Overview
- Includes supplementary material: sn.pub/extras
Part of the book series: SpringerBriefs in Physics (SpringerBriefs in Physics)
Access this book
Tax calculation will be finalised at checkout
Other ways to access
Table of contents (9 chapters)
Keywords
About this book
This Brief presents steps towards elaborating a new interpretation of quantum mechanics based on a specific version of Łukasiewicz infinite-valued logic. It begins with a short survey of main interpretations of quantum mechanics already proposed, as well as various models of many-valued logics and previous attempts to apply them for the description of quantum phenomena. The prospective many-valued interpretation of quantum mechanics is soundly based on a theorem concerning the isomorphic representation of Birkhoff-von Neumann quantum logic in the form of a special Łukasiewicz infinite-valued logic endowed with partially defined conjunctions and disjunctions.
Reviews
“The book summarizes decades of search of an adequate formulation of quantum mechanics using fuzzy set tools. … The book is very easy to read; a feature rarely encountered in this field. The historical overview is rather detailed, the author found some forgotten sources and put them in context which is of separate interest. … it is a good deal of advanced mathematical work which summarizes experience from one epoch of research.” (Mirko Navara, zbMATH 1328.81020, 2016)
Authors and Affiliations
About the author
Bibliographic Information
Book Title: Quantum Physics, Fuzzy Sets and Logic
Book Subtitle: Steps Towards a Many-Valued Interpretation of Quantum Mechanics
Authors: Jarosław Pykacz
Series Title: SpringerBriefs in Physics
DOI: https://doi.org/10.1007/978-3-319-19384-7
Publisher: Springer Cham
eBook Packages: Physics and Astronomy, Physics and Astronomy (R0)
Copyright Information: The Author(s) 2015
Softcover ISBN: 978-3-319-19383-0Published: 30 June 2015
eBook ISBN: 978-3-319-19384-7Published: 20 June 2015
Series ISSN: 2191-5423
Series E-ISSN: 2191-5431
Edition Number: 1
Number of Pages: VI, 70
Topics: Quantum Physics, Mathematical Logic and Foundations, Mathematical Logic and Formal Languages, Mathematical Physics