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Quantum Physics, Fuzzy Sets and Logic de Jaros¿aw Pykacz

Quantum Physics, Fuzzy Sets and Logic: SpringerBriefs in Physics

Autor Jaros¿aw Pykacz
en Limba Engleză Paperback – 30 iun 2015
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.
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Specificații

ISBN-13: 9783319193830
ISBN-10: 331919383X
Pagini: 76
Ilustrații: VI, 70 p.
Dimensiuni: 155 x 235 x 5 mm
Greutate: 0.13 kg
Ediția:2015
Editura: Springer
Colecția SpringerBriefs in Physics
Seria SpringerBriefs in Physics

Locul publicării:Cham, Switzerland

Public țintă

Research

Cuprins

Introduction.- A brief survey of main interpretations of quantum mechanics.- A brief survey of many-valued logics.- Fuzzy sets and many-valued logics.- Many-valued logics in quantum mechanics.- Birkhoff–von Neumann quantum logic.- Birkhoff–von Neumann quantum logic as infinite-valued Łukasiewicz logic.- Perspectives.- The many-valued interpretation of quantum mechanics.

Recenzii

“The book summarizes decades of search of an adequateformulation of quantum mechanics using fuzzy set tools. … The book is very easyto read; a feature rarely encountered in this field. The historical overview israther detailed, the author found some forgotten sources and put them incontext which is of separate interest. … it is a good deal of advancedmathematical work which summarizes experience from one epoch of research.” (MirkoNavara, zbMATH 1328.81020, 2016)

Notă biografică

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.

Textul de pe ultima copertă

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.