TY - GEN
N1 - Mathematical Economics, 2018, Nr 14 (21), s. 95-106
N2 - 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 alternativesThe 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
L1 - http://www.dbc.wroc.pl/Content/70313/Schlichtinger_Methods_of_mathematical_quantum.pdf
M3 - artykuł
L2 - http://www.dbc.wroc.pl/Content/70313
PY - 2019
KW - Hilbert space
KW - quaternions
KW - quaternionic quantum mechanics
KW - Schrödinger equation
KW - regression
KW - expected utility
C1 - Pewne prawa zastrzeżone na rzecz Autorów i Wydawcy
A1 - Schlichtinger, Agnieszka Matylda
PB - Wydawnictwo Uniwersytetu Ekonomicznego we Wrocławiu
C6 - Dla wszystkich zgodnie z licencją
LA - eng
CY - Wrocław
ID - DOI: 10.15611/me.2018.14.07
T1 - Methods of mathematical quantum theory in selected economic models
UR - http://www.dbc.wroc.pl/dlibra/publication/edition/70313
ER -