1、?1?2009?1?2009?5?2009?9?2009?13?2009?17?2009?23?2009?27?2009?31?2009?33?2009?35?2009?75?39?2009?41?2009?43?2009?47?2009?51?2009?57?2009?61?2009?65?2009?691更多物理资料加百度云 应作如是观g r h?2009?732更多物理资料加百度云 应作如是观g r h?2009?6?25?1.?2.?3.?4.?5.?x p?=|?|1.?|F|?=Tr(F)?2.?3.?=?1221132210?Hnlm=Enlnlm?1.?Lz?2.?sz?3.?
2、M=e2c(?L+2?s)?z?l=0?H=H0+Hs?H0?Hs=A?Sp?Se?Hs?H=H0+H1+H2?H0=p22e2rH1=(L2x+L2y)H2=L2y?1.?H=H0+H1?2.?n=3,l=1?m?E 0?z?x?V=2A(x)(+)?z?1.?|n?|?=?n?n|?|n?=?nCn|n?|=?m?|m?m|=?mCm?m|1更多物理资料加百度云 应作如是观g r h?2009?=?m,nCnCm|n?m|nm=CnCm?|F|?=?m,nCnCmFmn=?m,nnmFmn=Tr(F)=Tr(F)2.?2=?1,0?|?=|?1?|?=0|?|?|?=0?3.?i?t|?=
3、H|?i?t?|=?|H?t =(t|?)?|+|?(t?|)=1i?H,?i?t =H,?-?1.Lz=?Lz00Lz?Lz?=?Lzd=?2?1221132210?Lz00Lz?1221132210?d=?2?1221132210?122110?d=?4?Lz=?14?Lz=0?34?Lz?=?4?2.Sz=?2?1001?Sz?=14?2+34(?2)=?4Mz=e2c(Lz+2Sz)?Mz?=e2?Lz?+2?Sz?=e2?4?2=e?8?2更多物理资料加百度云 应作如是观g r h?2009?Hs=A2S23?22?S=?Sp+?SeS=1,0?(r,Sz)=R10(r)Y00(,)
4、SM?11=,10=12+11=,00=12?1M?M=1,0,1E1=A?24:11,10,11E0=3A?24:00?6.2?1.H1=(L2Lz)H0+H1?nlm(r,)?H0nlm(r,)=E(0)nnlm(r,),E(0)n=e22a01n2H0+H1?Enlm=E(0)n+?2l(l+1)m22.n=3,l=1?E31m=1=E(0)n+?2E31m=0=E(0)n+2?2H?=L2yLy=12i(L+L).H?=4L2+L2(L+L+LL+)=4L2+L2 2(L2L2z)?E31m=1?1=3112=311H?11=?22(2 1)=?22H?22=?22H?12=?311|
5、H?|311?=4?Y11|L2+|Y11?=?22=H?213更多物理资料加百度云 应作如是观g r h?2009?C=?22H?=C?1111?E(1)=2CE(1)=0?E(1)=2C?(0)1=?ab?H?ab?=2C?ab?(0)1=12?11?(0)1=12311 311?E(1)=0?(0)2=12311+311?=x iy,+=2x=12(x iy),+=xV=2A(x)xH=p22 2A(x)x?x=?x=0?+k2=0,k2=2E?2(x)=?eikx+reikxteikx?x=0?1+r=t?x=0?ik(t+r 1)=22A?2rT=|t|2=11+2A2E?2R=|r
6、|2=2A2E?21+2A2E?2?T?4更多物理资料加百度云 应作如是观g r h?2009?l=1?(L2,Lz)?Lx=0101010101.?Lx?2.?Ly?(L2,Lz)?m?V1(x)=12kx2?1.?a=(mk2?)1/2(x+imk p)?2.?V2(x)=kx2?V2(x)?+ex2dx=?42=1.189?Jx=12(a1a2+a2a1)Jy=i2(a2a1a1a2)Jz=i2(a1a1a2a2)ai,aj=ai,aj=0ai,aj=ij?i,j=1,2?1.?Jx,Jy,Jz?2.J2=J2x+J2y+J2z?a1,a1,a2,a2?H?p?|1?|2?H?Ej=pc
7、+m2jc42pcj=1,2m1?=m2?m1,m2?|1?|2?|e?=cos|1?+sin|2?|?=sin|1?+cos|2?t=0?|e?1.?t?|e(t)?2.?t?|e?L=4i?p|m2|c4m2=m21 m22?V(r)=V0era?V0 0a 0?1.?=ekr2a?k?2.?a=2.18 1015m?=0.83 1027kg?E=2.23 MeV?=1.05 1034JS1?k?5更多物理资料加百度云 应作如是观g r h?2009?1.a=12(Q+iP)Q=xP=p?=1?=(mk?)1/2P=iddQ?a|0?=0?Q?Q|a|0?=0?Q|Q=Q?Q|?Q|P=i
