Virial theorem from action principles

IF 3 3区物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY

Annals of Physics Pub Date : 2025-06-04 DOI:10.1016/j.aop.2025.170099

Pattarapon Tanalikhit

引用次数: 0

Abstract

The virial theorem is derived from the action principle and variational method in classical and quantum mechanics by exploiting the scale invariance of the action and the Hamiltonian operator. Alternative approaches like the matrix mechanics, the Schrödinger equation, and the Hellmann–Feynman theorem are mentioned. The unifying role of scale invariance and action principle in these frameworks is discussed.

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维里定理的作用原理

维里定理是从经典力学和量子力学中的作用原理和变分方法出发，利用作用的尺度不变性和哈密顿算符导出的。替代的方法，如矩阵力学，Schrödinger方程，和赫尔曼-费曼定理被提到。讨论了尺度不变性和作用原理在这些框架中的统一作用。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Annals of Physics 物理-物理：综合

CiteScore

5.30

自引率

3.30%

发文量

211

审稿时长

47 days

期刊介绍： Annals of Physics presents original work in all areas of basic theoretic physics research. Ideas are developed and fully explored, and thorough treatment is given to first principles and ultimate applications. Annals of Physics emphasizes clarity and intelligibility in the articles it publishes, thus making them as accessible as possible. Readers familiar with recent developments in the field are provided with sufficient detail and background to follow the arguments and understand their significance. The Editors of the journal cover all fields of theoretical physics. Articles published in the journal are typically longer than 20 pages.