EBK PHYSICS FOR SCIENTISTS & ENGINEERS
EBK PHYSICS FOR SCIENTISTS & ENGINEERS
5th Edition
ISBN: 9780134296074
Author: GIANCOLI
Publisher: VST
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Chapter 38, Problem 16Q
To determine

The explanation for an increase in separation between energy states with an increase in n but the correspondence principle doesn’t require closer spacing between states as n increases to approach classical situations.

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a) If the electron is in the ground state argue that the expectation value of the electric dipole (P.) =(qf) must vanish. Do not need to do a calculation. b) Show that for some of the n=2 states the expectation value (p,)=(qî) does not vanish. Give one example and proceed to calculate that expectation value.
3. Consider a particle of mass m in the potential V = = Vo[8(x − a) — 8(x+a)]. Show that there is always a bound state for all nonvanishing a.
Problem 2 ( ) A microscopic spring-mass system has a mass m = 5 x 10-26 kg and the energy gap between the 2nd and 3rd excited states is 7 eV. >) Calculate in joules, the energy gap the 1st and 2nd excited states: E= bet b) (= What is the energy gap between the 4th and 7th excited states: E= ev c) (- -) To find the energy of the ground state, Wluation can be used ? (check the formula_sheet and select the number of the equation) d) (t) Which of the following substitutions can be used to calculate the energy of the ground state? 01/27 02 x 7 -) The energy of the ground state is: E= eV f) To find the stiffness of the spring, which equation can be used ? (check the formula_sheet and select the number of the equation) Which of the following substitutions can be used to calculate the stiffness of the spring? 6.582x10-16 5x10-26 O(5 x 10-26) 7 6.582x10-16 O(5 x 10-26) (6.582x10-16 7 6.582x30-16 5x10-26 O(5 x 10-26) (7)² O(5 x 10-26) (6.582 x 10-16) ² 02- 7 (6.582x10-16) 2 h). ) The stiffness…
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