Solved Problems on Eigenvalues of Equations - Homework | PHYS 6124, Assignments of Physics

Download Solved Problems on Eigenvalues of Equations - Homework | PHYS 6124 and more Assignments Physics in PDF only on Docsity! Problem | ! 6 a) A=(. ) , The on oiee epuacton: Al?> = AUF yhe secular Epnoction , I-A & |= (ra)*- 6" =e pet JA -At| = | & nr sp Azle, e@. Tf Eto, -the etsen value Opnaction yews . aAtEY=AX ; Exty sry A suitable normadd zed ergenwecter - -for A= HE %, <Fil= Cb AY. A suitable mrmalzeol eiljenvectr for AHR E <nle OB WH) <H [arse => >. iR> wre opthefonnd, 1f E=0O 4 we San. A ,ALseel, From we evenvahe ephection , we Sag, mms JY. We can chorn to nivmoldeeol ertnpgeral eigenvectors, ale ctsey <= C81  "HOD The Setuler eyuetion vs (i-.)* 67 =0 PASE, He h GHo. he aigen Vadue epusctins orld; LAYHAK 3 — EPxer y= DY OA=HE, xK sutable nevrmel/zeol eyonvettor zs, - ! e Ts (Tre, et) BaAst~E, a su'tible norinahred eljen voila % ~_¢ sil, te <h [= (fez > aes) 2x | >= Ce +0 => <r, <3] are. ne or th ogonol . a. E20, A, TAa ] AQ cipenvalle s awe, ce penereks From the elponwnlug efiiaction 5, we, See, wey 2 y=4 => 4=0 Sime Y os fied, we ently have one normalised eljenvector. <¥| > <i] = Cl, ey for hs cas®, Ae expourectors are glto epenrarte , C). ete, <vf%>s iil | cose => cose a &* Hex => A= areas 1x 6* a On M4 WH Hes < Cro, <¥ [Fah = | > ol z0