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Decompositions in Quantum Mechanics—An Overview

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Credible Asset Allocation, Optimal Transport Methods, and Related Topics (TES 2022)

Part of the book series: Studies in Systems, Decision and Control ((SSDC,volume 429))

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Abstract

There is current interest in using ideas from quantum mechanics in the study of economics. We give an overview of an approach to quantum mechanics rooted not necessarily in Hilbert space, but in the primitive mathematical idea of direct products. This approach includes the standard von Neumann Hilbert space approach. It provides a conceptually simpler understanding of issues from standard quantum mechanics, and offers possibilities beyond the standard Hilbert space formulation. These further possibilities may be of particular interest in consideration of economics where the aim is to exploit quantum principles rather than specific physical situations.

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Author information

Authors and Affiliations

  1. New Mexico State University, Las Cruces, NM, 88003, USA

    John Harding

Authors
  1. John Harding
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Correspondence to John Harding .

Editor information

Editors and Affiliations

  1. Faculty of Economics, Chiang Mai University, Chiang Mai, Thailand

    Songsak Sriboonchitta

  2. Department of Computer Science, University of Texas, El Paso, TX, USA

    Vladik Kreinovich

  3. Faculty of Economics, Center of Excellence in Econometrics, Chiang Mai University, Chiang Mai, Thailand

    Woraphon Yamaka

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Harding, J. (2022). Decompositions in Quantum Mechanics—An Overview. In: Sriboonchitta, S., Kreinovich, V., Yamaka, W. (eds) Credible Asset Allocation, Optimal Transport Methods, and Related Topics. TES 2022. Studies in Systems, Decision and Control, vol 429. Springer, Cham. https://doi.org/10.1007/978-3-030-97273-8_6

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