Methods of Mathematical Quantum Theory in Selected Economic Models

• Autorzy: Agnieszka Matylda Schlichtinger
• Języki publikacji: EN

Abstrakty

EN

The issue of using the physical method in economics is no longer an innovative idea. However, nowadays the methods of mathematical quantum mechanics are also applied to economic sciences. This is the natural result of the fact that as applicable in quantum mechanics, mathematical spaces and tools turn out to be useful in other fields of science. Then it is possible to assume that the problem of the choice of the space is a universal question that is associated not only with mathematics and physics but also with economics or social sciences. In this paper the author considers various formulations of Hilbert space in relation to finite-dimensional quantum mechanics which constitutes a fundament to also apply my outcomes in economics. On the basis of mathematical considerations the author puts forward the hypothesis that the complex Hilbert space is characterized with numerous advantages in relation to its real and quaternionic alternatives.(original abstract)

Słowa kluczowe

EN

Hilbert Spaces; Economic models; Mathematics; Regression models

PL

Przestrzeń Hilberta; Modele ekonomiczne; Matematyka; Modele regresji

• Czasopismo: Mathematical Economics
• Rocznik: 2018
• Numer: nr 14 (21)
• Strony: 95--106

Twórcy

autor

Agnieszka Matylda Schlichtinger

• University of Wrocław, Poland

Bibliografia

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Identyfikatory

DOI

10.15611/me.2018.14.07