3. ? ?Z?￥s? T ¨ Greenf ?ZE p3 SchroedingerZ? ? ?Z? () () () 2 2 2 Vr r E rψψ μ ?? ??+ = ?? ?? K = KKK  7 2 2 2 E k μ = =  () () 2 2 Ur Vr μ = K K =  μ ()() () () ( ) () () 22 3 krUrr dr r r U r r ψψ δψ ?+ = ′′′=? ∫ K KKK ′ K KKKK V ü ??÷ ^?÷ ￥sb ()Ur G (rrδ ? GG ') ') ) 5 p3?÷ ?￥? ?Z? (rrδ ? GG ()()( 22 , r kGrr rrδ′′?+ = ? K KK KK  31 Greenf ? () 1 , 4 ik r r e Grr rrπ ′? ′ =? ′? KK KK KK b y1 ()() ( ) ( )()() ()() () ( ) 22 3 22 22 3 , , r r krdrUrr kGr kdrUr rGrr ψψ ψ ′′ ′ ′?+ = ?+ ′′ ′ ′=?+ ∫ ∫ KKKKK K K KKKK  ?[? ?Z?￥B?+31 () () () ( ) 3 ,rdrUrrGrrψψ′′ ′ ′= ∫ KKKKK b ??? ?Z??￥ QZ? í÷Z? ()() 22(0) 0krψ?+ = K K ￥3 V |1 () (0) ik r rAeψ ? = G G K  #? ?Z? d QZ?￥Y31 () ( ) ( ) ( ) 3 , ik r rAe drUr rGrrψψ ? ′′ ′ ′=+ ∫ G G KKKKK b ? ^B?1? ()rψ K ￥sZ? Lippman SchwingerZ? D? ?Z?￥±s? T? ?? Nb 1 sZ?μ a? 1H?HqXcZ?? 2 V¨Y}E p3b 4. B) Borní ? ? ] ? ^B? D ]sZ? ,¨3 V |1 ()Vr K () () 0 ik r rAeψ ? = G G K  B)í ? () () ( ) () () ( ) 103 , ik r rAe drUr rGrrψψ ? ′′ ′ ′=+ ∫ G G KKKKK ?? ] ? ￥μr u×μK? Hμ ()Vr′ K r →∞ rr′ KK   ()() 1/2 1/2 2 22 2 21 rr rr rr rr r r rr r r ′′?? ?? ′′ ′′?= ? = + ?? ? ? ?? ?? K KK KKKK KK  K () () () 1 3' 1 4 rrikr ik ik r ik r r e rr Ae A dre Ure r ψ π ′? ? ?? ′′→∞ ? ∫ K K GG ?iMê? 'rr? GG  =?B)í ?s ? 'rr? G G o ?? ,)b DSvé3 () ( ) , ikr ik r e rAe Af r ψ θ ? ? =+ G G K 1?¤ () () 3' 1 , 4 rr ik ik r r f dre U r eθ? π ′? ? ? ′′=? ∫ K K G G KK 7 r kk r ′ = K K  5 () () () 3 1 , 4 ik k r f dre U rθ? π ′′?? ′′=? ∫ KK K b k OverRVectorOverArrowVectExt q OverRVectorOverArrowVectExt Equalk OverRVectorOverArrowVectExt 'Minusk OverRVectorOverArrowVectExt k OverRVectorOverArrowVectExt 'Equalk r OverRVector FractionBarExtFractionBarExtFractionBarExtFractionBarExtFractionBarExt r Θ 2 ?? ? ?  ? o O k?l MêμrMoT¨S? = V A?B?è ? 4? s|? í D σ () () 3 1 , 4 f drU rθ? π ′′=? ∫ KK b a è5? ? ?  ] 0 , () 0, Vr Vr ra ≤ ? = ? > ? () () 3300 22 14 , 422 ra VV 3 f drU r dr a μμ θ ? π πππ ≤ =? =? =? ∫∫ GKK ==  2 3 2 0 2 2 (, ) (, ) 3 Va f μ σθ? θ? ?? == ?? ?? = 9? ? 2 3 0 2 2 (, ) 4 3 tot Va d μ σσθ? π ?? =?= ?? ?? ∫ = b ?ú ? ?  ?T1?? ]?  () ()Vr Vr= K () () 2 2c 000 1 ,'sin 4 iqr fdrUrdd ππ θ θ? θ θ ? π ∞ ′′? ′′ ′ ′ ′=? ∫∫∫ os e () () 2 12 'sin 'sindr U r r qr dr V r r qr qq μ ∞∞ ′′′ ′′=? =? = ′ ? q ^ ￥f ? θ () 22 2 22 2 cos 2 1 cos 4 sin 2 sin 22 qkk k k k k k k θθ θθ′′′=? = + ? = ? = = KK b ±s ?? ? () () 2 fσθ θ= b ?i P¨ Borní ?￥Hq ^ D ] ? b 5. Born) ? Lippman SchwingerZ? () ( ) ()() (0) 3 () ,rrdrGrUrrψψ ψ′′′=+ ∫ GKKKK ′b ,)í ? (0) ()rψ G B)í ? () ( ) () () (1) (0) 3 (0) () ,rrdrGrUrrψψ ψ′′′=+ ∫ GKKKK ′ K 3 =)í ? () ( ) () () ( )() ( )() () ()()() ()() (2) (0) 3 (1) (0) 3 (0) 3 (0) (0) 3 (0) 33 () , ( ) , ( ') " ', " " " ( ) , " , ', rrdrGrUrr rdrGrrUr r drGrrUr r rdrGrrUr r drdr Grr U r Gr ψψ ψ ψψ ′′′ ′=+ ψ ? ? ′′′=+ + ? ? ′′′ ′=+ ′′′+ ∫ ∫∫ ∫ GKKKKK GGK KK K K KK K K G KKKKK KKKKKK ( )() () (0) "" "rUr rψ ∫ KKK  ?) ?Z 7 V[¨/ ?￥m? ?V U Ψ Ψ 0 Ψ 0 Ψ 0 VV V G G G PlusPlusPlus ...... Equal Greenf ? ^.lf ?b 4