8、ddQ?ddQ0(Q)+Q0(Q)=0?0(Q)=AeQ22?0(Q)=(1)1/4eQ22?0(x)=(2)1/4e2x22?2.?(x)=(2)1/4e2x22?n(x)=Nne?2x22Hn(?x)?=(m?)1/2?=2?C0=?0|?=(2?2)1/2?e2+?22x2dx=(2?2)1/2 2?0ex2dx=23?=2+?22P0=|C0|2?1.J,J=iJ?N=N1+N2?J,N=0?2.J2=N2(N2+1)?|0?=cos|1?+sin|2?Ej=pc+m2jc42pcj=1,2?|t?=cos|1?ei?E1t+sin|2?ei?E2t6更多物理资料加百度云 应作如是观g
9、 r h?2009?t?|e?Ce(t)=?e|t?=cos4+sin4+2costsin2cos2?=m2p42?pc=2iCL?V(r)=V0era1.?|A|2?0r2ekradr=1A=(k32a3)1/2=(k32a3)1/2ekr2a?H=?22d2dr2+2rddr V0era=p2r2 V0era pr=i?(r+1r)?p2r2?=?22k32a3?0(ddr+1r)ekra2r2dr=?2k34a3?0k24a2r2+1 karekradr=?2k28a2?V?=V0k32a3?0ekrarar2dr=V0(kk+1)3?E?=?2k28a2 V0(kk+1)3?E?k=0
10、?k=24V0a2?21/4 17更多物理资料加百度云 应作如是观g r h?2009?8更多物理资料加百度云 应作如是观g r h?2009?q?(,A)?H=12(?P q?A)2+q?V(x)=(x)?0?V(x)=122(x2+y2)?Ze?nlm?r1?r2?r3?x?y?z?2?2?H0=12P2122x2?H?=x41.?2.?237?i?t=12(?P q?A)2+q(3.1)?P=i?A=?A=?A(?r,t)=(?r,t)=?i?t=12(i?q?A)2+q(3.2)?(3.1)?(3.2)t+?2i()q?A=0?=?j=i?2()q?A?t+?j=09更多物理资料加百度
11、云 应作如是观g r h?2009?j?A?H-F?1.?r1?nlm?En=Z2e22a01n2n=nr+l+1?T?nlm=12?V?nlm=Ze22?r1?nlm?V?nlm=?r1?nlm=2En=2Z2e22a01n2?r1?nlm=Za01n22.?r2?nlm?H=?221r2r(r2r)+l(l+1)?22r2Ze2rHl=(l+12)?2r2?H-F?Enll=?Hl?nlm?n=nr+l+1Enl=Enn?r2?nlm=1(l+12)n3?Za0?23.?dVdr?nlm=2?|nlm(0)|2,l=0?dVdr?nlm=l(l+1)?2?r3?nlm?r3?nlm=1l(
12、l+12)(l+1)?Za0n?3?=?c1c2?z?x?=?c1c2?0110?c1c2?=010更多物理资料加百度云 应作如是观g r h?2009?c1c2+c2c1=0?y?=?c1c2?0ii0?c1c2?=0?ic1c2+ic2c1=0?c1=0?c2=0?=?10?=?01?H?=x4?x|n?=1?n2|n 1?+?n+12|n+1?x2|n?=122?n(n 1)|n 2?+(2n+1)|n?+?(n+1)(n+2)|n+2?H?nn=?n|x4|n?=34(2n2+2n+1)?2221.?n=0E10=3?2422?E(1)1=15?2422?2.?E(1)1E(0)n?1
13、?34(2n2+2n+1)?222?(n+12)?22211更多物理资料加百度云 应作如是观g r h?2009?12更多物理资料加百度云 应作如是观g r h?2009?1.?1?2?=c11+c22?c1?c2?2.?3.c1c2?c1?=c2?c1?1+2?c11+c22?4.?H,x,Px,P2,Lx,L2,Sx5.?lx,y=i?zlx,py=i?pzlx,ly=i?lz?1.?=x iy?+,=4zz,=2?2.?A?B?(?A)(?B)=?A?B+i?(?A?B)?n(x)?En?t=0?(x,0)=130(x)+232(x)+c33(x)1.?c3?2.?t?(x,t)?3.?
