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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"=

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TOEIC・英語 大学生・専門学校生・社会人

問5 英語の長文問題です選択式です! よろしくお願いします。

【問5】 次の Global Warming の段落を読んで、その下の英文 (S) が True (正 い) か False (誤り) のどちらか、選びなさい。 AM Global Warmind: All over the world people are talking about global warming. Vorld leaders are meeting to discuss this problem. Why is it such an important ISSU@? f the temperature of the earth rises too much, the polar ice CapS will begin to melt, causing the water level in the oceans to rise. The Intergovernmental Panel on Climate Change (the IPCC) has made Studies which suggest that there could be a one-meter rise in sea levels by the year 2080. No one knows exactly how bad the effect of this rise could be. However, it is thought that roughly 1 billion people who live on coastal land could experience severe impacts. The places most likely to be badly affected by this rise in sea level are tropical and warmer zoness: these are places where the coasts are more highly populated. The most vulnerable regions are located along the southern coast of the Mediterranean Sea, the west coast of Africa, and southern Asian countries like India, Sri Lanka, and Bangladesh. These regions contain some of the poorest, most heavily populated, and highly fertile areas of the world. In these areas, there will be huge problems as people's homes are flooded and qood farming land becomes useless. In the Pacific and Indian Oceans there are many island nations that will cease to exist. About 5 million people will have to move to other countries as the rising seas ruin drinking water and severe storms destroy their homes. The consequences of global warming will be devastating for billions of people. This is not only their problem, but an issue for the world to discuss. Much has to be done before the oceans come ashore. (S): Because of global warming, the temperature of ice and snoW IS increasin9. 〇 A. TRUE (〇) B. FALSE

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TOEIC・英語 大学生・専門学校生・社会人

問5 英語の長文問題です 選択式です よろしくお願いします。

【問5】 次の Global Warming の段落を読んで、その下の英文 (S) が True (正 い) か False (誤り) のどちらか、選びなさい。 AM Global Warmind: All over the world people are talking about global warming. Vorld leaders are meeting to discuss this problem. Why is it such an important ISSU@? f the temperature of the earth rises too much, the polar ice CapS will begin to melt, causing the water level in the oceans to rise. The Intergovernmental Panel on Climate Change (the IPCC) has made Studies which suggest that there could be a one-meter rise in sea levels by the year 2080. No one knows exactly how bad the effect of this rise could be. However, it is thought that roughly 1 billion people who live on coastal land could experience severe impacts. The places most likely to be badly affected by this rise in sea level are tropical and warmer zoness: these are places where the coasts are more highly populated. The most vulnerable regions are located along the southern coast of the Mediterranean Sea, the west coast of Africa, and southern Asian countries like India, Sri Lanka, and Bangladesh. These regions contain some of the poorest, most heavily populated, and highly fertile areas of the world. In these areas, there will be huge problems as people's homes are flooded and qood farming land becomes useless. In the Pacific and Indian Oceans there are many island nations that will cease to exist. About 5 million people will have to move to other countries as the rising seas ruin drinking water and severe storms destroy their homes. The consequences of global warming will be devastating for billions of people. This is not only their problem, but an issue for the world to discuss. Much has to be done before the oceans come ashore. (S): Because of global warming, the temperature of ice and snoW IS increasin9. 〇 A. TRUE (〇) B. FALSE

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TOEIC・英語 大学生・専門学校生・社会人

問3 英語の長文問題です 選択式です よろしくお願いします

【問3】 次の Global Warming の段落を読んで、その下の英文 (S) が い) か False (誤り) のどちらか、選びなさい。 (S) が True (正し Global Warming: All over the world people are talking about global warming. World leaders are meeting to discuss this problem. Why is it Such an Important ISSUG? If the temperature of the earth rises too much, the polar ice capS will begin to melt, causing the water level in the oceans to rise. The Intergovernmental Panel on Climate Change (the IPCC) has made studies which suggest that there could be a one-meter rise In Se levels by the year 2080. No one knows exactly how bad the effect of this rise could be. However, it is thought that roughly 1 billion people who live on coastal land could experience severe impacts. The places most likely to be badly affected by this rise in sea level are tropical and warmer ZoneS: these are places where the coasts are Ore highly populated. The most vulnerable regions are located along the southern coast of the Mediterranean Sea, the west coast of Africa, and southerm Asian countries like India, Sri Lanka, and Bangladesh. These regions contain some of the poorest, most heavily populated, and highly fertlle areaS of the world. In these areas, there will be huge problems as people's homes are flooded and good farming land becomes useless. In the Pacific and Indian Oceans there are many jsland nations that will cease to exist. About 5 million people will have to move to other countries as the rising seas ruin drinking water and severe storms destroy their homes. The consequences Of global warming will be devastatind for billions of people. This is not only their problem, but an ISSue for the world to discuss. Much has to be done before the oceans come aShore. (S): As a result of global warmin9, farms and fertile lands throughout the world will be destroyed. 〇 A_ TRUE () B.FALSE

