Superselection Principle and Pure States of n-Identical Particles. [Offprint].
by GALINDO, Alberto (1934-); MORALES, A; NUÑEZ-LAGOS, R.
[Melville, NY]:: Journal of Mathematical Physics, 1962., 1962. Series: Journal of Mathematical Physics, vol. 3, no. 2. Printed wrappers. Very good. GALINDO, Alberto; MORALES, A; NUÑEZ-LAGOS, R. Abstract: Wightman's assumption of commutative superselection rules is proved to be equivalent to Jauch's assumption of existence of a complete set of commuting observables. The analysis of coherence is carried out by using the Gel'fand representation theory and the general structure of the complete sets of compatible observables is given when the Hilbert space is separable. The above equivalence provides the physical grounds to incorporate both assumptions into the axiomatic foundations of quantum theory as a single "superselection principle."' To illustrate how this principle works, the problem of determining the physically realizable states of an assembly of n?identical particles is analyzed and solved. See also: Maximilian A. Schlosshauer, Decoherence: and the Quantum-to-Classical Transition. Alberto Galindo is a Spanish theoretical physicist pioneer and emeritus professor at the Universidad Complutense, Madrid, Spain. He graduated from the Ramón y Cajal Institute, Huesca, in 1952, studied exact sciences at the University of Zaragoza, earning the Casañal Prize in 1955 and 1956. He earned his PhD in the physical sciences in 1960 from the Universidad Complutense de Madrid. From 1961-2 he was a temporary member of the Courant Institute of Mathematical Sciences of New York University. He was Researcher in the Theorique Division of the European Organization for Nuclear Research (CERN) in Geneva from 1962 to 1964 (during the time of this paper). He was co-founder of Grupo Interuniversitario de Física Teórica (GIFT). Galindo is a member of the Royal Academy of Exact, Physical and Natural Sciences, Royal Academy of Medicine, and the European Academy of Sciences & Arts. Among the prestigious awards he has earned are the 1970 medal of physics, Real Sociedad Española de Física y Química, National Prize of Research Santiago Ramón y Cajal, and others. (Inventory #: S13257)
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