Диссертация (1097858), страница 6

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FxYRyG %5E % %5E )5'DA?  %@% B<' ε (Q, ω) F4#/G P % ):' %' -95%&@' (<' ]!00^_%7: 56)%6 -56 )56? %8' -'A' )-6%.& %E )'-D 5%%6 ρ(r, t) 5-% )@%6 %%%DA % ρ(r, t) = e ρ(r)e E ?- H P ?56@% -DA? 95% &-E &% &%% ω -, 9@? ΔE = E − E H56 ρ(r) = δ(r − r )E ?- r P -.% -@DA? 95%E -5' 7%, -95%&, (< F4# G )56%%bs−iH0 t0s(e)0iH0 t00!!-ε−1(Q, z, z ; ω) = Θ(z) δ(z − |z |)Θ(z0 )−−Qz2e[δ(z )Θ(z0) − κ(Q, z ; ω)Θ(−z0)]1 + εs (Q, ω)+Θ(−z) [κ(Q, z + z ; ω) + κ(Q, z − z ; ω)]Θ(−z0)+F4#0G2ν−(Q, z; ω)[δ(z )Θ(z0) − κ(Q, z ; ω)Θ(−z0)] ,1 + εs (Q, ω)?-∞κ(Q, z; ω) =−∞F4#2Gdqz eiqz z.2π εb(q, ω)5-% %%%6E &% 7%' -95%&' (<' F4#0G )% %%?E -%' 5 5%DA, 95% % Fz < 0G 5 Fz > 0G;00 *.+ !'% $- ) 75 )%: %- ' -95%&? %5@ :8-? 95%? ?) 8 )%6 758 5&,:() Fdec P UfWiVX [jfZQ f[[UV…kXfTkVWG ]!02^ 7b' -95%&'(<' ε : 7:5 5& -? %- -- ]!0=^5' 5&' 57&? 7)<E )5'DA? %56 5 @%%E &6 5) %%& 5- 7:5 :5 6D ]!00^ %5 75 -95%&? %5 57@&? -56? %55 758' 5&,: ()E -@5?' - -5 )56? %8' 7&:, %:, @%<56:, 76 Fdec.r‚G H)-E 56)' 758 )56?%8'E B 3;%-% - ]!2 ^ 5&5 :8' -5' 9?b!!!5? %<5 7%, -95%&, (< -E @7% 8 I? - ]!2!^ 7:5 %&E &% )56%% B 3;%-% - 56 :% 5 )78' &%6 -& 9@? 5? %<5  :&5' 8 I? - 56)5 ;' -5' %<5E 5&: 6D ]!00^ -5 dec.r‚ -5' ?5:,E 9:, %<5 -56%.(@<,E 5&5 -5' 7%, -95%&, (<−Qze[δ(z ) − 2κ(Q, z ; ω)Θ(−z )]ε−1(Q, z, z ; ω) = Θ(z) δ(z − z ) −1 + εs (Q, ω)+Θ(−z) [κ(Q, z + z ; ω) + κ(Q, z − z ; ω)]Θ(−z )+F4#=Gν−(Q, z; ω)[δ(z ) − 2κ(Q, z ; ω)Θ(−z )] ,1 + εs (Q, ω)?- (< ν (Q, z; ω)E ε (Q, ω) κ(Q, z; ω) -5: F4#>GE F4#/G F4#2G%%%8 )%%6E &% :8' F4#0G F4#=G D% 8D %@% 35 %?E )56%% F4#=G 8 (56 5&%6 -@5 )56? %8' 5& -56? -56%.%<5 υ (r, r ) =δ(r − r ) -E -5?%'E &% -56 dec.r‚ F4#=G %8 -5@ 5& 5 %<5 F -%5 ]!2!^G 5 5-?7%'%56% --: OdN dec.r‚ ):D%' 95%:−see00 (e, 2e) & !$! $ 5%% 7:& 78-D%' - : ) '%&: 95%  %55&, % )56%% 77-@ 95% ]!2#^C !G ' ' &56: F&:G 95%@ 95% 5%, ): F5 ): -%GJ #G - 7b@!!#? %? 5)E )78-: &56: 95% @- 7b? 5) - 95%.-:&D -5'%' 8@): -E %: 5& -55: 5) '5'D%'%& %56: -, ),  -5 K85L 8@): -: %%%D% E E 758 5&,: () @- 5) - 95%.-: )8 %56 5 ? 56:;% % %& )&E P ?- -'' 5) 5%'  95%.-:&: % H%,;,<, ) '? :7' -5?% -% 95%@95% 'E % A%5'%' )56%%E 7A ?'E9? )-,%' 8- 95% &% 9((% -@&? 9' 8% -%6 ) 5D 95%@95%? %<5 )&' -, 9?E %&DA)78-D 55%: -E % 7b:, %:, 5)@: ' 7%6 8%E D &-6E '%6' - 756;?% :- %&: 95%E ?- 9?'E %'' &56, )@'8, &%<,E -%' )  9?, 5) FE E7% ]=2^E ?