Classical-Quantum Correspondence

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.

List of contents

1. Introduction; 2. C*-algebras of physical quantities; 3. Quantization and the classical limit; 4. Intertheoretic reduction; 5. Interpretation; 6. Theory construction; 7. Conclusion.

Summary

This Element provides an entry point for philosophical engagement with quantization and the classical limit. It provides an introduction to the mathematical tools of C*-algebras as they are used to compare classical and quantum physics and employs those tools to investigate philosophical issues surrounding theory change in physics.

Foreword

This Element provides an entry point for philosophical engagement with quantization and the classical limit.

Product details

• Authors: Benjamin H. Feintzeig, Benjamin H. (University of Washington) Feintzeig
• Publisher: Cambridge University Press ELT
• Languages: English
• Product format: Paperback / Softback
• Released: 31.12.2022
• EAN: 9781009044318
• ISBN: 978-1-0-0904431-8
• No. of pages: 75
• Series: Elements in the Philosophy of Physics
• Subjects: Natural sciences, medicine, IT, technology > Natural sciences (general); SCIENCE / Philosophy & Social Aspects, Philosophy of Science