14、t?m?22m(21+22)+12k|?r1?r2|2?(?r1,?r2)=E(?r1,?r2)?1/2?H=Cz+Dx?C?D?1.?2.?C?D?13更多物理资料加百度云 应作如是观g r h?2009?m?0 x a?1.?0?2.?1/2?3.?1/2?4.?1.?c1c2?2.?Lx,Ly=i?Lz?Y00(,)?3.?c1?1+2?c11+c22?4.H=P22+V(r)?H,L2,Lx,Sx?5.a)?b)?r=?r1?r2?R=m1?r1+m2?r2m1+m2=?r1+?r22M=m1+m2=2m=m2?H=P22M+p22+12kr2=HC+Hr?HC?Ec=P22M p?H
15、r?EN=(N+32)?N=2nr+l=0,1,2?1.?z?H=?CDDC?det?C EDDC E?=0?n?(,)?H=C2+D2?n=C2+D2n?tan=DC=0?E=C2+D2=C(1+D2C2)1/214更多物理资料加百度云 应作如是观g r h?2009?2.?H0=?C00C?H?=?0DD0?En=E(0)n+H?nn+?m?=n|H?mn|2E(0)n E(0)m?E1=C+D22CE2=C D22C?1.s=0?g=1(x1)2(x2)Eg=21=2 2?22a2?1?2E1=5 2?22a21=121(x1)2(x2)+2(x1)1(x2)?2.s=12?=(x1,x
16、2)(s1,s2)?=?assa?g=1(x1)2(x2)00Eg=2 2?22a2?1?2?1(1)=121(x1)2(x2)+2(x1)1(x2)001(2,3,4)=121(x1)2(x2)2(x1)1(x2)1ME1=5 2?22a2?4?3.s=12?g=1(x1)2(x2)1M(?00)Eg=2 2?22a24?E1=5 2?22a2?8?15更多物理资料加百度云 应作如是观g r h?2009?16更多物理资料加百度云 应作如是观g r h?2009?1.?Stern-Gerlach?2.?3P0?3.?4.?23P12 12S12?23P32 12S12?1.?N?+n N+e
17、+e?2.?2.5A?0.511MeV?A?A?1,2?1,2?B?B?1,2?b1,b2?1=21+3213,2=31 2213?A?a1?B?A?A?a1?m?V(x)?E=?222m?(x)=(2)14e2x22?1.?2.?3.?V(x)?4.?p p+dp?P(p)dp?0e2x22dx=2?1=Ae2x222=B(x2+bx+c)e2x22?A,B,b,c?x 0?1,2?3?D=e?r?e?0 xnexdx=n!n+1(0)?m?V=12k(x2+y2+z2+xy)?1.?2.?1.?HI=A?M?B=AgBJzg?EI=AgB?mj?mj=2,1,0,1,2?j=2?2.?3P
18、0?L=1,S=1,J=0?M=e2J+SMz=e2Jz+Sz?L=1,S=1,J=0?Mz=eB2Ms=MsB?B?Ms=1,0,1?3.?2,10,18,36,54,86?He,Ne,Ar,Kr,Xe,Rn?4.?LS?l=1,j=1,mj=0,1?1?23P12 12S12?mj=12?mj=12?2?23P32 12S12?mj=32,12,12,32?mj=12?mj=12?1?mj=12?1:1?2?mj=32?mj=12?mj=12?1:1:1:0?(2)(1)=34?23P32?23P12?23P32 23P12?3:4:1:0?13.10?18更多物理资料加百度云 应作如是观
19、g r h?2009?1:1:1:0?Amk?mk=?24mkc32BmkBmk=42e23?2|?rmk|2?1.?1.8?Emin=2mec2=1.022 MeV?max=hcEmin=0.012A?E=1eV?=1.241 104A?2.?1.14?=2.5A?Emin=hcmax=4.96 103eV?max=2.5A?=h2meEk?Ek=h22me2max=24.1 eV?1.25?A=a1?1?1=21+3213?B=b1?413B=b2?913?B=b1?1?B=b2?2?1=21+3213,2=31 2213?1?A=a1?413?1?B,A?b1,a1?413413=161
