
- Publish Date 15 April 2021
- Publish Status Active
- Out of Print 10 October 2021
- Publish Country US
- Imprint Taylor & Francis Inc
- Format Hardcover
- Pages 350
- Language English