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3_pdfsam_Quiz 7-10 solutions

3_pdfsam_Quiz 7-10 solutions - Phy63 Spring 2010 1y(ill fr...

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Unformatted text preview: Phy63 Spring 2010 1y (ill, fr ‘1‘“, _ iii" 1 g) : {1,0135} " W J [ifdadx fl 1 (w) J alj‘i‘xtjulx l - [— .__ It: Li]: + (w! : El}! 2m (ix . nirx 13,2 i :[;(x) = A sm( ) u. "—“ i. 2,3, [in = ( ")n‘1 n 2 l, 2, 3, _ 1, 8nd,.“ ‘ I I I w ~~{ maf‘lhlrv {:4 r! I]! lelf B r E 9 9 -1. ~ “” ‘i‘ r t 3 w [an ‘ 2m rh" mu \ till I _ -~ ‘01 + flfim n — 0 i aft, 92 lb” and (MI dd!" 'l-‘u "i" ‘l’m “I‘d 1. For a valid wave function {11, properly normalized and satisfying the appropriate boundary conditions, the expectation value of any operator 0 representing a physically measurable quantity, such as position, momentum, - ‘ angular momentum; etc., must be real (1 point): @1‘ 2. What‘is the probability for "a positrOn to be reflected by the barrier? The positron has kinetic energy E— — 5 eV, mass — mg: 9.11 X 10‘31 kg, and is incident on a barrier with thickness L: 0.1 nm and height 25 eV (2 points). _\lam(u— e) L': l-(O c. . 0.01 J 0.99 _ ' a _ -30. #539... c. 00001 T :9" € ' _-: e ’1 OOIO d. 0.9999 ' e. 0.1 I. R 5 ld‘l— Z O‘qo‘ M ...
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