Ebook: Quantum Mechanics Algebras and Distributions
Author: Dubin D. A., Hennings Mark A
- Tags: Quantum theory, Topological algebras, Kwantummechanica, Operatortheorie, Quanta théorie des, Algèbres topologiques, Quantenmechanik, Mathematische Physik, Quantum theory -- Mathematics
- Series: Pitman research notes in mathematics series 238
- Year: 1990
- Publisher: Longman Scientific & Technical
- City: Harlow, Essex, England, New York, NY
- Edition: 1st
- Language: English
- djvu
These notes present a rigorous mathematical formulation of quantum mechanics based on the algebraic framework of observables and states. The underlying mathematics is that of topological algebras, locally convex spaces and distribution theory. Amongst the topics considered is Dirac's bra and ket formalism. These notes also contain a discussion of quantum measurement theory, using the Copenhagen interpretation, but taking into account the algebraic structure and the phenomenon of continous spectra of observables
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