Introduction To Quantum Mechanics
Introduction To Quantum Mechanics
3rd Edition
ISBN: 9781107189638
Author: Griffiths, David J., Schroeter, Darrell F.
Publisher: Cambridge University Press
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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. = -
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.
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