- &% 77-DA &%< %D%' %:G&-E &% - 5& )-5 - ) %%' 65:E 56 9((%: )78-' - 5) 8 &%: -& 9 9% )-5 -%' 5) &5: )56%% -5' (e, 2e) @< %' %55 cR ‚Q  <56D 5-' 5 %@: 5): ) ) ' %&: 95%:7 cR ‚Q 755 %E &% - %55E &6 95%: ,%; 7b''% %' 7-: 95%E 75D-D%' 75 ;, 7b: 5): ): %%% F%@%56 5&: 9? 5) 9% %5G 5' -5%%%' % -? 9%56? 5-' ?@!!4% %8 % %55 cR ]44^ - (e, 2e) 9@% 9?%& % &: 95% )'56 &56:9? E = 100 9 ?5 -' θ = 30 8 )56? %8'E% θ = 30 E -  %&: 95%E A: ?5 θ = 60 %%56 5 % F  4!G &@% &' m€nO F4/G 56): -95%: %''E %@: ?5 -5 7-: 95% %55E %' 7?%%55& 9((% %%%DA -%5 -: H5@8 3 95%&, %5 % &%:5' --OdN dec.r‚E : -:-A )-5 8-:, ) )% %-5 -95%&? %5 7b? %55 P ?&? @%55&? 7)<E )5'DA?  %% 8 -'%' -758' -5' -95%&, (< 7b? %55 @-5 7-: 95%E %: 56): %'A &%C !G758 PB Fsm P sjVXfZ.mQUXkG ]!24^ #G ?--&@ 758 Fqc P j\iUVi\WfXkS f[[UV…kXfTkVWG ]!2"E!2>^ %' %%56D %%E 9% 758' 9((% &%:D% :%: &%: %%&? -&? 9' 7b:%55 %?E 56) &% 75?&% < &5@: :&5,E -5' ? 75 )&: %5:0◦0◦se◦ *.+ A B C 9%, ; )%, -5 &%:D%' 9((%: -&?9'E -95%&' (<' % λε (q, ω) = 1 + ,F44 Gq?- λ P %% 9 5' )%? ?) 7-: 95%2bλ2 =4kF,π2kF =√2F ,!!"?- k 7)&D% ( 9?D 56 %%% @56)' - ?P`,%< r E 8 )%6FFsλ =2Fr12π2/31rs-5' cR r = 1.87 -5' ‚QG5' (<,E (?DA :8' F4#0G F4#=GE @-5 PB -s= 2.07sλ2 −Λ|z|eκ(Q, z; ω) = δ(z) −,2Λ?- Λ =Q2 + λ2ν− (Q, z; ω) =Q −Λ|z|e,Λεs (Q, ω) =Q,ΛF44!G ! .+ % ? '5' 75 2 5% )- ]!2"^ ?--&758 )56 &6 5):  )'-? %% %& ,% - 5 -%% 9%, -5 )5D&@%' %% &% %%, -Cω,ε (q, ω) = 1 +F44#Gβ q − ω(ω + iν)?- &%% 7b? 5) ω 2bb2 2b√ωb = 4πn =3.rs3`-6 n 7)&% 95%D 5%%6 H% β )% % ωC⎧⎪1⎪⎨υF ,3β=⎪3⎪⎩υF ,5ω ν;ω ν.F444G1% ).

:&%%: -5: 8 )%  A6D @%5'<, (5: ]!2/^ω + iνυ .β =F44"Gω + iν235132F!!>_%% %5, ν 8 <%6 ν ∼ Γ E ?- Γ P ; 7b@? 5)? ) FΓ = 0.53 9 -5' cR Γ = 4.7 9 -5' ‚QG `%E&% 758 PB F44 G 5&%' ) F44#G -5 ω → 05' (<,E (?DA :8' F4#0G F4#=GE ?-@-&? 758' plplplplωb2 e−Λ|z|,2β 2 Λωb2 e−Λ|z|ω(ω + iν)e−Q|z| Q−,ν− (Q, z; ω) =ω(ω + iν) − ωb2Λ ω(ω + iν) − ωb2ω(ω + iν)Λ − ωb2 Qεs (Q, ω) =,[ω(ω + iν) − ωb2 ]ΛΛ = −iβ −1 ω(ω + iν) − ωb2 − β 2Q2κ(Q, z; ω) = δ(z) −F44>GF)-6 -5?%' ' %6?--%? 'E %' -% Re(Λ) > 0G ,)'  4# ) 5 -5 9?' '@? F&?G A? F%&?G 95%E 5& 5@& -95%&, (< -5 )56? %8' F4#0G -:&%: )5&' 8- 5&' -5 PB ?--@&? 758'  %% 5& sm 75D-%' 5: )&' 9? %&? 95% E ∼ 1 9E ?- 5&% 9? &: 95% ΔE = E − E :;% 7% :@- Φ = 4.3 9 75)%56 % 8 )& 1% ):% %E &%%&:, 95% %'  9?%&? ' 75)? @D B % ΔE %%6 -% 9% 75D-%'5-DA' %-<'C ( )& ΔE %&: 95%@: A% D%'  9?'E 75) ? )@&D E = ΔE − ΦE % %&% 5&D = H5- 75D-@ 7b''%' %E &% 5%%6 %', 56 (?e0sFeiF!!/' %5& % -5 PBE %%6 5& ?-@-&? 