Introduction To Quantum Mechanics
3rd Edition
ISBN: 9781107189638
Author: Griffiths, David J., Schroeter, Darrell F.
Publisher: Cambridge University Press
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Question
Chapter 9, Problem 9.19P
To determine
The tunneling probability for
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Let's consider a harmonic oscillator. The total energy of
this oscillator is given by E=(p²/2m) +(½)kx?.
A) For constant energy E, graph the energies in the
range E to E + dE, the allowed region in the classical
phase space (p-x plane) of the oscillator.
B) For k = 6.0 N / m, m = 3.0 kg and the maximum
amplitude of the oscillator xmax =2.3 m For the
region with energies equal to or less than E, the
oscillator number of states that can be entered D(E).
The intensities of spectroscopic transitions between the vibrational states of a molecule are proportional to the square of the integral ∫ψv′xψvdx over all space. Use the relations between Hermite polynomials given in Table 7E.1 to show that the only permitted transitions are those for which v′ = v ± 1 and evaluate the integral in these cases.
For the function f(z) = 2+2 of complex variable z, which of the following statements is
incorrect?
z2-2z
Select one:
Oa. z=0 is a simple pole with residue -1
Ob. z=2 is a simple pole with residue 2
○ c. Both the first two options are correct
O d. None of the first two options are correct
Chapter 9 Solutions
Introduction To Quantum Mechanics
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