A Note on Differences Between Operator‐Level and Function‐Level Equations of Motion | Zendy

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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

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