| Hilbert Space Operators in Quantum Physics 2008 Edition Contributor(s): Blank, Jirí (Author), Exner, Pavel (Author), Havlícek, Miloslav (Author) |
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ISBN: 1402088698 ISBN-13: 9781402088698 Publisher: Springer OUR PRICE: $151.99 Product Type: Hardcover - Other Formats Published: September 2008 Annotation: This course-tested book explains in detail the theory of linear Hilbert-space operators and their use in quantum physics. The central mathematical tool of the book is the spectral theory of self-adjoint operators; in order to make the exposition self-contained, selected topics of functional analysis are included. An introduction to the theory of operator sets and algebras is also presented. This mathematical material is then used for a systematic analysis of the operator structure of quantum theory. Logical building of the theory is discussed as well as its practical aspects, such as spectral properties of quantum mechanical Hamiltonians, scattering theory, and more. The second edition was extended by two new chapters devoted to properties of quantum waveguides and quantum graphs. The bibliography was amended by about 130 new items. |
| Additional Information |
| BISAC Categories: - Science | Physics - Mathematical & Computational - Science | Physics - Quantum Theory - Mathematics | Functional Analysis |
| Dewey: 530.12 |
| Series: Theoretical and Mathematical Physics |
| Physical Information: 1.5" H x 6.3" W x 9.3" (2.50 lbs) 664 pages |
| Descriptions, Reviews, Etc. |
| Publisher Description: Almost ?fteen years later, and there is little change in our motivation. Mathem- ical physics of quantum systems remains a lively subject of intrinsic interest with numerous applications, both actual and potential. Intheprefacetothe?rsteditionwehavedescribedtheoriginofthisbookrooted at the beginning in a course of lectures. With this fact in mind, we were naturally pleased to learn that the volume was used as a course text in many points of the world and we gladly accepted the o?er ofSpringer Verlag which inherited the rights from our original publisher, to consider preparation of a second edition. It was our ambition to bring the reader close to the places where real life dwells, and therefore this edition had to be more than a corrected printing. The ?eld is developing rapidly and since the ?rst edition various new subjects have appeared; as a couple of examples let us mention quantum computing or the major progress in theinvestigationofrandomSchr] odingeroperators.Thereare, however, goodsources intheliteraturewherethereadercanlearnabouttheseandothernewdevelopments. |