UID:
almafu_9959235947902883
Format:
1 online resource (xxvi, 305 pages) :
,
digital, PDF file(s).
ISBN:
1-107-26615-7
,
1-107-26426-X
,
1-107-26675-0
,
1-107-26318-2
,
1-107-26982-2
,
1-107-34072-1
Series Statement:
Encyclopedia of mathematics and its applications v. 15
Content:
Originally published in 1981, this book forms volume 15 of the Encyclopedia of Mathematics and its Applications. The text provides a clear and thorough treatment of its subject, adhering to a clean exposition of the mathematical content of serious formulations of rational physical alternatives of quantum theory as elaborated in the influential works of the period, to which the authors made a significant contribution. The treatment falls into three distinct, logical parts: in the first part, the modern version of accumulated wisdom is presented, avoiding as far as possible the traditional language of classical physics for its interpretational character; in the second part, the individual structural elements for the logical content of the theory are laid out; in part three, the results of section two are used to reconstruct the usual Hilbert space formulation of quantum mechanics in a novel way.
Note:
Imprint and ISBN from label on t.p. verso. Imprint on t.p.: Reading, Mass. : Addison-Wesley, Advanced Book Program, 1981.
,
Publication taken over by Cambridge University Press in 1984 with a new copyright date.
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Cover; Half Title; Series Page; Title; Copyright; Dedication; Contents; Editor's Statement; Foreword; PREFACE; PART I Hilbert-Space Quantum Mechanics; CHAPTER 1 Static Description of Quantum Systems; 1.1 The Hilbert-Space Description; 1.2 Probability Distribution of a Physical Quantity; CHAPTER 2 States; 2.1 Pure and Nonpure States; 2.2 Superpositions of Pure States; 2.3 Nonunique Decomposability of Quantum Mixtures; 2.4 Mixtures and Preparation Procedures; 2.5 Transition Probabilities between Pure States; Exercises; Reference; CHAPTER 3 Physical Quantities
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6.1 The Unitary Dynamical Group in Schrodinger's Picture6.2 Equation of Motion in Infinitesimal Form; 6.3 Heisenberg's Picture; 6.4 On the Dynamical Evolution in the Presence of Superselection Rules; Exercises; References; CHAPTER 7 Compound Systems; 7.1 Composition of Different and of Identical Systems; 7.1.1 Composition of Nonidentical Subsystems; 7.1.2 Composition of Identical Subsystems; 7.2 States of Compound and Component Systems; 7.3 On Correlations between Subsystems; 7.4 An Example, the E.P.R. Problem; 7.5 On the Time Evolution of Subsystems
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7.6 Superselection Rules and Compound SystemsExercises; References; CHAPTER 8 Elementary Analysis of the Measurement Process; 8.1 Measuring Instruments; Idealizations; Projection Postulate; 8.2 States of the Measured System and of the Measuring Instrument; 8.3 A Consistency Problem; 8.4 Schrodinger's Cat; Exercises; References; CHAPTER 9 Mathematical Structures Emerging from the Hilbert-Space Formulation of Quantum Mechanics; 9.1 The Ordered Structure of Projectors; 9.2 The Closure-Space Structure of Pure States; 9.3 The Transition-Probability Structure of Pure States
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9.4 The Convex Structure of States
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English
Additional Edition:
ISBN 0-521-16849-X
Additional Edition:
ISBN 0-521-30235-8
Language:
English
URL:
https://doi.org/10.1017/CBO9781107340725
