Can we refer to Hamilton's equations for an oscillator with friction?

被引：4

作者：

Shalashov, A. G. ^{[1
,2
]}

机构：

[1] Russian Acad Sci, Inst Appl Phys, Ul Ulyanova 46, Nizhnii Novgorod 603950, Russia

[2] Lobachevsky State Univ Nizhni Novgorod, Prosp Gagarina 23, Nizhnii Novgorod 603950, Russia

来源：

PHYSICS-USPEKHI | 2018年 / 61卷 / 11期

关键词：

classical mechanics; Lagrange's equations; Hamilton's equations; energy integral; conservative and dissipative systems; QUANTUM-MECHANICS; DISSIPATION; SYSTEMS;

D O I：

10.3367/UFNe.2017.12.038273

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

A formal possibility of describing a one-dimensional dissipative problem (sic) = f(x, (x)over dot) with completely conservative Lagrange's or Hamilton's equations is discussed. A reference case of a harmonic oscillator with linear friction is considered in detail.

引用

页码：1082 / 1088

页数：7

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