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翻訳と辞書　辞書検索 [ 開発暫定版 ] スポンサード リンク Tests of relativistic energy and momentum ： ウィキペディア英語版 Tests of relativistic energy and momentum Tests of relativistic energy and momentum are aimed at measuring the relativistic expressions for energy, momentum, and mass. According to special relativity, the properties of particles moving approximately at the speed of light significantly deviate from the predictions of Newtonian mechanics. For instance, the speed of light cannot be reached by massive particles. Today, those relativistic expressions for particles close to the speed of light are routinely confirmed in undergraduate laboratories, and necessary in the design and theoretical evaluation of collision experiments in particle accelerators.〔〔 See also Tests of special relativity for a general overview. ==Overview== In classical mechanics, kinetic energy and momentum are expressed as :$E\_=\backslash tfracmv^\; ,\backslash quad\; p=mv\; .\; \backslash ,$ On the other hand, special relativity predicts that the speed of light is constant in all inertial frames of references. The relativistic energy–momentum relation reads: :$E^-(pc)^=(mc^)^\; \backslash ,$, from which the relations for rest energy $E\_$, relativistic energy (rest + kinetic) $E$, kinetic energy $E\_$, and momentum $p$ of massive particles follow: :$E\_=mc^,\backslash quad\; E=\backslash gamma\; mc^,\backslash quad\; E\_=(\backslash gamma-1)mc^,\backslash quad\; p=\backslash gamma\; mv$, where $\backslash gamma=1/\backslash sqrt\{1-(v/c)^\{2\}\}$. So relativistic energy and momentum significantly increase with speed, thus the speed of light cannot be reached by massive particles. In some relativity textbooks, the so called "relativistic mass" $M=\backslash gamma\; m\backslash ,$ is used as well. However, this concept is considered disadvantageous by many authors, instead the expressions of relativistic energy and momentum should be used to express the velocity dependence in relativity, which provide the same experimental predictions. 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「Tests of relativistic energy and momentum」の詳細全文を読む スポンサード リンク 翻訳と辞書 : 翻訳のためのインターネットリソース Copyright(C) kotoba.ne.jp 1997-2016. All Rights Reserved.