Quantum Physics, Fuzzy Sets and Logic: Steps Towards a Many-Valued Interpretation of Quantum Mechanics - SpringerBriefs in Physics (Paperback)Jaroslaw Pykacz (author)
- We can order this
This Brief presents steps towards elaborating a new interpretation of quantum mechanics based on a specific version of Lukasiewicz 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 Lukasiewicz infinite-valued logic endowed with partially defined conjunctions and disjunctions.
Publisher: Springer International Publishing AG
Number of pages: 70
Weight: 1299 g
Dimensions: 235 x 155 x 4 mm
Edition: 2015 ed.
"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)
You may also be interested in...
Please sign in to write a review