Introduction To Quantum Mechanics
3rd Edition
ISBN: 9781107189638
Author: Griffiths, David J., Schroeter, Darrell F.
Publisher: Cambridge University Press
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Chapter 1.5, Problem 1.6P
To determine
The reason why it is impossible to do integration by parts in the middle of the equation 1.29.
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Students have asked these similar questions
(a) Find the scalar products î · î, ĵ· ĵ, and k · Ê.
(b) Find î · ĵ, ĵ · k, and k · î
(c) Use the distributive law to multiply out the scalar product of two arbitrary vectors Ã
Axî + Ayî + A¸k and B
Equation 6.4.
Bxî + Byĵ + Bzk, and use the results of (a) and (b) to verify
2.7 There are certain simple one-dimensional problems where the equation of motion (Newton's
second law) can always be solved, or at least reduced to the problem of doing an integral. One of these
(which we have met a couple of times in this chapter) is the motion of a one-dimensional particle subject
to a force that depends only on the velocity v, that is, F = F(v). Write down Newton's second law and
separate the variables by rewriting it as m dv/F(v) = dt. Now integrate both sides of this equation and
show that
t = m
v dv'
F(v¹)
Vo
Provided you can do the integral, this gives t as a function of v. You can then solve to give v as a
function of t. Use this method to solve the special case that F(v) = Fo, a constant, and comment on
your result. This method of separation of variables is used again in Problems 2.8 and 2.9.
Consider a rectangular surface of length L and width W in the xy plane with its center at the origin:
Which of the following are valid expressions for the area vector of this surface? Check all that apply.
O (0,0, LW)
O (W, L, 0)
O (0,0, -LW)
O (LW, LW, 0)
O (0, LW, 0)
O (L, W, 0)
Chapter 1 Solutions
Introduction To Quantum Mechanics
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