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SpringerBriefs in Physics

Quantum Physics, Fuzzy Sets and Logic

Steps Towards a Many-Valued Interpretation of Quantum Mechanics

Authors: Pykacz, Jarosław

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eBook 44,02 €
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  • ISBN 978-3-319-19384-7
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Softcover 57,19 €
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  • ISBN 978-3-319-19383-0
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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.

About the authors

Jarosław Pykacz, born 1952, studied physics and mathematics at the University of Gdańsk and received his PhD in theoretical physics in 1980. He was one of the founding fathers of the International Quantum Structures Association and served as its President in the years 2008 - 2010. He published about 50 papers on logico-philosophic foundations and application of fuzzy sets in quantum mechanics.

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)


Table of contents (9 chapters)

Table of contents (9 chapters)

Buy this book

eBook 44,02 €
price for Spain (gross)
  • ISBN 978-3-319-19384-7
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover 57,19 €
price for Spain (gross)
  • ISBN 978-3-319-19383-0
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
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Bibliographic Information

Bibliographic Information
Book Title
Quantum Physics, Fuzzy Sets and Logic
Book Subtitle
Steps Towards a Many-Valued Interpretation of Quantum Mechanics
Authors
Series Title
SpringerBriefs in Physics
Copyright
2015
Publisher
Springer International Publishing
Copyright Holder
The Author(s)
eBook ISBN
978-3-319-19384-7
DOI
10.1007/978-3-319-19384-7
Softcover ISBN
978-3-319-19383-0
Series ISSN
2191-5423
Edition Number
1
Number of Pages
VI, 70
Topics