20、69?1?B=b1A=a1?913913=81169?A=a1?97169?3.6?1.?x?=0?2.?p?=0?3.?E(x)=?22d2dx2+V(x)(x)?V(x)=?242x2?4.(p)=F9x)=(12?)1/2?(x)ei?pxdx=(1?22)1/2ep22?2219更多物理资料加百度云 应作如是观g r h?2009?2.40?H1=E11,H2=E22?V(x)=E1+(2x2 1)?222?V(x)=V(x)?b=0?1|2?=0?C=12?2(x)=B(x212)e2x22?H2=E22?E2 E1=22?2=2?1?1?2?x2+bx+c=(x+b2)2+(c b
21、24)?x=b2?b24 c?2?b=0E2 E1=2?1|1?=1?|A1|2?0r2(r 2)2erdr?d=1A1=132?2|2?=1?|A2|2?0r4erdr?0cos2sind?20d=1?A2=132?1=200?2=210?=e=?=1?1,2?D=e?r?1|?D|1?=0,?2|?D|2?=0?3=121+2?3|?D|3?1|?D|2?=?2|?D|1?D!3=12?1|?D|2?+c.c?1|Dx|2?=eA2?0r4(r 2)erdr?0cossin2d?20cosd=020更多物理资料加百度云 应作如是观g r h?2009?1|Dy|2?=0,?20sind=0
22、?1|Dz|2?=eA2?0r4(r 2)erdr?0cos2sind?20d=2eA25!2 4!13 2?D!3=96eA2?ez=3e?ez?H0=p22+k2(x2+y2+z2)2=kH0|n1n2n3?=En|n1n2n3?En=(n+32)?,n=n1+n2+n3=0,1,2gn=12(n+2)(n+1)H?=xy?Eg=32?g0=1H?00=?0|x|0?0|y|0?0|0?=0H?n1n2n3=?n1|x|0?n2|y|0?n3|0?=22n11n21n30?H?110?E(2)g=24412?=284?=2?823?n=1E(0)1=5?2g1=3?|1?=|100?,|2
23、?=|010?,|3?=|001?H?H?12=H?21H?12=?1|x|0?0|y|1?0|0?=22=H?21?H?=02202200000?E(1)1=0,|3?=|001?E(1)1=22,12|1?+|2?E(1)1=22,12|1?+|2?21更多物理资料加百度云 应作如是观g r h?2009?22更多物理资料加百度云 应作如是观g r h?2009?1.?P?E?2.?3.H=p22+x4?p?4.?5.p?x?x?6.?1s,2s,2p?7.=Ap+BR?p?R?8.?9.t=0?A?t 0?A?1.?0 x a?H?=?x,0 x a20,a2 x 0?3.?H-F?4.
24、?e?B?A=(B2y,B2x,0)?B2?5.?A?B?1)(?A)(?B)=?A?B+i?(?A?B)?2)?ei?A?3)?Tr(ei?Aei?B)?23更多物理资料加百度云 应作如是观g r h?2009?H0?E(0)n=n22?22a2,n=1,2?(0)n=?2asinnxa,0 x a?E(1)1=H?11=2a?a/20 xsin2xadx=a?a/20 x(1 cos2xa)dx?xcospxdx=xpsinpx+1p2cospxE(1)1=a82(2+4)(1)1(x)=?n?=1H?n1E(0)1 E(0)n(0)n(x)H?n1=2a?a/20 xsinnxasinx
25、adxH?n1=a(1)n22n212(n2+1)(n21)2,n?(1)n12(n21)24n(n21)2,n?xsin2(x)dx=x24x4sin(2x)182cos(2x)?sin2(x)dx=x214sin(2x)?xcos(x)dx=xsin(x)+12cos(x)?x2cos(x)dx=(x223)sin(x)+2x2cos(x)?xsin(x)dx=xcos(x)+12sin(x)?x2sin(x)dx=(23x2)cos(x)+2x2sin(x)cos(m n)=(1)mn(m n)?sin(m n)2=(1)mn12sin(m+n)2=(1)m+n12=(1)mn12(1)
