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

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m~cs nap2 nepesreaasrx (p, 91 . B cmsae RecreuFuoB xamoc~e /j =0, 0 ypmemn (1.8) C B O ~ C R 0~38 div V =O , ~OSBD- -8 BHpa30Tb @ Pep3 2 8 ,M ;L - A@ =-dim (p P~). (1.11) Torna 83 (1.10) + AV =-rot [FA x TP], (1.12) 53 YpaBHeHUH &TA ,U 0IlUC~'r HenOTeW~bRHe WXeRafl HeCXEsraenon mmoc~u. B oduesr cnysae nenbsa yreemaTb, s ~ nepeuen- o Hare (p,@)omicaem noremanwe, a (2,~)- ~sxpeslle n~~xenss. B pidore [ 2 1 omicasur npyrne, donee cnoxeo yoTpoeRtur~ paaoeesecnue neperreaaae, B nmopm npu CKO~OCTIIX mnuoc~u V , n&mn[. no cpisaenum co c~opoc~bm aagna B aeB,no~e~~~smwae 0 OxpBue wxenrna uancurranb~srm odpasov pasnene~a. 1.3. Iieperrenme Knedma (1.10) Hmrorcn odpi3qou, ne noropo- sly BBO~TCII KatloHnsecxne nepeuesme B mrse ypmem8 mnpom- aaasecKoro ~ana. B odsope B.3axaposa [ 31 npsepem ~ ano~nsecnue nepeNeHaae &TA ~~XRTUB~CTCKOB mnpOmFIBdlam, m runpomr.wmrcn saparenaon mnItocru (manru), ~~an~onei~c~~ykole c 3nex~~o~ar~u~~m nonehl, &TA NarmTHOB rnnpom~a~0~u &TA BOW Ha nosepxnocru mprtoc~u. B padore [4] menem serape nam KaHonusecnnx nepmeaam. omicmamrde ~eseme a~pmb~oiI n csepxrenjseti KosrnoHenra mnnoro remH B paarmax aBgmmocraoll rBJIpO~H8Nl4KB. I;4. Moxao BsecTm Kanomnecme nepeMeaaae m ominan011 C ~ H ~ B HBOnH X a @ppohlar~ere~ax B pmax ypaaaewa &oxa m MOTHOCTU MaI'RUTHOPO NONeHTa - [- "" I ~ = g - M X Z , I M [ = M , , (1.13) rne g=c=7x mc 2,8Eq- PBPOMaraBTHOe OTHO~eKUe, H - DomaR 3 saeprun @pposraraerana. Xanee MU ~ C O N O T ~ ma N cnocuda sanurcm (1.13) B rranosasecmx nepeueesm - lpoprym (2.18) a (2.19.), (2.20). 1.5. Ypamema aemaeBHoiI aneKTpomaaum B cpenax c mcnep CUe3 He nOUyCKZOT TOsHOrO BBeneH0H RaROHvlseCK0X IIepeNeHHHX. T.K. He HB~DTCH n~grfep?a~@ans~m~ no Bpeueaa. Ommo, aTo uomo cnexaTs npbrmxeeao, mans or peaoflancam mmB, ecm 7
eanpclaieanocrb nom ne cmmxou eemsa. 0606u1ennotl ~oopnnna~ofi 0 ONQ'X5CON RBJIWITCB, HaIip0NeP. E~KTOPHH~~ n0TeHUBa A R er0 npoa3ao~~au no B@NeHn B q~n0nOBC~Ofi HBN~~POBX~. COnp06Hel~ - CN. sanasg (2.1) K § 2. Sagam. (3Be3~09~0tl 'o~ueqe~~ sanaw nosmeHno% cnox~oc~m ) 6 1.1. Bsrmrcmra I=G sr rvOIZd? - 601? tl P e m e n a e . I=SP 6q $,t)(?@(;,t1~%?1=2~p(~@~~~)d =-2Sdiv(,o~C'~~~ 6@1rl di' =-~diu(~(+)o^ @(;)I. 1.2. Doeasarb, sro m AB~BSXWBWOCTHO~~ uonem IYI~~YEI 683 h(aF EMTBOFO nom xasomsecmNa nepuensmu B~RITCB MOTROCTU pa s norempa csopocrn nacraq @aL53~ cx = 1,2 - anertrpom, no- RE) C ~ ~ O B b ~ O t l a ~ 0 U Y R a 3 a R 0 e . 118~eep~a~a~b ypaBnewle pI1i5,tl=p-fi, V, a acsara ero pemetlae e mne moc~ofi amsr p,, ii- - exp i(??-w,t).
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Lectures on Physics of Nonlinear Phenomena - Victor S. L'vov Home ...

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