Abstract
In this paper we present a quantum theory of surface enhanced Raman scattering based upon coupled eigenstates or coupled excitations of a physiadsorbed molecule and surface plasmons of the metal. Our theory permits a quantum mechanical test to be made of the classical image field effect which is one limiting case of our model. In view of the physical simplicity and ease of calculation of classical theories based on image fields, such a test is important in deciding how much credence to give such theories, which have been previously intensively studied1,2 and are reviewed by G. C. Schatz in another chapter in this volume.
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References
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The coupling constant {Vq{2 given by Eq. (15) in Ref. 4 is incorrect by a factor 2ω 2p /(ω 2p +2ω2). The quantization condition of Eq. (A12) in Ref. 4 should be replaced by \(\frac{1}{2}\hbar \omega = \int {(\rho \phi + 4\pi \frac{{{\beta ^2}}}{{\omega _p^2}}{p^2})} dz\;A.\) The authors are grateful to Prof. G. Barton for asking an inspiring question which resulted in this correction.
R. Loudon, “Quantum Theory of Light,” Oxford University, London (1974), p. 188.
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K. Arya and R. Zeyher, Enhanced Raman scattering from molecules adsorbed at metal surfaces, preprint. We are very grateful to Dr. Arya and Dr. Zeyher for kindly making a preprint available to us.
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© 1982 Plenum Press, New York
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Lee, T.K., Birman, J.L. (1982). Coupled Excitation Model and Quantum Test of Image Field Effect. In: Chang, R.K., Furtak, T.E. (eds) Surface Enhanced Raman Scattering. Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-9257-0_3
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DOI: https://doi.org/10.1007/978-1-4615-9257-0_3
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