• 2022-06-17
    粒子被一维势垒 [tex=11.571x2.786]Bg/kvthNf40E2aX4J93stDC/+3Hptuv0UCyyF8AMh4WtK0iozqAHXwka0+iHyQ9SycRcY7YxU9wm1gN/uwgzLvykyYkAphBMrjGBG33sP+9jUcEJ2kpQqhi3pvsbTur4[/tex] 散射. 当粒子的能量 [tex=2.5x1.214]w+7qv64zZaBhQlwNKR0FFA==[/tex] 时, 有一半粒子被反射回去, 求粒子的质量所满足的方程.
  • 解: 设入射粒子的能量 [tex=3.286x1.214]J01/teY4EwjSlooNAOfj5s7J8tJ87m07Hmn8I2IMxmw=[/tex] 粒子沿 [tex=0.571x0.786]ZKO2xs0EgSemzoH7MSmYTA==[/tex] 轴由一\infty处向势垒入射. 令[tex=15.214x2.786]XCV++9+J+xp/HhY9FlHtw2RSIGKSIhDrmYt1ARO+xlPBb0s+Ir2gv5w283YBCUNqX+QS4CJmPmzPBWy/7G1erbeiSc0swVVzvKNBsVNtgJz4ge+i5eMM3dRoBiOVbpb2c4r65c9Bm0j7j/jTevucQQ==[/tex]粒子的波函数为[tex=17.214x4.929]CeOWlpLvH8Qhk/RmfIvBHc0DtoELdjXK+Y3klStJ5W5xuIKj7YDVU5hC8VyJfk/9xdOSZyj+sWF7ZcOVaHdyv81JSoGZbm1vjGNN9uqLobb3dttF6PwpO0ilx1yVoiLAfdyRGxzClLmBX+gm+5J/qdDOJI1tGKJlg3W3tzpcaeTNmcCdFDjeVVKEZGBHmOGMVJSORsiO+Fgp9zwiuNyggkeb3dEws4PP56GlmnnOMq5PWfY5Yx5c3bW8H1/6cGsBofpzSMEp2OXXt+gmIS6dOMaqEOC6++BaHKFxSQrHDJA6rfYK6/JLvIh4iFVWCcGi[/tex]利用边界条件[tex=14.214x2.857]A8w6cunBQE3xWY1ytuxX+5Nc98zU/aJbggLegEyiQYYVNLKDp1Z+i90vyKGEHIQsGOGJRjekU0oriGPSbhLm1ssA9zLz2XX3P0BNgF9/GuaTTXWwSIbA3c20ib07j3tCANTQD5Btpa2jfGd9pZBeHRYvaSYhv3UtB1271xw9B/rBboFGmULjYbeLpTwLRHkBsv10ttpjzIP2a6KJHJuqk6PEQxm3arDMXuZO8wt/s8c=[/tex]可以得到系数 [tex=2.929x1.0]TeejYm/HYkSLTVaEG8nm0w==[/tex] 的 [tex=0.5x1.0]2IRxdDa5OUp8cccgqlpdUA==[/tex] 个方程, 并解出 [tex=1.071x1.214]Z1fL+zPzJRZmzCVDSrV7Gg==[/tex] 反射率[tex=17.929x3.143]UROSadfqfmQSad1bgSJHDu2229ggwuEoR4in8UKLgCKIOY6yqczb/NIZADb0QSHd4zPa0kjUXM+jliuGSs818lXAshwAHb8iSPpspX2l4a3nAA51Z7JUjOm/AH4y2BbX9mxsL4mU7tV2IHU2N7YlWq4G9W0sEz0RKHWSwF2qDFEkTQr/00auwdXmuMceKvzsFroqWAbJ5AgDMSklVQN0mw==[/tex]当 [tex=2.714x1.214]Qv0+TNZypprDUaY3/+6VQsNoFJRH0NjF87mT8v36RCA=[/tex] 时, [tex=2.429x1.0]2intkTn79jD3CI0Od/AYSpWM1UIwrUDNUArUOLP8p1Q=[/tex][tex=22.714x6.357]SMCiZCjCLMG8LLJWa9iOzJv2gZBRhm/WUsZ+yzDr6UH7+QNyKInyVgdV86wRTmBPH1XN2jRJsYxfdHKWjBMF3tAMe/D+Hu6W5YNuqvBhpyZC/wXIyBCl9V2k6n8HQs6EJ2sZXd0uD+V8ru4a4gb6H1PyStmSUvK8QLWfCfKI0qQgmA2EVm/EQm30PMSGv0lgXNHIDacBQpRpt+h6hU7L5NYvmSGlcIuHSLX/dS22TOxj0Sn/NQRQ7cwU0wPlzhcJgFnCi4Zmr6mQN7i1w6JWgB2Ow4wxAeL09eYUvbkGO2fKXovIp36qZrWePK+YiUshNbxO8kAoCyOiHEhJH+nGYyhGKWQuG9j3xTniVRriBx+CQT9SfLBdYQy9VADTv9ASYogxVJb1/fReMGvFThpZZHL+fhtxcDZAf+rZSF9lGRUkO2ThheejXls/ZUlKm0bRJu0iVdKNDsJ0qn4fPD9fyhL/uoZu0T0UO2pnUx/pHXw=[/tex]在上式中已将 [tex=4.214x2.429]svdYUPdHQigzuwMkdmjpG2aYXSrhbNNyiy8VBmywXk2OgJpEacnpTCdiqdf+ilwT[/tex] 代入.根据题意,[tex=9.214x2.714]QnMp2RpaUkKezHzPviiYCID4QSOsu1bmxt87t2ALIM16sz9XtnFFdMJqIXObUetvT30UZMBY7wxaAgaE/yDaBJR6Cvi4eaHylvEkA62YxIw=[/tex]这就是质量 [tex=0.643x1.0]hK6dRoCn+OGpoJ7dSqNW4g==[/tex] 满足的方程. 由此方程解得[tex=6.143x2.643]02IXMXiiEDvYIIPpmqDUKEc3d7t0mMioNdFXYANYEPm2v24w2EP5aRZpcX1mi+ms[/tex]

