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상대론적 비리알정리의 고찰

Title
상대론적 비리알정리의 고찰
Other Titles
(The) Study of Virial Theorem in Relativistic Mechanics
Authors
高允希
Issue Date
1994
Department/Major
교육대학원 과학교육전공물리교육분야
Keywords
상대론비리알정리Virial Theorem
Publisher
이화여자대학교 교육대학원
Degree
Master
Advisors
김성원
Abstract
In this study, the virial theorem which relates the average of the kinetic energy of a system to the average of the directional derivative of the potential was introduced. Besides the classical method, this theorem was derived in the statistical method and quantumn mechanical method. And the virial theorem was derived directly from the action with no need to go via the equation of motions. In relativistic mechanics virial theorem is equal to the trace of Einstein's equation of motion.;본 논문에서는 평균 위치에너지와 평균 운동에너지들 사이의 관계를 밝히는 비리알 정리가 고전적인 방법 이외에 앙상블 평균법과 양자역학적 기대값으로도 유도됨을 알아 보고, 작용(action)의 변분을 취하는 접근방법으로 비리알 정리를 유도하는 과정을 이해하고 이를 상대론에 적응하여 아인슈타인 운동방정식의 흔적과 비교한다.
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