Bericht: On the Logic of Quantum Mechanics

Author:

Beltrametti E. G.12,Cassinelli G.12

Affiliation:

1. Istituto di Scienze Fisiche dell'Università di Genova

2. Istituto Nazionale di Fisica Nucleare — Sez. Genova

Abstract

We are concerned with the formulation of the essential features of quantum theory in an abstract way, utilizing the mathematical language of proposition lattice theory. We review this approach giving a set of consistent axioms which enables to achieve the relevant results: the formulation and the essential role of the superposition principle is particularly examined.

Publisher

Walter de Gruyter GmbH

Subject

Physical and Theoretical Chemistry,General Physics and Astronomy,Mathematical Physics

Cited by 7 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Bibliography on quantum logics and related structures;International Journal of Theoretical Physics;1992-03

2. Conditional probabilities on orthomodular lattices;Reports on Mathematical Physics;1984-08

3. Problems of the Proposition-State Structure of Quantum Mechanics;Italian Studies in the Philosophy of Science;1980

4. On state transformations induced by yes-no experiments, in the context of quantum logic;Journal of Philosophical Logic;1977-01

5. On the field of the quantum mechanical Hilbert space;Journal of Mathematical Physics;1977

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