UID:
almafu_9960944210102883
Umfang:
1 online resource (112 pages) :
,
digital, PDF file(s).
Ausgabe:
First edition.
ISBN:
9781009049948
,
1009049941
,
9781009050142
,
1009050141
,
9781009043557
,
1009043552
Serie:
Elements in the Philosophy of Physics
Inhalt:
This Element provides an entry point for philosophical engagement with quantization and the classical limit. It introduces the mathematical tools of C*-algebras as they are used to compare classical and quantum physics. It then employs those tools to investigate philosophical issues surrounding theory change in physics. It discusses examples in which quantization bears on the topics of reduction, structural continuity, analogical reasoning, and theory construction. In doing so, it demonstrates that the precise mathematical tools of algebraic quantum theory can aid philosophers of science and philosophers of physics.
Anmerkung:
Title from publisher's bibliographic system (viewed on 16 Dec 2022).
,
Cover -- Title page -- Copyright page -- The Classical-Quantum Correspondence -- Contents -- 1 Introduction -- 1.1 Motivations -- 1.2 History -- 1.3 Required Background -- 1.4 Outline -- 2 C*-Algebras of Physical Quantities -- 2.1 Basic Theory of C*-Algebras -- 2.2 States -- 2.3 Representations -- 2.4 Compendium: Examples of C*-Algebras -- 3 Quantization and the Classical Limit -- 3.1 Strict Deformation Quantization -- 3.2 Compendium: Examples of Strict Quantizations -- 3.3 Other Approaches to Quantization -- 3.3.1 Mackey's Systems of Imprimitivity -- 3.3.2 Segal's Field Quantization -- 3.3.3 Formal Deformation Quantization -- 4 Intertheoretic Reduction -- 4.1 Empirical vs. Theoretical Reduction -- 4.2 Singularities -- 4.3 Approximation -- 5 Interpretation -- 5.1 Structural Continuity -- 5.2 Analogies -- 5.2.1 Regularity -- 5.2.2 Inequivalent Particle Concepts -- 6 Theory Construction -- 6.1 Heuristics for the Choice of Algebra -- 6.1.1 Regularity Revisited -- 6.1.2 Symmetry Invariance -- 6.2 Do We Need Quantization at All? -- 7 Conclusion -- List of Symbols -- References -- Acknowledgments.
Weitere Ausg.:
ISBN 9781009044318
Sprache:
Englisch
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