Quantum morphogenesis: A variation on Thom's catastrophe theory
量子物理
2009-11-07 v2 定量方法
摘要
Non-commutative propositions are characteristic of both quantum and non-quantum (sociological, biological, psychological) situations. In a Hilbert space model states, understood as correlations between all the possible propositions, are represented by density matrices. If systems in question interact via feedback with environment their dynamics is nonlinear. Nonlinear evolutions of density matrices lead to phenomena of morphogenesis which may occur in non-commutative systems. Several explicit exactly solvable models are presented, including `birth and death of an organism' and `development of complementary properties'.
引用
@article{arxiv.quant-ph/0211105,
title = {Quantum morphogenesis: A variation on Thom's catastrophe theory},
author = {D. Aerts and M. Czachor and L. Gabora and M. Kuna and A. Posiewnik and J. Pykacz and M. Syty},
journal= {arXiv preprint arXiv:quant-ph/0211105},
year = {2009}
}
备注
published version