Logical foundations of the Jauch-Piron approach to quantum physics

Journal Article · Mon Oct 31 23:00:00 EST 1988 · Int. J. Theor. Phys.; (United States)

DOI:https://doi.org/10.1007/BF00671312· OSTI ID:6212469

Cattaneo, G; Pozza, C D; Garola, C; Nistico, G

We make a critical analysis of the basic concepts of the Jauch-Piron (JP) approach to quantum physics. Then, we exhibit a formalized presentation of the mathematical structure of the JP theory by introducing it as a completely formalized syntactic system, i.e., we construct a formalized language L/sub e/ and formally state the logical-deductive structure of the JP theory by means of L/sub e/. Finally, we show that the JP syntactic system can be endowed with an intended interpretation, which yields a physical model of the system. A mathematical model endowed with a physical interpretation is given which establishes (in the usual sense of the model theory) the coherence of the JP syntactic system.

• Research Organization: Universita di Milano (Italy)
• OSTI ID: 6212469
• Journal Information: Int. J. Theor. Phys.; (United States), Journal Name: Int. J. Theor. Phys.; (United States) Vol. 27:11; ISSN IJTPB
• Country of Publication: United States
• Language: English

Related Subjects

657002* -- Theoretical & Mathematical Physics-- Classical & Quantum Mechanics
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
COMMUTATION RELATIONS
HIDDEN VARIABLES
MAPPING
MATHEMATICAL LOGIC
MATHEMATICAL MANIFOLDS
MATHEMATICAL MODELS
MATHEMATICAL OPERATORS
MATHEMATICAL SPACE
MATHEMATICS
MEASURE THEORY
MECHANICS
PROJECTION OPERATORS
QUANTUM MECHANICS
QUANTUM OPERATORS
SET THEORY
SPACE
SPACE-TIME
TOPOLOGICAL MAPPING
TRANSFORMATIONS