26、n(m n)?cos(m n)2=(1)mn2cos(m+n)2=(1)m+n2=(1)m+n2(1)n24更多物理资料加百度云 应作如是观g r h?2009?2.?=e|x|?T?=2?22=?0?ddxex?2dx=3?2?0e2xdx=2?22?V?=2 122?0 x2e2xdx=243H()=2?22+243?H=0=(3224?2)1/5?3.?H|n?=En|n?m|n?=mn?H?En=?n|H|n?En=?nHnd.En=?nHnd+?nHnd+?nHnd=En?nnd+?nHnd?nnd=1?nnd=0?En=?n|H|n?T?n=?V?n?T?n=En2=12(n+12
27、)?H=?22d2dx2+122x2En=(n+12)?En?=(n+12)?H?n=2?T?n?T?n=12(n+12)?4.?H=12(?P+e?A)2+V(r)=12(PxeB2y)2+(Py+eB2x)2+P2z+V(r)=12P2+eB2Lz+e2B28(x2+y2)+V(r)?B2?H=12P2+eB2Lz+V(r)?eB2Lz=?ML?B?ML=e?L2?25更多物理资料加百度云 应作如是观g r h?2009?H0=12P2+V(r)?nrlm=Rnrl(r)YlmEnrl?l?m?H=H0+eB2Lz?nrlm(r,)?Enrlm=Enrl+eB2m?5.?1)(?A)(?B
28、)=AB=AB+iAB=?A?B+i?(?A?B)?=+iCAB=?C (?A?B)?2.ei?A?=eiAA=cosA+iAsinA3.Tr(ei?A)=Tr(cosA+iAsinA)=2cosA?Tr=0?Tr(ei?Aei?B)=Tr(cosA+iAsinA)(cosB+iBsinB)=TrcosAcosB+iAsinAcosB+iBsinB cosA ABsinAsinB=2cosAcosB sinAsinBTr(?A)(?B)=2cosAcosB 2?A?B sinAsinB26更多物理资料加百度云 应作如是观g r h?2009?1.?=13310?23211?L2?Lz?2.?3
29、.?M?a?M?1)?2)?3)?M?V(x)=V0,0 x a0,a x 2a,x 2a?m?t=0?(x,0)=120+11)?t?2)x(t)?3)d2dx2 x?=Aerar?a?1)?A?2)?g?s1?s2?L S?1.En=(n+32)?n=nx+ny+nz=0,1,2?n(x,y,z)=nx(x)ny(y)nz(z)?EN=(N+32)?N=2nr+l=0,1,2N(r,)=Rnrl(r)Ylm(,)27更多物理资料加百度云 应作如是观g r h?2009?2.gn=12(n+2)(n+1)gN=12(N+2)(N+1)3.n(x,y,z)?n?n?N(r,)?N?l?N?l?
30、H0?E(0)n=n22?28a2,n=1,2?(0)n=?1asinnx2a,0 x 2a?H?=V00 x aE(1)n=H?nn=V0a?a0sin2nx2adx=V02a?a0(1 cosnxa)dx=V02?xsin2(x)dx=x24x4sin(2x)182cos(2x)?sin2(x)dx=x214sin(2x)?n=1?H?m1=V0a?a0sinmx2asinx2adx=V02a?a0cos(m 1)x2a cos(m+1)x2adx=V01m 1sin(m 1)21m+1sin(m+1)2?m=2k+1k=1,2?H?m1=0?m=2kk=1,2?H?2k,1=4kV0(4
31、k21)(1)k+1?E(2)1=128a2V202?2?k=1k2(4k2 1)3(1)1=128a2V202?2?k=1H?2k,1E(0)1 E(0)2k(0)2k?n=1,2,3?H?mn=V0a?a0sinmx2asinnx2adx=V02a?a0cos(m n)x2a cos(m+n)x2adx=V01m nsin(m n)21m+nsin(m+n)228更多物理资料加百度云 应作如是观g r h?2009?m n?H?mn=0m n?H?mn=V0(1)mn12(1)nm+n1m n=?2V0(1)mn12nn2m2,m?n?2V0(1)mn12mn2m2,m?n?(1)1=16
