Lectures on Physics of Nonlinear Phenomena - Victor S. L'vov Home ...

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- 52,34 - K~ K~ =T/(zz~'. (5.16) TOT nepexoq cnpsema, ecnn B cpeqe orcy~crayior qanbsoqe8cr~yw mne cnna a T,,,,4 flmerca HenppHBHoii QyHxune8 CBOBX apryrres- TOB. Aanee, Tax ae xax n B pasnene (4.31, nepeaqeu K Nenrressbrm nepeNeesuM a(a-1 = bl~+ae)exp i 1 ~~r-0 t) (5.17) a sare~ B -F -npencraBneme no Qoptyna~ (4.17). iLina1-r) B pesynarare nol~~wrcs Ypame~ne (5.17) onucaBaer asdnmqnm ysxoro naxera BOJIR: ~ne~3F- ssuaesae naxe.ra KaK uenoro c rpynnoBo8 cxopocram, sneHnr- a7/sz n A, - sacnepcnio il qM@paxnnio, nocneuee cnaraeMoe - seneHe8soe cahloqeacrme aonH a nartere. Ha onrnsec- XOM saxe ~ T O cnaraeuoe omcaBaer aamcn~ocrh xo3muneaTa npenoMnelinn cpem or xsaqpara ahlmrym anexrpsecxoro nons. Pacc~arpsm (5.17) xax ypameme IUpa~arepa, Reneaeaam nnea
m~em~fi c~mn "nmoro secna sacwa". @Q~CTBY~T UEe nOCTaHOBK0 sariam lyvl YPaBHeRBR (5.17) : sslmrgna eonH 3wa~a Ha rpmue cpem - Hanpmnrep, cser naqaeT Ha HeJWHefiHm W3lIeKTpUR. B 3TOY ClQ'Pae PneHOM N W" NOXHO npeaebpeqb no cpaBHeme c u ( z - HanpaneHme u ) ; ecm aanasa cranmosapaa. TO a = 0 . Torna - P~ccN~T~B~XZ=~/~ XaK HOBOe BpeY8, NOW0 TpaKTOBaTS (5.21) KaK myNepHoe (F =z,y) ypeaeeee Upem~repa. Ilpocreiinan sanaqa 3TOrO TUna - JIUHe&aR ( T=O ) PJ@pKUR8 MOCKOfi BOnHK Ha nonyunocxocm - K ~ T K O omcaHa HBE~ - CY. sanaw 5.6. B~opa~ nocriuloBrra aanasm. 5.4. 3BOWW8 naKeTa B 6e3rm~Ofi CpeZe. npm ?TON NOXHO nepefirn B cucTeMg olcsera, u~0ra~qvm8 c rpgnnoBofi c~opocrbm id nneH ( i ) mcsesaer. &cnepcaossmi wee c. w" H~O~XOPJNO CoXpaHuTh: P~ccYoT~UN KaPeCTBeHHO pemeH0e 3TOn sarias0 B TpexhlepHON ( d =3), pagluepolv ( d 2) 0 oWoNepHoN cnysae. Cqsati d = 3 B Wxax (5.22) coo~~erc~sye~ s~omuna TpewepHoro crycma, waramoleroc8 c rpynnoBoa c~opoc~m, cnyqati d= 2 - aro sariasa 06 sBonwes nnocxoro nmela ( a (x, y, t I ), aeeramerocn c rpynnoBoB t . - CKO~OCTSRI, UJIU - sanasa o crannoHapHoB cmo@oqcnpoBKe naxera a(x yz) B PmKaX YpBHeHlR (5.21) nOCne 38NeHbl z/v EIocKO~~ ClQ'sa d = 1 - COOTBeTCTByeT, HWIpNep, c~air~0~apHOfi c~No@O~CU~OBK~ a = a (x, z ) . Jlanee nm onpeneneHHocrn BCloPg NB 6yneu C'iRTaTb ~ " 7 0 PaCCNOTPUN ~lQ"4& "uPUTBX~HU~ 30
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