Başlık:
Quantum Physics, Fuzzy Sets and Logic Steps Towards a Many-Valued Interpretation of Quantum Mechanics
Yazar:
Pykacz, Jarosław. author.
ISBN:
9783319193847
Ek Yazar:
Fiziksel Tanım:
VI, 70 p. online resource.
Series:
SpringerBriefs in Physics,
Contents:
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.
Abstract:
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.
Added Corporate Author:
Electronic Access:
http://dx.doi.org/10.1007/978-3-319-19384-7