solution3 - cam/FROG a, 00 2. § 126— p/Z/ .. Q#2 762’...

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Unformatted text preview: cam/FROG a, 00 2. § 126— p/Z/ .. Q#2 762’ r70 (a “2—— "“ 2’ ‘1 ~33 Z 27?; 3 xe’ffgoh ~37? foil?” [xeoev/q/ OWMOW < r A; L , 5&5: AK. wéfiflgfi” L jzc W; W °3 fr; 4% f“ > iii/‘_ §7f2” 00” 2— 061’ ... at , 106/ Cf”? NC:— \/<7r‘2~<2)2— 1‘ incio : 50¢ S .7. '_ L 7;. i __ 2,7; go (AL W th3640; 1/ h F mj {Lb flvdud I“; AO'YL M/A/IML4W (4460‘ (a) A ( 42>: Wfi/Wém 1 $5000 WACV/ V)0/ —- jéflrafiwé/ H (/ [raw—g9; 26 ,(OO 1 C]: i .\.. h (L i~ {g} .00 % fl 4 93?: :gc/yz/TQLWL/fi fifzéjrgr/Viy—ggé)p/b SMWF‘M Q {5 “l/ fifieflcfiw W )4 C ' FYT Eygfléb : QWTQLW?) (WM); 7%; 53 /OO ‘ ~H4(K{7\VW,5 5 /‘ SIM/b Y/ V274 Vi (Max 5/60; v4 ( #L / ,/ 2,: (C )Ll’: WMDF/ :[C/fitlr/g) Lkr 3 ’3 mm g L- l1: 2: 1‘;er— ; . 4 ~ 3 (4/ fww’g @—/q/ ‘33., 4 a) Number of nodes increase with n. Number of nodes in the n level is n-1.As the box size increases the magnitude of wave function decreases. it makes sense since the particle is expected to smear out and have less probability density at any one given location.The energy of the ground state is 6.03e-22 J. The ground state energy is not zero because of the Heisenberg uncertainty principle. b)The second excited state is doubly degenerate since nx =1, ny=2 and nx=2 , ny=1 both have same energy but are actually different wave functions. These two states would not be same in energy if the box is 10 nmx15 nm.The symmetry of the box has been broken and so the degeneracy is lifted, V c)The 2D box works in the same way as two 1D problems The number of nodes along nx is independent of the number of nodes along ny. ...
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This note was uploaded on 12/16/2009 for the course CBE 311 taught by Professor Staff during the Fall '08 term at Wisconsin.

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solution3 - cam/FROG a, 00 2. § 126— p/Z/ .. Q#2 762’...

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