Abstract
There are two approaches to the algebraic structure associated with systems of point particles in quantum mechanics. The first is quite concrete and physical. One begins with the Hilbert space of vector states of the particles and subsequently introduces algebras of operators corresponding to certain particle observables. The second approach is more abstract and consists of postulating certain structural features of a C*-algebra of observables and then proving uniqueness of the algebra. One recovers the first point of view by passing to a particular representation. We discuss the first concrete approach in this subsection and then in Section 5.2.2 we examine the abstract formulation.
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© 1997 Springer-Verlag Berlin Heidelberg
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Bratteli, O., Robinson, D.W. (1997). Continuous Quantum Systems. I. In: Operator Algebras and Quantum Statistical Mechanics. Texts and Monographs in Physics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-03444-6_2
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DOI: https://doi.org/10.1007/978-3-662-03444-6_2
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-08257-3
Online ISBN: 978-3-662-03444-6
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