Quantum physics, fuzzy sets and logi...
Pykacz, Jaroslaw.

 

  • Quantum physics, fuzzy sets and logic[electronic resource] :steps towards a many-valued interpretation of quantum mechanics /
  • 紀錄類型: 書目-語言資料,印刷品 : Monograph/item
    杜威分類號: 530.120151
    書名/作者: Quantum physics, fuzzy sets and logic : steps towards a many-valued interpretation of quantum mechanics // by Jaroslaw Pykacz.
    作者: Pykacz, Jaroslaw.
    出版者: Cham : : Springer International Publishing :, 2015.
    面頁冊數: vi, 70 p. : : ill., digital ;; 24 cm.
    Contained By: Springer eBooks
    標題: Quantum theory - Mathematics.
    標題: Many-valued logic.
    標題: Fuzzy sets.
    標題: Fuzzy logic.
    標題: Physics.
    標題: Quantum Physics.
    標題: Mathematical Logic and Foundations.
    標題: Mathematical Logic and Formal Languages.
    標題: Mathematical Physics.
    ISBN: 9783319193847 (electronic bk.)
    ISBN: 9783319193830 (paper)
    內容註: 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 Lukasiewicz logic -- Perspectives -- The many-valued interpretation of quantum mechanics.
    摘要、提要註: 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.
    電子資源: http://dx.doi.org/10.1007/978-3-319-19384-7
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