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Franco Strocchi Introduction To The Mathematical Structur (Hardback) (UK IMPORT)
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eBay item number:276267439385
Item specifics
- Condition
- Brand New: A new, unread, unused book in perfect condition with no missing or damaged pages. See all condition definitionsopens in a new window or tab
- Book Title
- Introduction to the Mathematical Structure of Quantum Mechanics : a Short Course for Mathematicians
- Publication Name
- Introduction To The Mathematical Structure Of Quantum Mechanics,
- Title
- Introduction To The Mathematical Structure Of Quantum Mechanics,
- Format
- Hardcover
- EAN
- 9789812564313
- ISBN
- 9789812564313
- Publisher
- World Industries Scientific Publishing Co Pte LTD
- Genre
- Science
- Release Date
- 21/11/2005
- Release Year
- 2005
- Language
- English
- Country/Region of Manufacture
- SG
- Series
- Advanced Series In Mathematical Physics
- Item Length
- 9.2in
- Publication Year
- 2005
- Item Height
- 0.6in
- Topic
- Physics / Quantum Theory, Physics / Mathematical & Computational
- Item Width
- 3.4in
- Item Weight
- 14.3 Oz
- Number of Pages
- 146 Pages
About this product
Product Information
This book arises out of the need for Quantum Mechanics (QM) to be part of the common education of mathematics students. Rather than starting from the Dirac-Von Neumann axioms, the book offers a short presentation of the mathematical structure of QM using the C--algebraic structure of the observable based on the operational definition of measurements and the duality between states and observables. The description of states and observables as Hilbert space vectors and operators is then derived from the GNS and Gelfand-Naimark Theorems.For finite degrees of freedom, the Weyl algebra codifies the experimental limitations on the measurements of position and momentum (Heisenberg uncertainty relations) and Schroedinger QM follows from the von Neumann uniqueness theorem.The existence problem of the dynamics is related to the self-adjointness of the differential operator describing the Hamiltonian and solved by the Rellich-Kato theorems. Examples are discussed which include the explanation of the discreteness of the atomic spectra.Because of the increasing interest in the relation between QM and stochastic processes, a final chapter is devoted to the functional integral approach (Feynman-Kac formula), the formulation in terms of ground state correlations (Wightman functions) and their analytic continuation to imaginary time (Euclidean QM). The quantum particle on a circle as an example of the interplay between topology and functional integral is also discussed in detail.
Product Identifiers
Publisher
World Industries Scientific Publishing Co Pte LTD
ISBN-10
9812564314
ISBN-13
9789812564313
eBay Product ID (ePID)
47959150
Product Key Features
Book Title
Introduction to the Mathematical Structure of Quantum Mechanics : a Short Course for Mathematicians
Format
Hardcover
Language
English
Topic
Physics / Quantum Theory, Physics / Mathematical & Computational
Publication Year
2005
Genre
Science
Number of Pages
146 Pages
Dimensions
Item Length
9.2in
Item Height
0.6in
Item Width
3.4in
Item Weight
14.3 Oz
Additional Product Features
Lc Classification Number
Qc174.17.M35s77 2005
Reviews
looks like a 'tour de force', being able to cover such a large amount of difficult material in 140 pages, in a perfectly clear way ...
Copyright Date
2005
Target Audience
Trade
Lccn
2005-042407
Dewey Decimal
530.12
Series
Advanced Series in Mathematical Physics
Dewey Edition
22
Item description from the seller
Business seller information
Value Added Tax Number:
- GB 864 1548 11
Seller assumes all responsibility for this listing.
eBay item number:276267439385
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Item does not ship to United States
Item location:
GU14 0GT, United Kingdom
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