EBK PHYSICS FOR SCIENTISTS & ENGINEERS
5th Edition
ISBN: 9780134296074
Author: GIANCOLI
Publisher: VST
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Chapter 38, Problem 17Q
To determine
The change in particle’s ground state energy and wave function if potential wells become finite and decreases and drops to zero.
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An electron with energy E= +4.80 eV is put in an infinite potential well with U(x) =infinity for x<0 and x>L. Of course, U(x) = 0 for 0<x<L. Find the largest amount of time that the electron can exist outside the box. Draw and Label a figure.
24. Consider a modified box potential with
V(x) =
V₁x,
Vi(ar),
x a
Use the orthogonal trial function = c₁f₁+c₂f₂ with f₁ = √√sin (H)
and f2 = √√
√√sin
sin (2) to determine the upper bound to ground state
energy.
Example 6. A particle of mass 'm’ is moving in a one-dimensional box defined by the potential
V = 0, 0sxsa and V = o othcrwise. Estimate the ground state energy using the trial function
y (x) = Ax(a-x),
OSx
Chapter 38 Solutions
EBK PHYSICS FOR SCIENTISTS & ENGINEERS
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