A Deduction of the Hellmann-Feynman Theorem

被引：2
|
作者：
Feng, Chen [1 ]
Wei, Cheng [1 ]
Fang, Bao-long [1 ]
Fan, Hong-yi [2 ]
机构：
[1] Hefei Univ, Dept Math & Phys, Hefei 230022, Anhui, Peoples R China
[2] Univ Sci & Technol China, Dept Mat Sci & Engn, Hefei 230026, Anhui, Peoples R China
来源：
INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS | 2020年 / 59卷 / 05期
关键词：
Hellmann-Feynman (HF) theorem; Eigenenergy E-0 (lambda); Hamiltonian H (lambda); The expectation value;
D O I：
10.1007/s10773-019-04362-7
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
In this paper we present a deduction of the Hellmann-Feynman (HF) theorem for the lowest eigenenergy E0 (.) of a Hamiltonian H (.), that is : its second-order derivative with respect to he parameter.,.2E0..2, is always less than the expectation value of.2H(.)..2 in the ground state. We also point out that the above deduction does not hold for the FH theorem in ensemble average. The electric polarizability of molecules is studied by the deduction of the HF theorem
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页码：1396 / 1401
页数：6
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