Fluctuation-Electromagnetic Interaction of Rotating Neutral Particle with the Surface: Relativistic Theory

Transcription

1 Fluuaon-lroagn Inraon of Roang Nural Parl w Surfa: Rlavs or A.A. Kasov an G.V. Dov as on fluuaon-lroagn or w av alula rar for of araon fronal on an ang ra of a nural parl roang nar a polarabl surfa. parl an surfa ar arar b arbrar aral proprs an praurs. surfa s assu o b n ral ulbru w vauu nvronn. PACS: 4.5.W; g. Inrouon Roaon of a bo along w unfor oon affs s ouplng w fluuaon lroagn fl of or bos. s rsuls n ang of van r Waals Casr fors arav an sspav an raav vauu a ang [ 3]. In a srs of our paprs [45] w av an pa of roaon [4] an a obn ff of roaon an unfor oon [5] on fluuaon lroagn nraon n ffrn onfguraons of nrang subsss. oban ngral prssons pn on ron of roaon wl subsss ar arar b arbrar lr an agn proprs an ffrn praurs. a of s papr s o onsr pa of roaon on fluuaon lroagn nraon bwn a sall polalabl parl an surfa oognous alf-a w allowan for raraon ffs. orronng nonrar l was onsr n [3] an all bas forulas n [3] follow fro our gnral rar forulas n s wor as a paral as.. or Consr a sall ral parl of raus R w lr an agn polarabls an praur roang w angular vlo Ω Ω an loa a san apar fro surfa Fg. Surfa aras vauu alf-a > fro alf-a < fll b a onnuous u w lr an agn prvs ε µ an praur. Assung onons R << { Ω } R << n

2 o b fulfll on an onsr roang parl as a pon-l fluuang lr an agn pol. In aon u o rlavs probl san valu of as no uppr rsrons. Aorng o wll-ap o of alulaon for a rvw s [6] w allowan for onanous an nu fluuaons alulang for of araon o surfa Q& an fronal on M av for n ss Σ nal prssons for F ra of ang oolng of parl F n n n n n n n n Q& & & & & M n n n n [ ] [ ] [ ] [ ] 3 wr an uppr pons abov Q no rvavs. In wa follows soul b an no onsraon a n as of roaon aroun as fluuaon-sspaon rlaons for onanous fluuang lr an agn ons of parl n ss Σ of surfa a for δ o 4 o o δ 5 o δ o 6 δ o 7

3 o o δ 8 o o δ 9 wr Ω ± ±. In aon rlaons bwn nu pol an agn ons of roang parl an onanous fluuang lroagn fl of surfa n rfrn fra Σ ar gvn b p 3 n p 3 n p 3 n p 3 n 3 p 3 n 4 p 3 n 5 I s wor nong a all Fourr-ransfors ar an a pon. 3. Rsuls

4 As a rsul of followng sanar alulaons w allowan for 5 w oban on- an oubl-pr uans no ral an agnar oponns of funons o I p o p R o p I o p R 4 F 6 o o p I o o p I 4 Q & 7 o o p I M 8 wr µ ε

5 µ µ ε ε. Morovr bra rs n s. 6 8 ar gvn b pll wrn rs w rplans. 4. Roaon as paralll o surfa as wr roaon as s paralll o surfa s u slar o as Ω II. Obvousl onfguraons Ω Ω Ω Ω Ω an Ω Ω Ω Ω Ω orronng o Ω II an Ω II. ar uvaln. Fluuaon-sspaon rlaons 4-9 an s. 5 soul b rwrn usng a l pruaon. n n as Ω II uaons analogous o 6 8 a for o p I o p R o p I o p R 4 F 9 o o p I o o p I 4 Q &

6 M p I o o In as Ω II s. 9 ar sa w rplans. Morovr s as o vrf a a Ω s. 6 9 an s. 7 ar ransfor no on anor an srb sa Casr-Polr for an parl-surfa raav a ang wn surfa s n ral ulbru w vauu nvronn bu ou of ulbru w parl [6]. On or an wn nglng raraon ffs n l [34]. s.6 ru o orronng nonrar rsuls oban n 5. Iall onung surfa an parl L us onsr spls as assung nrang subsss o b all onung. In s as w us a o R sgn Ω 3 R 3 o sgn Subsung no 6 an arrng ou ngraons ls wll-nown rsul [67] 3 9 R F orronng o an all onung ovabl parl an all onung alf-a. sa rsul s oban unr onons of fn onuv n lng as of srong raraon wr parl-surfa san s u grar an arars wav-lng n r absorpon ra [8]. ffrn n nural offns n [67] an [8] s u o la of ff of agn polaraon n [8].

7 rfor wn ap assupons roaon of parl os no alr Casr- Polr for. s rsul an also b forula as follows: prov a agnar pars of parl polarabls ar ual o ro r s no ouplng bwn parl roaon an ro osllaons of surfa lroagn fl. Morovr a for all onung parl an surfa fronal on an ang ra of parl sappar. Conrar o a ff of roaon wll b apprabl n as of ral aral proprs of parl surfa or bo of as wll as n as of ffrn praurs. 6. Conlusons For frs w av gnral rnl oban oral prssons for fluuaon lroagn araon for fronal on an ra of raav a ang bwn a roang parl an surfa w allowan for ff of raraon. arlr forulas n vansn-fl l follow fro gnral rsuls as a paral as. W av sown a n as of all onung parl an surfa angular roaon of parl os no nflun Casr-Polr for a ro praur of ss wl fronal on an ang ra a ar ual o ro. Rfrns [] A. Manjavaas F. Gara Abajo Ps. Rv. L [] R. Zao A. Manjavaas F Gara Abajo an J.. Pnr Ps. Rv. L [3] G.V. Dov A.A. Kasov urops. L [4] A.A. Kasov G.V. Dov arv: 8.63; 9.46; 9.488; [5] G.V. Dov A.A. Kasov arxv: 3.76; [6] G.V. Dov A.A. Kasov Ps. Sol. Sa 593; Nanosruurs. Ma. Ps. & Molng 95. [7]. Daa L.H. For Ps. L. A [8] L.D. Lanau.M. Lfs Cours of oral Pss Vol. 9: Sasal Pss Par urwor-hnann Ofor 998.

8 Fg. Goral onfguraon an oorna sss us.