Roger Grinter 2008 J. Phys. B: At. Mol. Opt. Phys. 41 095001 doi:10.1088/0953-4075/41/9/095001
Photon angular momentum: selection rules and multipolar transition moments
Roger Grinter
Show affiliationsThe representation of electromagnetic radiation by means of vector spherical harmonics and Bessel functions is described and used to derive selection rules for atomic electronic transitions which, as expected, show that the angular momentum of the system—atom plus photon—is conserved and, more importantly, provide a very precise description of the angular momentum of the photon involved. Examples of matrix elements for electric dipole, electric quadrupole and magnetic dipole transition moments of the hydrogen atom are calculated and the results compared with those obtained by the usual plane-wave expansion and with more recent results obtained in connection with studies of 'twisted' beams.
- PACS
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32.80.-t Photoionization and excitation
32.10.Dk Electric and magnetic moments, polarizabilities
31.15.-p Calculations and mathematical techniques in atomic and molecular physics
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- Dates
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Issue 9 (14 May 2008)
Published 22 April 2008
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Photon angular momentum: selection rules and multipolar transition moments
Roger Grinter 2008 J. Phys. B: At. Mol. Opt. Phys. 41 095001
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