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1、1. 解：（1）eVEeVEeVEeVEeVnnnhnkmeEn85. 046 .135 . 136 .134 . 326 .136 .136 .131017. 2)1063. 6()109(1)106 . 1 (1011. 914. 3222423221221834229219312222242其能级图如下：（2）)(1057. 11063. 6106 . 1)85. 05 . 1 (14341934min31minHzhEEvEEhv2.解：（1）)(59. 153. 033412. 24253. 053. 053. 0)(1053. 01091)106 . 1 (1011. 94)106
2、3. 6(40111210122010 2102921931223422222AAAAnmnnkmehnnQ（2）)(2 .10)4 . 3(6 .1321eVEEE3.解：071331072332077198341221212112211027)6 .13()5 . 1(1043.126542)4 . 3()5 . 1(1043.12121910219. 12 .101043.12106 . 1)6 .13()4 . 3(1031063. 6AEEhcAEEhcAEEhccvEEhv即：Q4.解：KmmCtClAttClHHHh1)(10551061063281632810611010010
3、00 5.解：证毕。辐射为主故：此时内振荡以受激即：时，依题意知，当则为多个模内的光子数为模数，而光子数为其中212121212121212133321321212121221221211)(1)()()(8)(8)(nnAu Annhvnuhvnuhvu chvnhvnuchvu AAnn nnvvvvvvvvvvQ6.解：)( 1 . 0718. 2ln0ln1)2()366. 0)01. 01 ()1 ()(:(368. 0110010,01. 0)() 1 (10100220110001. 001)(0),(cmIIeeIIoreeeIImmcmmmveIIv zvQ7.解：)(105
4、1. 21031063. 6100001)(1003. 51031063. 6101011188341011983461snsnhcpnhcnnhvpQ8.解：0101425148108 . 43001038. 11011031063. 619995. 01108 . 43001038. 11030001063. 6) 1 (2148481223683400048. 000048. 01242363412eennkThceennkThveennkThc kThv时，当；时，当Q（2）)(1026. 610ln10413.14)1 . 0 1ln(1038. 11011031063. 6lnln
5、ln3323683421211212KnnkhcTnn kThc nn kThcennkThc当Q9解：334193212133321211063. 68108188 hBAAh chv BA即：Q)(1033. 3103101010)()(),(1030. 11)(1071. 7)106 . 0(10665. 1)4(1030. 11)(1071. 7)1060(10665. 1)3(1030. 11)(1071. 7)10600(10665. 1)2(1030. 11)(1071. 7)106(10665. 1) 1 (117861921211541143613421931836133216215361322131123613121scIBcuIuBsAsAsAsAsAsAsAsAvvvQ又
