改變物理學思想的八個方程

序言 ············································································I
一、天上與地下力的統一—牛頓的萬有引力方程 ··················1
1. 光榮從黑暗中迅速生長 ···········································3
2. 哲學家笛卡兒 ·····················································16
3. 天空立法者—開普勒 ··········································19
4. 牛頓和萬有引力定律的建立 ····································37
5. 萬有引力定律是普適的嗎？ ····································44

二、電和磁的轉換—麥克斯韋方程組 ·······························54
1. 一位喜愛哲學沉思的物理學家 ·································56
2. 電學中的牛頓—安培 ··········································59
3. 物理學基礎中最深刻的變化 ····································61
4.“上帝的神來之筆” ·············································68

三、量子力學的基石—普朗克方程 ··································85
1. 紫外災難的出現···················································85
2. 愛因斯坦使普朗克坐立不安 ····································94

四、引力的幾何語言—廣義相對論方程 ··························101
1.“我一生最愉快的思想” ······································102
2.“宇宙新理論和牛頓觀念破產” ·····························108
3. 廣義相對論方程比愛因斯坦更聰明 ··························112

五、矩陣力學的誕生—非對易方程 ································120
1. 走進物理學殿堂·················································122
2. 玻爾節上遇玻爾·················································125
3. 差一點得不到博士學位 ········································131
4. 哥本哈根之行，靈感突發 ·····································133
5. 量子力學的新形式 ··············································136

六、波動力學的提名—薛定諤方程 ································145
1. 維也納大學出來的物理學家 ··································146
2. 機遇找到了薛定諤 ··············································150
3. 驚喜和詛咒並存·················································155
4. 薛定諤方程比薛定諤還聰明！ ·······························160

七、發現負能量—狄拉克方程 ·····································164
1. 狄拉克青少年時期 ··············································166
2. 劍橋大學的研究生 ··············································168
3. 初顯身手，氣象不凡 ···········································170
4. 狄拉克方程第一個意想不到的禮物—自旋 ··············174
5. 狄拉克方程的第二個意想不到的禮物—反粒子 ········180

八、相互作用的統一—楊 - 米爾斯場方程 ·······················184
1. 守恆和不變性之間的關係：諾特定律 ·······················186
2. 布魯克海文實驗室“十分不同的”感受 ····················189
3. 規範不變性和走火入魔 ········································190
4. 友誼、困難和輝煌 ··············································195
5. 希格斯和對稱性自發破缺 ·····································200

九、數學與物理的分與合—方程式何以比物理學家聰明？ ·····208

參考書目 ·············································222