منابع مشابه
State Property Systems and Orthogonality
The structure of a state property system was introduced to formalize in a complete way the operational content of the Geneva-Brussels approach to the foundations of quantum mechanics [7, 8, 9], and the category of state property systems was proven to be equivalence to the category of closure spaces [9, 10]. The first axioms of standard quantum axiomatics (state determination and atomisticity) h...
متن کاملRepresentation of State Property Systems
A ‘state property system’ is the mathematical structure which models an arbitrary physical system by means of its set of states, its set of properties, and a relation of ‘actuality of a certain property for a certain state’. We work out a new axiomatization for standard quantum mechanics, starting with the basic notion of state property system, and making use of a generalization of the standard...
متن کاملAn Orthogonality Property of the Legendre Polynomials
We give a remarkable additional othogonality property of the classical Legendre polynomials on the real interval [−1, 1]: polynomials up to degree n from this family are mutually orthogonal under the arcsine measure weighted by the degree-n normalized Christoffel function.
متن کاملA New Cryptographic Property Based on the Orthogonality of Quasigroups
In order to achieve better cryptographic properties of quasigroups of order 4, we make a new classification. In our research we use an approach with generalized quasigroup orthogonality, which leads us to this interesting classification, on reducible and irreducible quasigroups. Existence of the classes of reducible and irreducible quasigroups depends on the property of orthogonality of quasigr...
متن کاملConnectedness applied to closure spaces and state property systems ∗
In [1] a description of a physical entity is given by means of a state property system and in [2] it is proven that any state property system is equivalent to a closure space. In the present paper we investigate the relations between classical properties and connectedness for closure spaces. The main result is a decomposition theorem, which allows us to split a state property system into a numb...
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ژورنال
عنوان ژورنال: International Journal of Theoretical Physics
سال: 2005
ISSN: 0020-7748,1572-9575
DOI: 10.1007/s10773-005-7069-4