758' % 56:, )5 )&' ΔE ≈ 11 9E% 56 :;% 9?D %? 5)? )√ω = ω / 2 = 10.5 9 H&, %? )? -' '5'D%' @5D (< (3.27)E ?- 1 + ε = 0 H7?' 9((% - )%' 5)? ) ?--& 758 F44#GE% 5?' β = 0 ν = 0E 5& ) F44>GE &% 5D %&% @-%' ΔE = ω 1((%: - )%' 755D% -? &D ; 75D-? )? _5: )56%%: -5' 5? 9?%&? -@5' &, 95% 5& -5 dec.r‚ -5' -95%&@, (< F4#=G -%5:  44 -5 758PB &6 75) %%%DA -5D 5&-5 )56? %8' F  4#G -E -5 ?-@-& 758 %5&%' % 5?&?  4# ,@%%56E -7 E ')  %: 5)E 5ΔE = 15 9 '5'%' -?,E 75 ' :8:, H' @E &% ω = 14.9 9E &-E &% 9%% 755 9((% -&@? 9'E '):  )78- 7b, 5), -:%%% %? 5& OdN ? '5 5& dec.r‚ 5-%) ' :8, F4#0G F4#=G 7b: 9((%: 9' 7 -5' '):  (<, F4#2G 7)E -5 )56?%8' F4#0G 9% 9((%: ?D% 56E %56 ?- 5%DA, 95%% %6 %55 Fz < 0GE % ' -5 dec.r‚ F4#=G &D% ):%6' A ?- 5%DA, 95% -8%' 56' 5& -, -5: 7-? 7? 5%DA? 95%@ - ?? %5' -% 5: ?57 'E56 ?&' % 7) 5- 7b: 9((% 5& OdN  4" %5'D%' )56%%: &% % ):: '%@sbssb0!!0 = & $ % % ! *% $48P! $ & 3 K &L ' Q )-R! $4% + && 3 )?8! 3%+ & &% 12 S >% % % % (e, 2e) 2 E0 − Es − Ee ≥ Φ! & Φ ' $4&!!2 == L 3! = ! $ & O58D:7!!= =B M$ $4& $4 $ $4 8P $ !% $ ! $ 4 &% 0OT O58D:7 A $4 $ 3 -R! 3 ' $ 3 ?8!#%: -((<56: &, F>€nO P „hQ.wVRi ikƒQUQWTkfR SUVZZ ZQSTkVWGE%: 5&D%' ) &, m€nO F4/G %? 9? %@&? 95% E E  56) -- OdN dec.r‚ &-E&% & >€nO %)% )%6 :- %&: 95% %, ?% % 9? ΔE E %', &: 95%@ %%%  sm.)56%%  4# 44E sm.)56%%:  4" 75) -? -?C &' % % ?, 9? ΔE = ΦE-%?D%  ΔE = 7 − 8 9E )% % 7:D% - 5' ΔE ≈ 16 9E &% :) ?& |K + K − K | ≤ k E 5-:@: %7 ' ? 56 95%, :E @5556? % qc.)56%%: '- 756; 5&E &sm.)56%%:E ):' % : 56: 9((%: -&? 9@' %%%   4# 44E qc.'  4" 5& OdN% %56 - E '):,  )78- %, 5),-:E %?- qc.' 5& dec.r‚ % - E 755:)78- %,E % 7b, 5), -: %@%6 E ')?  %: 5)E 5& OdN &% - '- 756;E & 5& dec.r‚ H58 %%6 E')?  7b: 5)E 5& dec.r‚ -5'%' ?5: 7@) %(<, 9((% 5)? 5D -95%&, (@< 7b? 7)< ?--& 758 %&9((%E '):   9? 56 F5556? @%G 95%, :ese0F " /'  4>E 4/ 40 -%5: )56%%: &5: &% -5'% 8 5&E &%  4#E 44 4" %%%E -5' %55‚Q )5&' D  )56%% -5' cR 5& ?--&@? 758' 8 7b'%6 75 ; 5): ) !#! =F L 3! = ! $ 7G!## =" L 3! ==! $ 7G!#4 =9 L 3! =B! $ 7G!#"‚Q &%%E ) 5): - qc.)56%% ? 57 ; 56 ;: 5)? ) Γ ' - ) ' qc@)56%% -5' cR ‚Q  56) -5 )56? %8' H5@' ; 5 :%: FmqN P wYRR zkiTj fT jfRw Xf…kXYXG E75D-: qc.)56%% 5& OdN  4" 40E 75@)%56 Γ (Al) = 0.53 9 Γ (Be) = 4.7 9 %%% 35 %?E 56) -5 dec.r‚ 5-: 5): -  %- -5'D%' & m€nO F 4/G 75 5 '5'D%' %56 & >€nOF 40G sm.)56%%: -5' ‚QE %E -56 8  %%%DA@ )56%% -5' cRE 7 5& I%' 8- 8- sm.

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