TY - JOUR
T1 - Economic ProductRank and Quantum Wave Probability
AU - Chen , Mu-Fa
JO - CSIAM Transactions on Applied Mathematics
VL - 1
SP - 96
EP - 105
PY - 2025
DA - 2025/02
SN - 6
DO - http://doi.org/10.4208/csiam-am.SO-2023-0002
UR - https://global-sci.org/intro/article_detail/csiam-am/23797.html
KW - Economics, ProductRank, Hermitizable, quantum mechanics.
AB - <p style="text-align: justify;">This note discusses a long debated question whether there is randomness in
quantum mechanics or not? Einstein’s view on the question is “God does not throw
dice”. Our starting point for the discussion is the classification of products in the economic system, called ProductRank, which seems an analog of the “principal component analysis” in statistics. But the former is much more elaborate than the latter.
Interestingly, we find an intrinsic common point among economic system, statistics
and quantum mechanics, which then leads to a successful classification of the products in economy, as well as a mathematical view of “wave probability” in quantum
mechanics. An application to the algorithm for eigenpair is included.</p>