Introd to the Math'l Structure (2e)(V28)
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Book Overview The second printing contains a critical discussion of Dirac derivation of canonical quantization, which is instead deduced from general g...
The second printing contains a critical discussion of Dirac derivation of canonical quantization, which is instead deduced from general geometric structures. This book arises out of the need for Quantum Mechanics (QM) to be part of the common education of mathematics students. The mathematical structure of QM is formulated in terms of the C*-algebra of observables, which is argued on the basis of the operational definition of measurements and the duality between states and observables, for a general physical system.
The Dirac-von Neumann axioms are then derived. The description of states and observables as Hilbert space vectors and operators follows from the GNS and Gelfand-Naimark Theorems. The experimental existence of complementary observables for atomic systems is shown to imply the noncommutativity of the observable algebra, the distinctive feature of QM; for finite degrees of freedom, the Weyl algebra codifies the experimental complementarity of position and momentum (Heisenberg commutation relations) and Schr
Book Details Format: Hardcover | Pages: 180 | Language: English | Publisher: WORLD SCIENTIFIC PUB CO INC | ISBN: 9812835229
FormatHardcover
Pages180
LanguageEnglish
ISBN9812835229
EAN9789812835222
PublisherWORLD SCIENTIFIC PUB CO INC
Publication Date1970-01-01
Edition2
AccessoriesNo Accessory
ConditionNew
Product TypeHARD COVER BOOKS
Weight1.05 Pounds
Length9.1 Inches
Width6.1 Inches
Height0.7 Inches
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