Philosophic Foundations of Quantum Mechanics

Philosophic Foundations of Quantum Mechanics

by Hans Reichenbach
Philosophic Foundations of Quantum Mechanics

Philosophic Foundations of Quantum Mechanics

by Hans Reichenbach

eBook

$9.99  $10.95 Save 9% Current price is $9.99, Original price is $10.95. You Save 9%.

Available on Compatible NOOK Devices and the free NOOK Apps.
WANT A NOOK?  Explore Now

Related collections and offers

LEND ME® See Details

Overview

Physics concerns direct analysis of the physical world, while philosophy analyzes knowledge about the physical world. This volume combines both disciplines for a philosophical interpretation of quantum physics — an interpretation free from the imprecision of metaphysics, offering a view of the atomic world and its quantum mechanical results as concrete as the visible everyday world.
Written by an internationally renowned philosopher who specialized in symbolic logic and the theory of relativity, this approach consists of three parts. The first section, which requires no background in math or physics, reviews the basics of quantum mechanics, outlining their philosophical interpretation and summarizing their results. The second part, which presupposes a knowledge of calculus, outlines the mathematical methods of quantum mechanics; and the third part blends the philosophical ideas of the first part and the mathematical formulations of the second part to develop a variety of interpretations of quantum mechanics. The author presents in-depth discussions of each interpretation, constructing a conclusion in terms of three-valued logic that offers readers a satisfactory logical form of quantum mechanics.
Focusing on clarification of concepts rather than developing problem-solving skills, this volume will prove enlightening to students of mathematics, physics, and the other sciences.


Product Details

ISBN-13: 9780486150109
Publisher: Dover Publications
Publication date: 05/22/2012
Series: Dover Books on Physics
Sold by: Barnes & Noble
Format: eBook
Pages: 208
File size: 4 MB

Table of Contents

PART I: GENERAL CONSIDERATIONS
1. Causal laws and probability laws
2. The probability distributions
3. The principle of indeterminacy
4. The disturbance of the object by the observation
5. The determination of unobserved objects
6. Waves and corpuscles
7. Analysis of an interference experiment
8. Exhaustive and restrictive interpretations
PART II: OUTLINES OF THE MATHEMATICS OF QUANTUM MECHANICS
9. Expansion of a function in terms of an orthogonal set
10. Geometrical interpretation in the function space
11. Reversion and iteration of transformations.
12. Functions of several variables and the configuration space
13. Derivation of Schrödinger's equation from de Broglie's principle
14. "Operators, eigen-functions, and eigen-values of physical entities"
15. The commutation rule
16. Operator matrices
17. Determination of the Probability distributions
18. Time dependence of the ?-function
19. Transformation to other state functions
20. Observational determination of the ?-function
21. Mathematical theory of measurement
22. The rules of probability and the disturbance by the measurement
23. The nature of probabilities and of statistical assemblages in quantum mechanics
PART III: INTERPRETATIONS
24. Comparison of classical and quantum mechanical statistics
25. The corpuscle interpretation
26. The impossibility of a chain structure
27. The wave interpretation
28. Observational language and quantum mechanics
29. Interpretation by a restricted meaning
30. Interpretation through a three-valued logic
31. The rules of two-valued logic
32. The rules of three-valued logic
33. Suppression of causal anomalies through a three-valued logic
34. Indeterminacy in the object language
35. The limitation of measurability
36. Correlated systems
37. Conclusion
Index
From the B&N Reads Blog

Customer Reviews