Mathematical Methods in Quantum Mechanics: With Applications to Schrodinger Operators (Graduate Studies in Mathematics, 157, Band 157) - Hardcover

Buch 131�von 190: Graduate Studies in Mathematics

Teschl, Gerald

9781470417048: Mathematical Methods in Quantum Mechanics: With Applications to Schrodinger Operators (Graduate Studies in Mathematics, 157, Band 157)

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ISBN 10: 1470417049 ISBN 13: 9781470417048

Verlag: American Mathematical Society, 2014

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Teschl offers a brief and rather self-contained introduction to the mathematical methods of quantum mechanics with a view to their applications to Schr�dinger 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 Schr�dinger operators, one-particle Schr�dinger 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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Verlag: American Mathematical Society
Erscheinungsdatum: 2014
Sprache: Englisch
ISBN 10: 1470417049
ISBN 13: 9781470417048
Einband: Gebundene Ausgabe
Auflage: 2
Anzahl der Seiten: 358
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Mathematical Methods in Quantum Mechanics: With Applications to Schrodinger Operators (eng)

Gerald Teschl

Verlag: American Mathematical Society, 2014

ISBN 10: 1470417049 ISBN 13: 9781470417048

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Mathematical Methods in Quantum Mechanics: With Applications to Schrodinger Operators

Gerald Teschl

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Zustand: New. Series: Graduate Studies in Mathematics. Num Pages: 356 pages. BIC Classification: PBW; PHQ; PHU. Category: (P) Professional & Vocational; (UP) Postgraduate, Research & Scholarly. Dimension: 261 x 182 x 23. Weight in Grams: 816. . 2014. 2nd Edition. Hardcover. . . . . Bestandsnummer des Verk�ufers V9781470417048

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Mathematical Methods in Quantum Mechanics With Applications to Schrodinger Operators

Teschl, Gerald

Verlag: Amer Mathematical Society, 2014

ISBN 10: 1470417049 ISBN 13: 9781470417048

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Hardcover. Zustand: Brand New. 2nd edition. 358 pages. 10.50x7.00x1.00 inches. In Stock. Bestandsnummer des Verk�ufers 1470417049

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Mathematical Methods in Quantum Mechanics

Gerald Teschl

Verlag: American Mathematical Society, US, 2014

ISBN 10: 1470417049 ISBN 13: 9781470417048

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Hardback. Zustand: New. Second Edition. Quantum mechanics and the theory of operators on Hilbert space have been deeply linked since their beginnings in the early twentieth century. States of a quantum system correspond to certain elements of the configuration space and observables correspond to certain operators on the space. This book is a brief, but self-contained, introduction to the mathematical methods of quantum mechanics, with a view towards applications to Schr�dinger operators.Part 1 of the book is a concise introduction to the spectral theory of unbounded operators. Only those topics that will be needed for later applications are covered. The spectral theorem is a central topic in this approach and is introduced at an early stage. Part 2 starts with the free Schr�dinger equation and computes the free resolvent and time evolution. Position, momentum, and angular momentum are discussed via algebraic methods. Various mathematical methods are developed, which are then used to compute the spectrum of the hydrogen atom. Further topics include the nondegeneracy of the ground state, spectra of atoms, and scattering theory.This book serves as a self-contained introduction to spectral theory of unbounded operators in Hilbert space with full proofs and minimal prerequisites: Only a solid knowledge of advanced calculus and a one-semester introduction to complex analysis are required. In particular, no functional analysis and no Lebesgue integration theory are assumed. It develops the mathematical tools necessary to prove some key results in nonrelativistic quantum mechanics.Mathematical Methods in Quantum Mechanics is intended for beginning graduate students in both mathematics and physics and provides a solid foundation for reading more advanced books and current research literature.This new edition has additions and improvements throughout the book to make the presentation more student friendly. Bestandsnummer des Verk�ufers LU-9781470417048

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