Quantum Mechanics: Schrödinger's Wave Equation, Summaries of Quantum Mechanics

Download Quantum Mechanics: Schrödinger's Wave Equation and more Summaries Quantum Mechanics in PDF only on Docsity! HOOrLa Umar / Piq-02 —SemVI E o\_ S Ihe Hmtte Qyuare WeLL Vey |e tee Vex) 6 Otherwise Ve=o Vex) =O ———Region —I (xe — a )—————_—-. Region I Region = Region For the rege me—-am 4 Vex) O -Vo }—Vo _¥ re the Schrictinges Wave a ° eapatinn cqueves? Fonute, Sqpare welh hot + Vex) w,, a BHA azam Axe Dan Ghee ap = ot 2m™6 YW ae oe L where are li ky | le = [aan Ax : <= ; The oo solution ts "Rea amol positive because -kx kx & <0 (Bound State) wos he “+Be As M3 OP 4 Ven) 29O: Im order to keep the soluttdanr Sante feo. kx Wow = @, —Region Il (-aex ea) For the region IT yVexn) =-Ve anol Schveclinges e4polion bew somes * (=: as ~ «> ) Ww= Bay - (a Sia kt oly — Ve = BYP pon AL” “Eats, «Wea io AtP Sys am (BtVe)P Ax Kr (real ancl positive) at . 2 oy where On Ob =} Armless) >O at The genet Solution cst [rows G simlort) + Devscotx) | bur must be greste? m —Ve ‘Although E20 (negate ) Lb Qad Sotutions Th. continuity of YP abi ar- a Fe kx = Csnadr Fe —Cmaa —-_—=+fiid) The cContinuuty Jae ot K=O ar Fe*t_ ae coscta -keo -kFe Cot cos GO —— tiv) Divicling by (ity —~k = cl wscla Sinel & ke A corala ke Hob cotaa tramscenounlat Cayprorion ko = ola ext aa kot = — eotv oa +aig let ctasz Se — col Aa ol From (A) ‘ "hd, tne Let ka = ota panda or | = Cka)+(aay*> = =. (ko) = ze Cal a)* (key = ze _ 2% (taye = Be (ayo k . eye ete Zz tanz= | ‘ci 4 EE EEO eEO (ka) +(eta)ve at amVe zu he (ka) +(aay= =, Seniterty ec aleurloations juke —Cotz =\(=y-1 Summary = when G4 —Vo The Gsaphicol => C_tassic ty ( hs u partite ts <ampletely confined to “Station ) the region —aQe MEQ; %9 ts wilL bounce back onal Porth woh c—eonstant momentum p= lame between -Aaa “A —> ©) .cmtawas Mechomé airy 9 the aoluti og are Sifferent , at We Wowe women che am iL The region %w 24 -A on i Doe.