Abstract
The scattering of light by an atomic system was considered in the early days of quantum theory and is described by the KramersHeisenberg scattering formula1. This may be derived by straightforward perturbation theory2 though certain refinements are necessary to include level shifts3. For a two-level atom the scattering is elastic. The atom, initially in the ground state absorbs a photon k, makes a virtual transition to an excited state, then emits a photon k’ returning to its initial state. Energy conservation requires equality of the frequencies ωk = ωk’. The frequency dependence of the scattering cross-section σk divides into three regions. For low frequencies ωk ≪ ωo, where hωo is the separation of the atomic levels, we have Rayleigh scattering and σk ∿ ω 4k . For high frequencies ωk ≫ ωo, the electrons in the atom behave as if essentially free and we have frequency-independent Thomson scattering. For ωk ∿ ωo the cross-section exhibits a sharp peak which is the region of resonance fluorescence.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Kramers H A and Heisenberg W, 1925, Zeit fur Phys 31, 681.
Louisell W H, 1973, Quantum Statistical Properties of Radiation (Wiley: New York), Section 5. 4.
Heitler W, 1954, Quantum Theory of Radiation (Clarendon Press: Oxford), Section 20.
Griffin A and Carruthers P, 1963, Phys Rev 131, 1976.
Seiden J, 1963, Comptes Rendus Acad Sciences 256, 393.
Orbach R, 1962, Phys Rev Lett 8, 393.
Klein M V, 1969, Phys Rev 136, 839.
Sheard F W and Toombs G A, 1973, Solid St Commun 12, 713.
Walton D, 1973, Phys Rev B7, 3925.
Iolin E M, 1965, Proc Phys Soc 85, 759.
Mills D L, 1965, Phys Rev 139, A1640.
Elliott R J and Parkinson J B, 1967, Proc Phys Soc 92, 1024.
Stevens K W H and Van Eekelen H A M, 1967, Proc Phys Soc 92, 630.
Roundy V and Mills D L, 1970, Phys Rev B1, 3703.
Fidler F B and Tucker J W, 1970, Solid St Commun 8, 2055.
Toombs G A and Sheard F W, 1973, J Phys C 6, 1467.
Joshi S K, 1975, Solid St Commun 16, 83.
Gehring G A and Gehring K A, 1975, Rep Prog Phys 38, 1.
Fletcher J R, Bluman J and Sheard F W, 1972, Int Conf Phonon Scattering (CEN Saclay: Paris), 228.
Halperin B and Englman R, preprint and Proceedings of this Conference.
Jacobsen E H and Stevens K W H, 1963, Phys Rev 131, 1976.
Huber D L and Van Vleck J H, 1966, Rev Mod Phys 38, 187.
Tucker J W, 1972, J Phys C 5, 2064.
Dreyfus B, 1972, Int Conf Phonon Scattering (CEN Saclay: Paris) 207.
Klein M V, 1973, Phys Rev B8, 919.
Shen Y R, 1974, Phys Rev B9, 622.
Sheard F W and Toombs G A, 1971, J Phys C 4, 313.
Challis L J, de Goer A M, Guckelsberger K and Slack G A, 1972, Proc Roy Soc A330, 29.
de Goer A M and Devismes N, 1972, J Phys Chem Solids 33, 1785.
Morton I P and Lewis M F, 1971, Phys Rev B3, 552.
Locatelli M and de Goer A M, 1974, Solid St Commun 14, 111.
McClintock P V E and Rosenberg H M, 1968, Proc Roy Soc A302, 419.
Brock J C F and Huntley D J, 1968, Canad J Phys 46, 2231.
Walton D, 1970, Phys Rev B1, 1234.
Swain S, 1967, Ph.D. thesis, University of Nottingham.
Walton D, Mook H A and Nicklow R M, 1974, Phys Rev Lett 33, 412.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1976 Plenum Press, New York
About this chapter
Cite this chapter
Sheard, F.W. (1976). Spin-Phonon Interactions. In: Challis, L.J., Rampton, V.W., Wyatt, A.F.G. (eds) Phonon Scattering in Solids. Springer, Boston, MA. https://doi.org/10.1007/978-1-4613-4271-7_39
Download citation
DOI: https://doi.org/10.1007/978-1-4613-4271-7_39
Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4613-4273-1
Online ISBN: 978-1-4613-4271-7
eBook Packages: Springer Book Archive