Logical foundations of the Jauch-Piron approach to quantum physics

Journal Article · Tue Nov 01 00:00:00 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: Univ. di Milano (Italy)
• OSTI ID: 6212469
• Journal Information: Int. J. Theor. Phys.; (United States), Vol. 27:11
• Country of Publication: United States
• Language: English

Related Subjects

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