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// phica haoics phica haoics ( ) Θ( ) Φ( ) i ( ) A Φ Φ i ( ) Φ is oaiz Φ ( ) Φ( ) A A A phica haoics Th uctio o ca b xpss as a g poyoia Θ ( ) ( x) x cos x ( x) phica haoics 8 ( x) x ( x) ( x ) ( x) ( x x) phica haoics phica haoics Obita agua otu : a a itgs Noaisatio a othogoaity si opx cougat ( ) i ( cos ) ( ) phica haoics phica haoics phica haoics yty poptis Th stats > o ix spa a iucib pstatio D o th iiit otatio goup R. This ipis that i o appis a abitay otatio D(βγ) to th stat > o obtais a ia cobiatio o th copt st o stats > with th sa. phica haoics phica haoics [ ] R x y R z i [ ] yz R [ ] xz R i [ ] xy R phica haoics http://www.go.aizoa.u/xta/gos/-obitas.gi
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// phica haoics - sybo o syty poptis o th - sybos: Ev putatio sa sig O putatio: i i ust b v i phica haoics - sybo si Itga o sphica haoics Not: o copx cougat i this xpssio phica haoics Th Wig-Ecat Tho I spctoscopy w us th oowig syty popty: Th atix t b i a O ψ ψ uss i Γ Γ Γ Howv this tho os ot xpoit a syty poptis. Th Wig-Ecat Tho ats atix ts to coupig coicits K T K is a costat ipt o i I th vcto coupig coicit is pac by a - sybo o obtais T T phica haoics 8 Th Wig-Ecat Tho T T Th ast t is ca a uc atix t. psts ay aitioa uatu ub cssay to spciy th stat. phica haoics Th Wig-Ecat Tho I th opato is a sphica haoic opatig o stats > th uc atix ts ca b cacuat as oows: Usig th ga itgatio o sphica haoics Usig th Wig Ecat tho phica haoics Th Wig-Ecat Tho I o uss Racah s oais sphica haoics:.8..
// phica haoics atix ts si si A tab o ths vaus ca b ou i:.ugao.taab a H.Kaiua utipts o Tasitio-ta Ios i ystas Acaic ss Nw o a oo p.. phica haoics - sybos Itouc to scib th coupig o agua ota. It ca b xpss i ts o - sybos: ) ( a Th Wig -sybos a tu by th athatica uctio ixybo[ ]. aso: http://athwo.woa.co/wig-ybo.ht phica haoics Ecto-cto pusio atix ts o itctoic pusio: Expasio o / usig g poyoias: cos cos ϕ ϕ ω ω > < phica haoics Ecto-cto pusio t us i th opatos: / cos ω This cospos to a scaa pouct o th vctos (i). > < This tatt aows to spaat th aia cotibutio o th agua pat xpss by th. phica haoics Ecto-cto pusio : xap p s s R R p p > < Th itgas a ca at itgas. phica haoics ouob spittig I this cas t. W ca cacuat th ativ gy o th ts () () t D () D E E E Th gou stat t is giv by Hu s u: -axiu spi utipicity (a N spis a paa i N< i p N ) -ach poctio o th obita otu is th agst aow by th xcusio u.n (p ) : (-) ½ ½ Etat oata