    内容

    • 0

      以下程序段实现的输出是()。for(i=0;i<;=9;i++)s[i]=i;for(i=9;i>;=0;i--)printf("%2d",s[i]);[/i][/i] A: 9 7 5 3 1 B: 1 3 5 7 9 C: 9 8 7 6 5 4 3 2 1 0 D: 0 1 2 3 4 5 6 7 8 9

    • 1

      下面是图的拓扑排序的是?(多选)&#91;img src="https://i1.chinesemooc.org/course/formula/201610/eb69927aaf8baae83211ee3fadf836e7.png"&#93; A: 2 8 0 7 1 3 5 6 4 9 10 11 12 B: 2 8 7 0 6 9 11 12 10 1 3 5 4 C: 8 2 7 3 0 6 1 5 4 9 10 11 12 D: 8 2 7 0 6 9 10 11 12 1 3 5 4

    • 2

      设DES加密算法中的一个S盒为: 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 0 1 2 3 14 4 13 1 2 15 11 8 3 10 6 12 5 9 0 7 0 15 7 4 14 2 13 1 10 6 12 11 9 5 3 8 4 1 14 8 13 6 2 11 15 12 9 7 3 10 5 0 15 12 8 2 4 9 1 7 5 11 A: 1010 B: 0001 C: 1011 D: 0111

    • 3

      下面是图的拓扑排序的是?(多选)[img=340x240]1802faef6ebcc2a.png[/img] A: 2 8 0 7 1 3 5 6 4 9 10 11 12 B: 2 8 7 0 6 9 11 12 10 1 3 5 4 C: 8 2 7 3 0 6 1 5 4 9 10 11 12 D: 8 2 7 0 6 9 10 11 12 1 3 5 4

    • 4

      当执行下面的语句定义一维数组a后,此数组的所有元素为 ( ) inta[10]; A.a[1],a[2],a[3],a[4],a[5],a[6],a[8],a[9],a[10],a[10] B.a[0],a[1],a[2],a[3],a[4],a[5],a[6],a[7],a[8],a[9] C.a[0],a[2],a[3],a[4],a[5],a[6],a[7],a[8],a[9],a[10] D.a[1],a[2],a [3],a[4],a [5],a [9],a [7],a [8],a [9],a [10],a [11]