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A Note on Differences Between Operator‐Level and Function‐Level Equations of Motion
Author(s) -
Simons Jack
Publication year - 1977
Publication title -
international journal of quantum chemistry
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.484
H-Index - 105
eISSN - 1097-461X
pISSN - 0020-7608
DOI - 10.1002/qua.560120119
Subject(s) - mathematical physics , salt lake , rowe , operator (biology) , citation , physics , chemistry , library science , computer science , geology , biochemistry , repressor , transcription factor , gene , paleontology , marketing , structural basin , business
The primary purpose ot this fiole is to demonstrate that there are important differences between the operator and tunction equalities which arise in using the Heisenberg equation ot motion [1] (EOM) in maDy-body physics and chemistry. The pedagogical remarks presented here are offered in the hope that they will help others to avoid drawing talse conclusions because ot a Jack ot understanding. Let us begin by assuming that we are treating a system which consists ot electrons moving in the potential field V(i') ot one or maTe fixed positively charged nuclei, such as would be the case tor electrons in a molecule. Then the many-electron Hamiltonian H tan be writtenin second quantization notation [2] (in atomic units) as