非完整变转动惯量相对论系统的Noether守恒量
Noether’s conserved quantities of nonholonomic variable moment of inertia relativistic systems
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摘要: 研究非完整变转动惯量相对论系统的 Noether守恒量 .给出变转动惯量相对论系统的D'Alembert原理 ,利用其在无限小变换下的不变性条件 ,得到非完整变转动惯量相对论系统的 Noether守恒量存在的条件和形式 ,并举例说明结果的应用 .Abstract: The Noether's conserved quantities of nonholonomic variable moment of inertin relativistic systems are studied.The D'Alembert's principle of the variable moment of inertia relativistic tystems is given,and on the basis of the invariance condition of the principle under the infinitesimal transformation,the existential condition and form of the Noether's conserved quantities for the above systems are obtained.Finally one example showing the application of the results is given.