By Yung-Kuo Lim, Chung-Kuo K'O Hsueh Chi Shu Ta Hsueh Physics Coaching Class
ISBN-10: 9810231334
ISBN-13: 9789810231330
The fabric for those volumes has been chosen from twenty years of exam questions for graduate scholars on the collage of California at Berkeley, Columbia college, collage of Chicago, MIT, SUNY at Buffalo, Princeton collage and the collage of Wisconsin.
Read or Download Problems And Solutions on Quantum Mechanics (Major American Universities Ph.D. Qualifying Questions and Solutions) PDF
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Additional info for Problems And Solutions on Quantum Mechanics (Major American Universities Ph.D. Qualifying Questions and Solutions)
Example text
Low wide nlrlst t hr lx~rrirrbt so that t lhr trat~s~rrissior~ pmhahility is 10- 3'? y for t r a l l ~ t l l i ~ 5 i ~ r ~ r ltmlIghthc potcntid? f i r what vallucs c)f E will this probal~itit~ 1)r urritv? n~~stnats I?. 23) - a < 0. V ( z ) 0, V(P)=-Va, D < x < n , V(z)=0. , when the kirlptir: cnergy ! ,of t h iririilr~~t ~ particle is (a) E < 0. , for whirh the wave [unction is trananissirru, P, thm bccomrx ~ n itv. i 1048 Consider a on~rlirn~nsian J squ;u~+w~11 p o t ~ n t i i ~( w l e Fig. ion for this I:>LSP.
L I be I ( i D l ( A 1) = A ( 3 ) (1 - A) lil ( r ) . Ollvio~~sly V ( 0 ,r) = Vf ( X I ,V(1, :r) = 112 ( r ) ,aV/iIA = V2(:c)- V,( x ) > fl, Tlir Ha~niltonionis t bell and the ~ l ~ ~ ~ q t ~isa t i o n m)In,A) = E,,(A) 1 wherc EtL(A) = ( 7 1 , A I ~ T ( xI),I$ A). F=o anrl W are pawhpre J r l ) arr an twthowrmal rwnetrrs, Asstnne p~riotIic:hoi~ndaryconditiou~qso that 1 N -1 j ) = I j ) . tions. ( Wkcoasin) 102 Problems and Solutions o n E l e c t r o m a g n r t ~ s m Solution: Basic Frinczples and O n e - D i n ~ e n s i o n a lMotions and so - A 1 From t h e fact t h a t 111) form a cornplcte set of o r t h o ~ ~ o r m functions, al where n = 1, 2 , 3 , .
When the kirlptir: cnergy ! ,of t h iririilr~~t ~ particle is (a) E < 0. , for whirh the wave [unction is trananissirru, P, thm bccomrx ~ n itv. i 1048 Consider a on~rlirn~nsian J squ;u~+w~11 p o t ~ n t i i ~( w l e Fig. ion for this I:>LSP. {ii) For Vfl> - B , il. -> I , k = J-/h, and the eqilnrlon ~lct~rminiag thr: taergy bn:~tursb rot ( k m ) = - k t - The wave function is Fig. 24 (a) For E < O, find the wave it~nctionnC a partide horrnd in this putential. Writc an quation which determines thr allowed values of E .
Problems And Solutions on Quantum Mechanics (Major American Universities Ph.D. Qualifying Questions and Solutions) by Yung-Kuo Lim, Chung-Kuo K'O Hsueh Chi Shu Ta Hsueh Physics Coaching Class
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