About a V. Arnold’s principle and its application to quantum chemistry and related fields
Abstract
The background of some quantum-chemical ideas is given from viewpoint of the Arnold principle about an erroneous attribution of the known theorems (“if a notion bears a personal name, then this name is not the name of the discoverer”). We consider a few examples of wrong attribution, such as the Hilleraas-Undgejm–MacDonald theorem, Carlson-Keller theorem, Bell’s inequalities etc. In the paper we also apply the Arnold weakened principle which means forgetting or ignorance of initial publications. From this point of view, several important articles of Mestechkin are considered. We discuss in detail the role of the so-called singular-value decomposition (SVD) for quantum chemistry problems. In particular, the use of SVD for the quasi-one-electron excited state model is specified.
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