| 书目名称 | Quantum Logic | | 编辑 | Peter Mittelstaedt | | 视频video | | | 丛书名称 | Synthese Library | | 图书封面 |  | | 描述 | In 1936, G. Birkhoff and J. v. Neumann published an article with the title The logic of quantum mechanics‘. In this paper, the authors demonstrated that in quantum mechanics the most simple observables which correspond to yes-no propositions about a quantum physical system constitute an algebraic structure, the most important proper ties of which are given by an orthocomplemented and quasimodular lattice Lq. Furthermore, this lattice of quantum mechanical proposi tions has, from a formal point of view, many similarities with a Boolean lattice L8 which is known to be the lattice of classical propositional logic. Therefore, one could conjecture that due to the algebraic structure of quantum mechanical observables a logical calculus Q of quantum mechanical propositions is established, which is slightly different from the calculus L of classical propositional logic but which is applicable to all quantum mechanical propositions (C. F. v. Weizsacker, 1955). This calculus has sometimes been called ‘quan tum logic‘. However, the statement that propositions about quantum physical systems are governed by the laws of quantum logic, which differ from ordinary classical logic and which are b | | 出版日期 | Book 1978 | | 关键词 | Interpretation; logic; proposition; quantum mechanics | | 版次 | 1 | | doi | https://doi.org/10.1007/978-94-009-9871-1 | | isbn_softcover | 978-94-009-9873-5 | | isbn_ebook | 978-94-009-9871-1Series ISSN 0166-6991 Series E-ISSN 2542-8292 | | issn_series | 0166-6991 | | copyright | D. Reidel Publishing Company, Dordrecht, Holland 1978 |
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发表于 2025-3-21 18:20:00