32、a2V0mn3?2?mweiqi(1)mn12(n2m2)2?1asinm2ax,(n?)16a2V0m3?2?mweiou(1)mn12(n2m2)2 m?1asinm2ax,(n?)E(2)1=?m?=n|H?mn|2E(0)n E(0)m=32a2V204?2?mweiqin2(n2m2)3,(n?)?mweioum2(n2m2)3,(n?)?1.(x,t)=12eit20+1eit?2.x(t)=12?0+1eitx0+1eitdx?x0=121x1=120+12 x(t)=1212eit+12eit=12cost3.d2dt2 x=22cost?ddt x=1i?x,H=pd2dt2
33、 x=1ddt p?=0?1.A=(1a3)1/2?29更多物理资料加百度云 应作如是观g r h?2009?2.H=p22e2r+g?s1?s2(r,sz)=(1a3)1/2era000(?1M)?00=12?g?s1?s2=g2S232?2?ES=?3g4?2,00g4?2,1M30更多物理资料加百度云 应作如是观g r h?2009?0 x a?Ylm?a)LxLy?b)(Lx)2(Ly)2?c)LxLyL2x?x?L?(L2)=(L2)?1)En?n?2)?V(x)=cosqxq=2NLN?p=q2?V(x)=?0,0 x L,x L?t=0?(x)=?30L5x(L x),0 x L
34、0,x L?t?(t)?B(x)?H=eBsxt=0?sz=?2?t 0?s?t?1(x)=?2asinxa0 x a?1(p)=F1(x)=?12?1/2?1(x)ei?pxdx=?a?1/22cospa2?(pa?)2 2ei?pa2?|1?=|1?a)Lx=Ly=0?b)(Lx)2=(Ly)2=?22l(l+1)m2;c)L2x=?22l(l+1)m2LxLy=im?22?6.25?31更多物理资料加百度云 应作如是观g r h?2009?1.H0=p22?E(0)n=22?2L2n2,n=1,2?k(x)=1Leikxk=2Lngn=2?2.?N?q2=NL?1(x)=?2Lcosqx
35、22(x)=?2Lsinqx2?H?=cosqx?H?=?2002?E(1)=2?32更多物理资料加百度云 应作如是观g r h?2009?m?a?t=0?(x)=4asinxacos2 xa?1.t=0?2.t 0?(x,t)?3.t 0?1.?x,ei?a px?2.?ei?sx syei?sx=sy?|n?1.?(x)2(p)2?1/2?x=x xp=p p?2.?m270me?s=12?H=A?S1?S2?1?2?t 0?1.?(t)?2.?1?3.?1,2?4.?S=1S=0?(x)=Asinxa+sin3xa=121(x)+3(x)1.t=0E=E1,E3?1/2En=n22?22
36、a2?2.(x,t)=121(x)ei?E1t+3(x)ei?E3t?3.?H?E(t)=E(0)=122?22a2+92?22a2=52?22a2?1.?x,f(p)=i?f?(p)x,ei?a px=i?(i?)aei?a px=aei?a px?2.?B H?eABeA=B+A,B+22!A,A,B+?sx,sy=i?sz sx,sz=i?sy?ei?sx syei?sx=sy33更多物理资料加百度云 应作如是观g r h?2009?ei?sx syei?sx=sycos+szsin?=cos=1sin=0?1.?x|n?=1?n2|n 1?+?n+12|n+1?ddx|n?=?n2|n
37、 1?n+12|n+1?x=p=0 x2=1222n+1p2=?2222n+1(x)2(p)21/2=?22n+1?2.?n=0?x p=?2?5.13?E=mc2t?E=?mc2?=ct=?mc 1.5 105m?1015m?34更多物理资料加百度云 应作如是观g r h?2009?1.?2.?3.?4.?5.?V(x)=?V0,|x|a0,|x|a?0 E a?k?2=0k?2=2(V0 E)?2 0?=?Aek?x,x aBek?x,x 0=C coskx?x=a?(ln)?ktanka=k?=ka=k?a?=tan2+2=2V0?2a2?B)?|x|?2?r,H=i?p?p?=0?T?