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TOEIC・英語 大学生・専門学校生・社会人

問2 長文の英語です。 選択式です よろしくお願いします。

【問2】 次の Global Warming の段落を読んで、その下の英文 (S) が True (正 い) か False (誤り) のどちらか、選びなさい> Il間 Global Warming: All over the world people are talking about global warming. World leaders are meeting to discuss this problem. Why is it such an important ISSUG? If the temperature of the earth rises too much, the polar ice caps will begin to melt, causing the water level in the oceans to rise. The Intergovernmental Panel on Climate Change (the IPCC) has made studies which suggest that there could be a one-meter rise in sea levels by the year 2080. No one knows exactly how bad the effect of this rise could be. However, it is thought that roughly 1 billion people who live on coastal land could experience severe impacts. The places most likely to be badly affected by this rise in sea level are tropical and warmer zones: these are places where the coasts are more highly populated. The most vulnerable regions are located along the southern coast of the Mediterranean Sea, the west coast of Africa, and southern Asian countries like India, Sri Lanka, and Bangladesh. These reqions contain some of the poorest, most heavily populated, and hiqhly fertile areas of the world. In these areas, there will be huge problems as people's homes are flooded and good farming land becomes useless. In the Pacific and Indian Oceans there are many island nations that will cease to exist. About 5 million people will have to move to other countries as the rising seas ruin drinking water and severe storms destroy their homes. The consequences of global warming wlll be devastating for billions of people. This is not only their problem, but an issue for the world to discuss. Much has to be done before the oceans come ashore. (S): Rising sea-levels will decrease acceSsSs to clean drinking water for hundreds of millions of people. (〇 A_ TRUE (〇) B. FALSE

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TOEIC・英語 大学生・専門学校生・社会人

5問目 英語の長文問題です。 選択式です。よろしくお願いします。

【問5】 次の Global Warming の段落を読んで、その下の英文 (S) が True (正 い) か False (誤り) のどちらか、選びなさい。 AM Global Warmind: All over the world people are talking about global warming. Vorld leaders are meeting to discuss this problem. Why is it such an important ISSU@? f the temperature of the earth rises too much, the polar ice CapS will begin to melt, causing the water level in the oceans to rise. The Intergovernmental Panel on Climate Change (the IPCC) has made Studies which suggest that there could be a one-meter rise in sea levels by the year 2080. No one knows exactly how bad the effect of this rise could be. However, it is thought that roughly 1 billion people who live on coastal land could experience severe impacts. The places most likely to be badly affected by this rise in sea level are tropical and warmer zoness: these are places where the coasts are more highly populated. The most vulnerable regions are located along the southern coast of the Mediterranean Sea, the west coast of Africa, and southern Asian countries like India, Sri Lanka, and Bangladesh. These regions contain some of the poorest, most heavily populated, and highly fertile areas of the world. In these areas, there will be huge problems as people's homes are flooded and qood farming land becomes useless. In the Pacific and Indian Oceans there are many island nations that will cease to exist. About 5 million people will have to move to other countries as the rising seas ruin drinking water and severe storms destroy their homes. The consequences of global warming will be devastating for billions of people. This is not only their problem, but an issue for the world to discuss. Much has to be done before the oceans come ashore. (S): Because of global warming, the temperature of ice and snoW IS increasin9. 〇 A. TRUE (〇) B. FALSE

