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A brief introduction to quantum formalism
University of Leicester, UK.
Linnaeus University, Faculty of Technology, Department of Mathematics.ORCID iD: 0000-0002-9857-0938
2017 (English)In: The Palgrave Handbook of Quantum Models in Social Science: Applications and Grand Challenges / [ed] Emmanuel Haven, Andrei Khrennikov, Palgrave Macmillan, 2017, 1-17 p.Chapter in book (Other academic)
Abstract [en]

The authors present briefly the basic notions of the quantum formalism: pure and mixed states; quantum observables; quantum probability; Born’s rule, superposition, and ‘state collapse’; the projection postulate (von Neumann–Lüders postulate); Dirac’s ket and bra-vector notations; elements of quantum information theory and quantum logic; Schrödinger’s and von Neumann’s equations; unitary dynamics; and positive operator valued measures. They also define the basic mathematical notions related to the quantum formalism: Hilbert space; scalar product; norm; Hermitian operator (matrix); projector; and unitary operator and adjoint operator. This chapter may be useful for newcomers to the field, but for those readers who have preliminary knowledge about quantum mechanics (QM) they can proceed directly to advanced chapters.

Place, publisher, year, edition, pages
Palgrave Macmillan, 2017. 1-17 p.
National Category
Probability Theory and Statistics
Research subject
Mathematics, Applied Mathematics
Identifiers
URN: urn:nbn:se:lnu:diva-64655DOI: 10.1057/978-1-137-49276-0_1Scopus ID: 2-s2.0-85018946665ISBN: 9781137492760 (electronic)ISBN: 9781137492753 (print)OAI: oai:DiVA.org:lnu-64655DiVA: diva2:1104943
Available from: 2017-06-02 Created: 2017-06-02 Last updated: 2017-06-27Bibliographically approved

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CiteExportLink to record
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Citation style
  • apa
  • harvard1
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  • modern-language-association-8th-edition
  • vancouver
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Language
  • de-DE
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  • nn-NB
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  • Other locale
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Output format
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  • asciidoc
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