38、1s=E1=e22a0?p2?=?2a20?H0=p22Ze2rE(0)n=Z2e22a01n2(0)nlm=Rnl(r)Ylmgn=n2H?=e2r?nlm|H?|nl?m?=?nl|H?|nl?lm|l?m?=e2?nl|1r|nl?ll?mm?E(0)n?n2?H?E(1)n=e2?nl|1r|nl?=Ze2n2a0?1r=Zn2a0.?1.H=p212Ze2r1+p222Ze2r2+e2r12=H0(1)+H0(2)+e2r1237更多物理资料加百度云 应作如是观g r h?2009?2.H0(i)?n=Z2e22a01n2,nlm(?r)=Rnl(r)Ylm(,)3.?g=3a30e
39、xpa0(r1+r2)=u1()u2()?1s=(Z3a30)1/2eZa0r1?H=H0()(Z )e2r1+(Z )e2r2+e2r124.?E()?g()?1)?H0()?=2e22a0 2?2)?u()?V?n=2En e2r!u()=2e2a0?(Z )e2r?u()=Z?e2r?u()=(Z )e2a03)?e2r12?g()=12(a0)6?e2a0(r1+r2)e2r12d1d2?e2a0(r1+r2)e2r12d1d2=5285?e2r12?g()=5e28a0?H()?=e2a02 2e2a0(Z )+5e28a0?H()?=0?=Z 516?38更多物理资料加百度云 应作
40、如是观g r h?2009?75?1.?2.?3.?F?4.?5.?6.?7.?=u(x)ei?Et+v(x)ei?Et=u(x)eixi?E1t+v(x)eixi?E2t=u(x)eixi?Et+v(x)eixi?Et?0 x 0?1.?s?l=0?2.?s?3.?s?x=?x 0?v(x)=v0?v0 0?E V0?1.?2.?3.?12?S1,S2,S3?H=AS1 S2+BS2 S3+BS3 S1?1.?2.?3.?=1?i?1t=(?222+V)143更多物理资料加百度云 应作如是观g r h?2009?i?2t=(?222+V)2?=c11+c22?c1?c2?i?t=i?c11t
41、+c22t=c1H1+c2H2=H?c1?c2?2.?3.?F|n?=fn|n?n=1,2,f?m|n?=mn?F|f?=f|f?f?f?|f?=(f f?)?1.A=?5122.(x,t)=eit2130+12eit1+?512e2it23.E(t)=E(0)=13?2+143?2+5125?2=19?12?1.l?221r2ddr(r2ddr)R+l(l+1)?22r2R=ER?jl(kr)nl(kr)k2=2E?2 0?s?l=0?R?(r)+2rR?(r)+k2R=0?j0(kr)?n0(kr)?j0(0)rln0(0)r(l+1)?j0(kr)Csinkrr=Breikr eikr?
42、R(r)=uru(0)=0u?(r)+k2u(r)=0?eikr0(r)=?Aeikr=f1(r)?Aeikr=f2(r)?44更多物理资料加百度云 应作如是观g r h?2009?J=i?2 c.c?J1=i?21reikr(1reikr)c.c=?kr2?er?J2=?kr2?er?H=A?S1?S2+B(?S1+?S2)?S3?=1?S?=?S1+?S2S?=1,0?S1?S2=12S?232?S=?S?+?S3S=?32,12,S?=112,S?=0?(?S1+?S2)?S3=12S2S?234H=B2S2+A B2S?23A43B8?H,S2,Sz,S?2?ESS?=B2S(S+1)
43、+A B2S?(S?+1)3(2A+B)8?H?S?=1S=32MS=32,12?&32,32?=|1,1?&12,12?=|,?|?S=S?+S3?&32,12?=13|1,0?&12,12?+|1,1?&12,12?|1,0?=12|?|?+|?|?&32,12?=12|?+|?+|?&32,12?=132|1,0?&12,12?+|1,1?&12,12?&32,32?=|1,1?&12,12?=|?S?=1S=12MS=12?&12,12?=A|1,0?&12,12?+B|1,1?&12,12?45更多物理资料加百度云 应作如是观g r h?2009?32,12&12,12?=0?23A
