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Intermediate Spectral Theory and Quantum Dynamics
Cesar R. de Oliveira
€ 126.54
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Description for Intermediate Spectral Theory and Quantum Dynamics
Hardback. The spectral theory of linear operators plays a key role in the mathematical formulation of quantum theory. This textbook provides a concise and comprehensible introduction to the spectral theory of (unbounded) self-adjoint operators and its application in quantum dynamics. Many examples and exercises are included that focus on quantum mechanics. Series: Progress in Mathematical Physics. Num Pages: 423 pages, biography. BIC Classification: PDE; PHQ. Category: (P) Professional & Vocational. Dimension: 234 x 156 x 23. Weight in Grams: 844.
The spectral theory of linear operators in Hilbert spaces is the most important tool in the mathematical formulation of quantum mechanics; in fact, linear ope- tors and quantum mechanics have had a symbiotic relationship. However, typical physicstextbooks on quantum mechanics givejust a roughsketch of operator t- ory,occasionallytreating linear operatorsas matricesin ?nite-dimensional spaces; the implicit justi?cation is that the details of the theory of unbounded operators are involved and those texts are most interested in applications. Further, it is also assumed that mathematical intricacies do not show up in the models to be d- cussedorareskippedby"heuristicarguments. "Inmanyoccasionssomequestions, such as the very de?nition ... Read more
The spectral theory of linear operators in Hilbert spaces is the most important tool in the mathematical formulation of quantum mechanics; in fact, linear ope- tors and quantum mechanics have had a symbiotic relationship. However, typical physicstextbooks on quantum mechanics givejust a roughsketch of operator t- ory,occasionallytreating linear operatorsas matricesin ?nite-dimensional spaces; the implicit justi?cation is that the details of the theory of unbounded operators are involved and those texts are most interested in applications. Further, it is also assumed that mathematical intricacies do not show up in the models to be d- cussedorareskippedby"heuristicarguments. "Inmanyoccasionssomequestions, such as the very de?nition ... Read more
Product Details
Format
Hardback
Publication date
2008
Publisher
Birkhauser Verlag AG Switzerland
Number of pages
423
Condition
New
Series
Progress in Mathematical Physics
Number of Pages
410
Place of Publication
Basel, Switzerland
ISBN
9783764387945
SKU
V9783764387945
Shipping Time
Usually ships in 15 to 20 working days
Ref
99-15
Reviews for Intermediate Spectral Theory and Quantum Dynamics
From the reviews: “The aim of Intermediate Spectral Theory and Quantum Dynamics is to provide advanced undergraduate and graduate students with this understanding of the mathematical intricacies of non-relativistic quantum mechanics of a single particle. … a concise introduction to the spectral theory of unbounded operators … . ends with a comprehensive bibliography which contains references to the original ... Read more