Modern Physics
2nd Edition
ISBN: 9780805303087
Author: Randy Harris
Publisher: Addison Wesley
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Chapter 8, Problem 59E
To determine
The formula for
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Problem #5: Calculate the equilibrium electron and hole densities for the following samples and determine if
they are n-type, p-type or intrinsic:
A) Si doped with 7x1017cm-³ Boron atoms.
B) Si doped with 2x101$cm-³ phosphorous atoms and with 2x1017cm³ boron atoms.
C) Si doped with 2x1018cm3 phosphorous atoms and with 2x1018cm-3 boron atoms.
If a very small uniform-density sphere of charge is in an clectrostatic
potential V(r), its potential cnergy is U(r) = V(r) + rởV²V(r) + -…,
where r is the position of the center of the charge and ro is its very small
radius. The “Lamb shift" can be thought of as the sinall correction to the
energy levels of the hydrogen atom because the physical electron does have
this property. If the r term of U is treated as a very small perturbation
compared to the Coulomb interaction V (r) = -c2/r., what are the Lanb
shifts for the 1s and 2p levels of the hydrogen atom? Express your result
in terms of ro and fundameutal constants.
The umperturbed wave functions are
P16(r) = 2a,2.
-3/2. e-r/anY; bzpm(r) :
1
-5/2
re-r/20BYm
%3D
V24
where as =
h? /mee?.
) What are the allowed values for total spin angular momentum of the hydrogen atom
having 1 proton and 1 electron, a deuterium atom and a tritium atom? Note: Your analysis should be
restricted to just the spin angular momentum. The problem is not asking about orbital angular
momentum. Based on your results, which atom types (hydrogen, deuterium, tritium) will respond as a
composite boson?
Chapter 8 Solutions
Modern Physics
Ch. 8 - A dipole without angular momentum can simply...Ch. 8 - Prob. 2CQCh. 8 - Prob. 3CQCh. 8 - Prob. 4CQCh. 8 - Prob. 5CQCh. 8 - Prob. 6CQCh. 8 - Prob. 7CQCh. 8 - Prob. 8CQCh. 8 - Prob. 9CQCh. 8 - Prob. 10CQ
Ch. 8 - Prob. 11CQCh. 8 - Prob. 12CQCh. 8 - Prob. 13CQCh. 8 - Prob. 14CQCh. 8 - Prob. 15CQCh. 8 - Lithium is chemically reactive. What if electrons...Ch. 8 - Prob. 17CQCh. 8 - Prob. 18CQCh. 8 - Prob. 19CQCh. 8 - Prob. 20CQCh. 8 - Prob. 21CQCh. 8 - Prob. 22CQCh. 8 - Prob. 23CQCh. 8 - The total-spin singlet state for two electrons has...Ch. 8 - Prob. 25ECh. 8 - Prob. 26ECh. 8 - Show that the frequency at which an electron’s...Ch. 8 - Prob. 28ECh. 8 - Prob. 29ECh. 8 - Prob. 30ECh. 8 - Prob. 31ECh. 8 - Prob. 33ECh. 8 - Prob. 34ECh. 8 - Prob. 35ECh. 8 - Prob. 36ECh. 8 - Prob. 37ECh. 8 - Prob. 38ECh. 8 - Prob. 39ECh. 8 - Prob. 41ECh. 8 - Prob. 42ECh. 8 - The Slater determinant is introduced in Exercise...Ch. 8 - Prob. 44ECh. 8 - Exercise 44 gives an antisymmetricmultiparticle...Ch. 8 - Prob. 46ECh. 8 - Prob. 48ECh. 8 - Write the electronic configurations for...Ch. 8 - Prob. 50ECh. 8 - Prob. 51ECh. 8 - Prob. 52ECh. 8 - Prob. 53ECh. 8 - Prob. 54ECh. 8 - Prob. 55ECh. 8 - Prob. 56ECh. 8 - Prob. 57ECh. 8 - Prob. 58ECh. 8 - Prob. 59ECh. 8 - The well-known sodium doublet is two yellow...Ch. 8 - Prob. 61ECh. 8 - Prob. 62ECh. 8 - Prob. 64ECh. 8 - Prob. 65ECh. 8 - Prob. 66ECh. 8 - Prob. 67ECh. 8 - Prob. 68ECh. 8 - Prob. 69ECh. 8 - Prob. 70ECh. 8 - Repeat Example 8.6, but assume that the upper...Ch. 8 - Prob. 72ECh. 8 - Prob. 73ECh. 8 - Prob. 74ECh. 8 - Using J2=L2+S2+2LS to eliminate LS , as well as...Ch. 8 - A hydrogen atom is subjected to a magnetic field...Ch. 8 - Prob. 77ECh. 8 - Prob. 78ECh. 8 - Prob. 79ECh. 8 - Prob. 80ECh. 8 - Prob. 81ECh. 8 - As is done for helium in Table 8.3, determine for...Ch. 8 - Prob. 83CECh. 8 - Prob. 84CECh. 8 - Prob. 85CE
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