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 7, Problem 7.47P
To determine
The wavelength of photon emitted under a hyperfine transition in the ground state of deuterium.
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Imagine that we have a box that emits electrons in a definite but unknown spin state y). If
we send electrons from this box through an SGz device, we find that 20% are determined to
have Sz
+ħ and 80% to have S₂ -ħ. If we send electrons from this box through an
SGx device, we find that 90% are determined to have Sx +ħ and 10% to have Sx
Determine the state vector for electrons emerging from the box. You may assume that the
vector components are real.
-1/ħ.
=
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The wavefunction of an hydrogenic atom in its ground state is:
1
Z
3/2
Zr
Φο
a0
ao
where Z is the atomic number and do the bohr radius.
1) Give an expression of a。 as a function of the reduced mass. What is the
reduced mass of a tritium atom (you can assume that the mass of a neutron
to be the same as the mass of a proton)? What is the reduced mass of ³He+?
How do they compare to the mass of an electron?
2) What is the wavefunction of a tritium atom in its ground state? What is
the wavefunction of ³He+ in its ground state?
Calculate the energies of the three lowest states of positronium. Determine the wavelengths of the Kα, Kβ, Lα, and Lβ transitions.
Chapter 7 Solutions
Introduction To Quantum Mechanics
Ch. 7.1 - Prob. 7.1PCh. 7.1 - Prob. 7.2PCh. 7.1 - Prob. 7.3PCh. 7.1 - Prob. 7.4PCh. 7.1 - Prob. 7.5PCh. 7.1 - Prob. 7.6PCh. 7.2 - Prob. 7.8PCh. 7.2 - Prob. 7.9PCh. 7.2 - Prob. 7.10PCh. 7.2 - Prob. 7.11P
Ch. 7.2 - Prob. 7.12PCh. 7.2 - Prob. 7.13PCh. 7.3 - Prob. 7.15PCh. 7.3 - Prob. 7.16PCh. 7.3 - Prob. 7.17PCh. 7.3 - Prob. 7.18PCh. 7.3 - Prob. 7.19PCh. 7.3 - Prob. 7.20PCh. 7.3 - Prob. 7.21PCh. 7.3 - Prob. 7.22PCh. 7.4 - Prob. 7.23PCh. 7.4 - Prob. 7.24PCh. 7.4 - Prob. 7.25PCh. 7.4 - Prob. 7.26PCh. 7.4 - Prob. 7.27PCh. 7.4 - Prob. 7.28PCh. 7.4 - Prob. 7.29PCh. 7.5 - Prob. 7.31PCh. 7.5 - Prob. 7.32PCh. 7 - Prob. 7.33PCh. 7 - Prob. 7.34PCh. 7 - Prob. 7.35PCh. 7 - Prob. 7.36PCh. 7 - Prob. 7.37PCh. 7 - Prob. 7.38PCh. 7 - Prob. 7.39PCh. 7 - Prob. 7.40PCh. 7 - Prob. 7.42PCh. 7 - Prob. 7.43PCh. 7 - Prob. 7.44PCh. 7 - Prob. 7.45PCh. 7 - Prob. 7.46PCh. 7 - Prob. 7.47PCh. 7 - Prob. 7.49PCh. 7 - Prob. 7.50PCh. 7 - Prob. 7.51PCh. 7 - Prob. 7.52PCh. 7 - Prob. 7.54PCh. 7 - Prob. 7.56PCh. 7 - Prob. 7.57P
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