MODERN PHYSICS (LOOSELEAF)
4th Edition
ISBN: 9781119495550
Author: Krane
Publisher: WILEY
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Question
Chapter 5, Problem 8P
(a)
To determine
The normalization constant b for the given wave function
(b)
To determine
The probability of particle at x=a/2 in a small interval of width 0.010a.
(c)
To determine
The probability for the particle to be found between x = a/2 and x = a
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Students have asked these similar questions
Consider a particle with the following wave-function:
,xL
and L and A are constants.
(a) What is the normalization constant A (in terms of L)?
(b) What is (in terms of L)? ? (ie, )
(c) What is the probability that the particle will be found within x=0 and L/2?
Calculate the tunneling probability when the kinetic energy of the particle is 0.2 MeV, the
barrier height is 20 MeV, the probability amplitude is 1.95×10¹5 m²¹, and the width of the
barrier is 2.97x10-¹8 m.
(A) 0.046
(B) 0.156
(C) 0.026
(D) 0.456
At time t =
state
0, a quantum particle in the infinite potential well with width a has the
Y(x,0) =
IN
sin
3πχ
a
0;
; 0≤x≤ a,
otherwise
(a) What are the expectation values of position and momentum at t = 0?
(b) What are the expectation values (x²) and (p²) at t = 0?
(c) What are the uncertainties in position and momentum. Calculate the product of the
uncertainties and comment on the result.
Chapter 5 Solutions
MODERN PHYSICS (LOOSELEAF)
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