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物理 大学生・専門学校生・社会人

マーカーと矢印のところがわかりません、教えてください http://www.yam-web.net/science-note/AM.pdf

導出2 http://hep1.c.u-tokyo.ac.jp/-kazama/QFT/qh4slide.pdf 「量子力学/場の量子論 /Noether の定理」参照 SL Lagrange 微分: を次のように定義する。 SL Te (6,4) OL 8p SL OL 三 p OL 場の運動方程式: =0 次の無限小変換を考える。 x→x'=x+4x (x→x=x"+ Ax") p(x) → p(x) = ¢(x) + 4¢(x) 4は total change(¢(x) からの差分)を表す。 また、中(x)は、(x)= ¢(x) + Ax" 6,¢(x) でもある。 中(x) は場を少しだけ変形したもの、次の項は位置を少しだけずらしたときの差分。つまり、場の形の微小変 化による差分+位置の微小ずらしによる差分= total change となる。 Lie 変分:同一座標点での場の形の変化を Lie 変分と呼びるで表す。 るp(x) = ¢(x) - (x) 上の中(x)に関する2つの式より、 Sp(x) = ¢(x) - (x) = 4¢(x) - Ax" o,¢(x) すなわち total change 4¢(x) は、A¢(x) = ō¢(x) + Ax" o,¢(x) となる。 (x地点では、ふ(x)= ¢(x') - ¢(x') ) 作用S=Jd'xL(¢x), a,4(x))の変化を求める。 S'=[dx L(¢), 6.f(ax)) まず場の変化をx'での Lie 変分で書き表す。すなわちゅ(x) = ¢(x) + 5p(x) 等々。 すると、微小量の一次のオーダーまでとって S'=[dxL(ec). 6,4)+Jd'x( + L -6,54) 第1項をxでの表式に書き換えると、 Ja'r La) =[dxL) d'x=dx =Jdx(L) + Ax" 6,1 ) ヤコビアンは次のように計算される。行列 MをM,= 0, Ax° と定義すると、 TOPページ(総合目次)へ 全文検索は Ctrl+F 11 = detl1 +MI = expTrln(1 + M) ~expTrM~ 1+ 6Ax" OL S'=Jd'x(1+ 0Ax°)(L+ Ax" 0,L + 6,6) ("e)e - 5p T9 この一次近似は、 SL L L -Sp+ 6(- SL 三 6¢ OL =[dx{L+6.(ax" L) + - るみ)} a(6,4) 0.4) =Jdx{L+ + T2 p+ Ax" L)} (0,p) 8p S-S=[dx +s T9 るp+ Ax" L)} - Ja'xL=S 8p (e)e、 =Jdx{e"+ SL ここでは、デ= OL - み+ Ax" L 6,4) SL ゅ= 0 8p 8L L T9 場の運動方程式 8p =0より、 " a(6,4) L L るp+ Ax" Lとしたが、j"= - a(0,4) - 5ゅ - Ax" Lとおいてもよい。) 6j"= 0 (j"=

解決済み 回答数: 1
英語 高校生

1番が分かりません、理由付きで教えてください🙇‍♂️🙇‍♂️

1ま 次の英文を読み、設問に答えなさい。 [設問解答目標時間: 25分/計20 点] ルich hand do you use to do most things your left hand or your right one? Most neonle se their right hand more. If (X)thisS IS true of you, then you are right-handed. Left- handed people, ( 1 ), are those who use their left hand to do most thingsleating, writing, balding tools or throwing ballsS, ( 2 ). A person whose left hand is used more can also he (あ )aleft-hander. A Canadian scientist, who's been studying left-handed people, has made some surprising diccoveries about them. The scientist found that left-handers have many more accidents than right-handed people. The study was made of almost 1,900 left-handed students at the University of British forty-nine percent more likely to have an accidentat home than right-handed people They are twenty- Columbia overa two-third period. It was discovered that left-handed people are five percent more likely to have an accident, ( い ) sports activities. (Y)Many accidents suffered by left-handed people happen when they use electric power tools. This is because the tools are designed to be held and used easily by right-handers. So, in order to operate them, a left-handed person must use his right hand or else turn his body in a strange position. ( 3 ), left-handers are fifty-four percent more likely to have an accident while using power tools than right-handers. [230 語] [徳島文理大 改] 1. 空欄(1)~(3)に入る最も適切なものを(a)~(c)の中から一つずっ選びなさい。 なお、大 文字で始めるべき語句も小文字で初めてあります。 (各1点:計3点) (a) for example (b) for these reasons (c) on the other hand

未解決 回答数: 1
英語 高校生

1番が分かりません、理由付きで教えてください🙇‍♂️🙇‍♂️

|3| 次の英文を読み、設問に答えなさい。 [設問解答目標時間: 25分/計 20 点] Which hand do you use to do most things-ーyour left hand or your right one? Most people e their right hand more. If (X)this is true of you, then you are right-handed. Left- handed people, ( 1 ), are those who use their left hand to do most thingsleating, writing, ding tools or throwing balls, ( 2 ). A person whose left hand is used more can also be (あ)a left-hander. A Canadian scientist, who's been studying left-handed people, has made some surprising diecoveries about them. The scientist found that left-handers have many more accidents than right-handed people. The study was made of almost 1,900 left-handed students at the University of British Columbia over a two-third period. It was discovered that left-handed people percent more likely to have an accidentat home than right-handed people> They are twenty- are forty-nine five percent more likely to have an accident, ( い ) sports activities, (Y)Many accidents suffered by left-handed people happen when they use electric power tools. This is because the tools are designed to be held and used easily by right-handers. So, in order to operate them, a left-handed person must use his right hand or else turn his body in a strange position. ( 3 ), left-handers are fifty-four percent more likely to have an accident while using power tools than right-handers. [230 語] [徳島文理大 改] 1. 空欄(1)~(3)に入る最も適切なものを(a)~(c)の中から一つずつ選びなさい。 なお、大 文字で始めるべき語句も小文字で初めてあります。 (各1点: 計3点) (a) for example (b) for these reasons (c) on the other hand

未解決 回答数: 1