sinkl=0IIn元V(x)k=(n=0,±1,±2,...n±0n=-1与n=1Samestate10xn元=Bsinx22n元By(x)dx=7dx=l normalizatioKsin2n'h?n元n =1, 2, 3, ...E=sinX8ml2WaveFunctionParticleenergy
y()12y (a)1=4E=16E,n=3E=9En=2E,=4E,h+n=1E8ml0xxn'h?E=n =1, 2, 3..8ml2n'h?(2n+1)h2(n+l)"h2AE=En+1 -E,8ml28ml28ml2
In one dimentional:h22TXE,sinn=1u8ml21122元X4h2sinE2n=22718ml?9h?23n=3E3sin8ml21
In one dimentional:
cCcCCCCCHE元41II4/9E1/9E31111BAh?A:E.=4E.= 48ml2h?22 h2h?8h?2 10B :E+ 2E= 29 8ml29 8ml298m(31)28m(31)2
C C C C C C C C E 1 4/9 E 1 1/9 E 1 4 4 l l l 3 l 2 1 2 4 4 8 a h E E ml 2 2 2 2 2 2 2 2 2 1 2 2 8 10 2 2 8 (3 ) 8 (3 ) 9 8 9 8 9 b h h h h E E m l m l ml ml A B A : B :
Quiz:CH=CHCH=NR2xi+x=b0X福a = 247.8pmb=561.4pm?2k?1?2?3
Quiz: ? k 1 ? 2 ? 3 ?