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Advanced Series in Mathematical Physics: An Introduction to the Mathematical Structure of Quantum Mechanics : A Short Course for Mathematicians by F. Strocchi (2005, Hardcover)

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item 1 Advanced Series in Mathematical Physics: An Introduction to the Mathematical St…
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item 2 Franco Strocchi Introduction To The Mathematical Structur (Hardback) (UK IMPORT)
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item 3 Introduction to the Mathematical Structure of Quantum Mechanics, An: A Short Cou
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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
Author
F. Strocchi
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

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Advanced Series in Mathematical Physics: An Introduction to the Mathematical Structure of Quantum Mechanics : A Short Course for Mathematicians by F. Strocchi (2005, Hardcover)

All listings for this product

item 1 Advanced Series in Mathematical Physics: An Introduction to the Mathematical St…

item 2 Franco Strocchi Introduction To The Mathematical Structur (Hardback) (UK IMPORT)

item 3 Introduction to the Mathematical Structure of Quantum Mechanics, An: A Short Cou

About this product

Product Information

Product Identifiers

Product Key Features

Dimensions

Additional Product Features

Best Selling in Books

Sick Fux by Tillie Cole (2017, Trade Paperback)

You Like It Darker : Stories by Stephen King (2024, Hardcover)

The Empyrean Ser.: Iron Flame by Rebecca Yarros (2023, Hardcover)

Forgiving What You Can't Forget : Discover How to Move on, Make Peace with Painful Memories, and Create a Life That's Beautiful Again by Lysa TerKeurst (2020, Hardcover)

Cry Baby Coloring Book by Melanie Martinez (2016, Trade Paperback)

The War on Warriors : Behind the Betrayal of the Men Who Keep Us Free by Pete Hegseth (2024, Hardcover)

KJV Giant Print Bible Two-Tone Brown/Pink Faux Leather by Christian Art Gifts Inc. (2021, Leather)

Save on Books

Sick Fux Paperback

Camino Ghosts : A Novel by John Grisham (2024, Hardcover) Camino Ser.:

THE BOOK OF ENOCH - Translated by R. H Charles (1917 Translation, Hardback)

Rebecca Yarros IRON FLAME Exclusive SIGNED 1st First Edition Hardcover New

HOLY BIBLE King James Version Large Print Thumb Indexed Tan Faux Leather NEW

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