ch39-p060 - 60. (a) The allowed energy values are given by...

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60. (a) The allowed energy values are given by E n = n 2 h 2 /8 mL 2 . The difference in energy between the state n and the state n + 1 is EEE n n h mL nh mL nn adj =− = + = + + 1 2 2 2 2 2 2 1 8 21 8 bg and E E mL mL n n adj = + L N M O Q P F H G I K J = + 8 82 1 2 2 2 22 2 b g . As n becomes large, 2 1 2 +→ and 2 2 n n n = (b) No. As adj , nE →∞ ∆ and E do not approach 0, but E adj / E does. (c) No. See part (b).
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