6533b86dfe1ef96bd12ca790

RESEARCH PRODUCT

CQ*-Algebras of Operators and Application to Quantum Models

Camillo Trapani

subject

Pure mathematicsBounded functionDegrees of freedomMathematical analysisObservableConfiguration spaceAlgebraic numberAlgebra over a fieldQuantumMathematics

description

C*-algebras constitute, as known, the cornerstones of the Haag-Kastler [1] algebraic approach to quantum systems, with infinitely many degrees of freedom: one usually starts, in fact, with associating to each bounded region V of the configuration space of the system the C*-algebra A v of local observables in V. The uniform completion A of the algebra A0 generated by the Av’s is then considered as the C*-algebra of observables of the system.

https://doi.org/10.1007/978-1-4613-0269-8_78