44、+13B=0=B=2A?A2+B2=1=A2(1+2)=1A=13,B=?23?&12,12?=13|1,0?&12,12?2|1,1?&12,12?&12,12?=13|1,0?&12,12?2|1,1?&12,12?S?=0S=12MS=12&12,12?2=|0,0?&12,12?=12|?|?&32,12?&12,12?&12,12?2=|0,0?&12,12?=12|?|?46更多物理资料加百度云 应作如是观g r h?2009?1.?2.?3.?4.?i?t=H?5.?L?p?6.?7.?V(x)?8.?9.?3p3s?D1?D2?D1?D2?10.V(r)=e2sr a0e2sr
45、?1.?2.?H0?E0=?a|H0|a?=?b|H0|b?=?c|H0|c?a|H0|b?=?b|H0|c?=?a|H0|c?=?01.?E?2.?z?a?E0 b,c?a?E?s=1/2?+?z?B0?t 0?B1(t)=B1(cos20t?e1 sin20t?e2)?0=0B0?1.?H=L2z2IEm=m2?22I,m=0,1,2m()=12eim?2.?H=L22IEl=l(l+1)?22I,l=0,1,2lm(,)=Ylm(,)|m|lgl=2l+1?47更多物理资料加百度云 应作如是观g r h?2009?8.27?1.H0=E0E0E0,?|a?,|b?,|c?det(H0 E
46、)=0?E=E0 2,E0+,E0+2.?H?a|H?|a?=?H=H0+H?=E0 E0E0?det(H E)=0E=E0+,E0=+21292 2+2?E=E0+,E0+23,E0 2 13?6.29?H=?B0+?B1(t)?=0?z?H=0?B0B1e2i0tB1e2i0tB0?(t)=?a(t)b(t)?i?ddt(t)=H(t)a(t)=i0a(t)+i1b(t)e2i0tb(t)=i0b(t)+i1a(t)e2i0t?0=0B0?,1=0B1?a(t)=c1(t)ei0tb(t)=c2(t)ei0t?c1(t)=i1c2(t)c2(t)=i1c1(t)?c1(0)=1,c2(0)
47、=0?ddt(c1+c2)=i1(c1+c2)ddt(c1 c2)=i1(c1 c2)48更多物理资料加百度云 应作如是观g r h?2009?c1+c2=ei1t,c1 c2=ei1t?c1=cos1tc2=isin1t?(t)=?cos1tei0tisin1tei0t?t=21=iei0t?01?49更多物理资料加百度云 应作如是观g r h?2009?50更多物理资料加百度云 应作如是观g r h?2009?xoy?I1.?2.?t=0?Asin2?t?1.?z?2?x?2.?x?z?H=J?s1?s2?1.?2.?z?B?3.?B?2P1/2?z?1.?2.?(,)?3.?z?B?4.
48、?2P1/2?x y?e24zz?1.?2.?3.?4.?z?1.H=L2z2IEm=m2?22I,m=0,1,2m()=12eim2.(0)=A21 cos2=A21 12ei212ei2?(0)=1620 2 251更多物理资料加百度云 应作如是观g r h?2009?(t)=1620ei?E0t(2+2)ei?E2t=1620()(2+2)e2?It?s=12?|?=?10?z?1.|?=c1|x?+c2|x?|x?=12?11?,|x?=12?11?x?sx=?2?|?x|?|2=12?sy=?2?|?x|?|2=12?2.n?n?(,)?|n=1?=?cos2ei2sin2ei2?,
49、|n=1?=?sin2ei2cos2ei2?|?sn=?2?|?n=1|?|2=cos2 2?sn=?2?|?n=1|?|2=sin2 2?s=1/2?1.H=J2S232?2?S=?s1+?s2S=1,0?ES=J?22S(S+1)32=?J?24,S=13J?24,S=0?ES=1=J?24?|11?=|?,|10?=12|?+|?,|1 1?=|?ES=0=3J?24|00?=12|?|?2.?B?HI=?Ms?B?Ms=e?SH=J2S232?2+eBSz52更多物理资料加百度云 应作如是观g r h?2009?H,S2,Sz?ESM=J?22S(S+1)32+eB?M?S2,Sz?|
50、SM?E11=J?24+eB?,E10=J?24,E11=J?24eB?,E00=3J?243.?eB?J?2?B J?e?E11 3J?24 E00?|1 1?j2=12C-G?(nljmj)=(211212)nljmj=R21(r)11212(,sz)?-?j2=12?C-G?ljmj=?12l+1?1/2?(l m)1/2Ylm(l+m+1)1/2Ylm+1?mj=m+12?11212=13?Y102Y11?1.?=?12?=13R21(r)?Y102Y11?|?P()=?|?|?d=?|?|?|2d=?11d=23?j2=12?C-G?j1=1,j2=12?a)j=l+12,l 12=