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TOEIC・英語 大学生・専門学校生・社会人

3問目 英語の長文問題 選択式です、よろしくお願いします。

【問3】 次の Global Warming の段落を読んで、その下の英文 (S) が い) か False (誤り) のどちらか、選びなさい。 (S) が True (正し Global Warming: All over the world people are talking about global warming. World leaders are meeting to discuss this problem. Why is it Such an Important ISSUG? If the temperature of the earth rises too much, the polar ice capS will begin to melt, causing the water level in the oceans to rise. The Intergovernmental Panel on Climate Change (the IPCC) has made studies which suggest that there could be a one-meter rise In Se levels by the year 2080. No one knows exactly how bad the effect of this rise could be. However, it is thought that roughly 1 billion people who live on coastal land could experience severe impacts. The places most likely to be badly affected by this rise in sea level are tropical and warmer ZoneS: these are places where the coasts are Ore highly populated. The most vulnerable regions are located along the southern coast of the Mediterranean Sea, the west coast of Africa, and southerm Asian countries like India, Sri Lanka, and Bangladesh. These regions contain some of the poorest, most heavily populated, and highly fertlle areaS of the world. In these areas, there will be huge problems as people's homes are flooded and good farming land becomes useless. In the Pacific and Indian Oceans there are many jsland nations that will cease to exist. About 5 million people will have to move to other countries as the rising seas ruin drinking water and severe storms destroy their homes. The consequences Of global warming will be devastatind for billions of people. This is not only their problem, but an ISSue for the world to discuss. Much has to be done before the oceans come aShore. (S): As a result of global warmin9, farms and fertile lands throughout the world will be destroyed. 〇 A_ TRUE () B.FALSE

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TOEIC・英語 大学生・専門学校生・社会人

2問目 英語の長文問題です。選択式です。 よろしくお願いします。

【問2】 次の Global Warming の段落を読んで、その下の英文 (S) が True (正 い) か False (誤り) のどちらか、選びなさい> Il間 Global Warming: All over the world people are talking about global warming. World leaders are meeting to discuss this problem. Why is it such an important ISSUG? If the temperature of the earth rises too much, the polar ice caps will begin to melt, causing the water level in the oceans to rise. The Intergovernmental Panel on Climate Change (the IPCC) has made studies which suggest that there could be a one-meter rise in sea levels by the year 2080. No one knows exactly how bad the effect of this rise could be. However, it is thought that roughly 1 billion people who live on coastal land could experience severe impacts. The places most likely to be badly affected by this rise in sea level are tropical and warmer zones: these are places where the coasts are more highly populated. The most vulnerable regions are located along the southern coast of the Mediterranean Sea, the west coast of Africa, and southern Asian countries like India, Sri Lanka, and Bangladesh. These reqions contain some of the poorest, most heavily populated, and hiqhly fertile areas of the world. In these areas, there will be huge problems as people's homes are flooded and good farming land becomes useless. In the Pacific and Indian Oceans there are many island nations that will cease to exist. About 5 million people will have to move to other countries as the rising seas ruin drinking water and severe storms destroy their homes. The consequences of global warming wlll be devastating for billions of people. This is not only their problem, but an issue for the world to discuss. Much has to be done before the oceans come ashore. (S): Rising sea-levels will decrease acceSsSs to clean drinking water for hundreds of millions of people. (〇 A_ TRUE (〇) B. FALSE

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TOEIC・英語 大学生・専門学校生・社会人

1問目、長文問題の英語 選択式です。 よろしくお願いします。

【問1】 次の Global Warming の段落を読んで、その下の英文 (S) が True (正し い) か False (誤り) のどちらか、選びなさい。 Global Warming: All over the world people are talking about global warming. World leaders are meeting to discuss this problem. Why is it such an important issue? If the temperature of the earth rises too much, the polar ice caps will begin to melt, causing the water level in the oceans to rise. The Intergovernmental Panel on Climate Change (the IPCC) has made Studies which suggest that there could be a one-meter rise in sea levels by the year 2080. No one knows exactly how bad the effect of this rise could be. However, it is thought that roughly 1 billion people who live on coastal land could experience severe impacts. The places most likely to be badly affected by this rise in sea level are tropical and warmer zones: these are places where the coasts are more highly populated. The most Vulnerable regions are located along the southern coast of the Mediterranean Sea, the west coast of Africa, and southern Asian countries like India, Sri Lanka, and Bangladesh. These regions contain some of the poorest, most heavily populated, and highly fertile areas of the world. In these areas, there will be huge problems as people's homes are flooded and good farming land becomes useless. In the Pacific and Indian 〇Oceans there are many island nations that will cease to exist. About 5 million people wil have to move to other countries as the rising seas ruin drinking water and severe storms destroy their homes. The conseguences of global warming will be devastating for billions of people. This is not only their problem, but an issue for the world to discuss. Much has to be done before the oceans come ashore、 (⑤): The greatest damage of rising sea-levels will be experienced by the poorest peoples of the world, 〇 A TRUE (介 BEALSE

未解決 回答数: 1