Introduction To Quantum Mechanics
3rd Edition
ISBN: 9781107189638
Author: Griffiths, David J., Schroeter, Darrell F.
Publisher: Cambridge University Press
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Chapter 5, Problem 5.32P
(a)
To determine
The total energy
(b)
To determine
Show that for
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1-5. In a strictly steady state situation, both the ions and the electrons will follow
the Boltzmann relation
n; = no exp (-4,6/KT,)
For the case of an infinite, transparent grid charged to a potential 6, show that
the shielding distance is then given approximately by
ne 1
AD
€o KT, KT,.
Show that Ap is determined by the temperature of the colder species.
Ex 4.11
Consider silicon at T =
300 K. Calculate the thermal-equilibrium electron and
hole concentrations for impurity concentrations of (a) Na = 4 X 1016 cm,
Na = 8 X 1015 cm-3 and (b) Na = Na = 3 X 1015 cm-3.
Ignoring the fine structure splitting, hyperfine structure splitting, etc., such that energy
levels depend only on the principal quantum number n, how many distinct states of
singly-ionized helium (Z = 2) have energy E= -13.6 eV? Write out all the quantum
numbers (n, l, me, ms) describing each distinct state. (Recall that the ground state
energy of hydrogen is E₁ = -13.6 eV, and singly-ionized helium may be treated as a
hydrogen-like atom.)
Chapter 5 Solutions
Introduction To Quantum Mechanics
Ch. 5.1 - Prob. 5.1PCh. 5.1 - Prob. 5.2PCh. 5.1 - Prob. 5.3PCh. 5.1 - Prob. 5.4PCh. 5.1 - Prob. 5.5PCh. 5.1 - Prob. 5.6PCh. 5.1 - Prob. 5.8PCh. 5.1 - Prob. 5.9PCh. 5.1 - Prob. 5.10PCh. 5.1 - Prob. 5.11P
Ch. 5.2 - Prob. 5.12PCh. 5.2 - Prob. 5.13PCh. 5.2 - Prob. 5.14PCh. 5.2 - Prob. 5.15PCh. 5.2 - Prob. 5.16PCh. 5.2 - Prob. 5.17PCh. 5.2 - Prob. 5.18PCh. 5.2 - Prob. 5.19PCh. 5.3 - Prob. 5.20PCh. 5.3 - Prob. 5.21PCh. 5.3 - Prob. 5.22PCh. 5.3 - Prob. 5.23PCh. 5.3 - Prob. 5.24PCh. 5.3 - Prob. 5.25PCh. 5.3 - Prob. 5.26PCh. 5.3 - Prob. 5.27PCh. 5 - Prob. 5.29PCh. 5 - Prob. 5.30PCh. 5 - Prob. 5.31PCh. 5 - Prob. 5.32PCh. 5 - Prob. 5.33PCh. 5 - Prob. 5.34PCh. 5 - Prob. 5.35PCh. 5 - Prob. 5.36PCh. 5 - Prob. 5.38PCh. 5 - Prob. 5.39P
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