Abstract
In this lecture I will deal with optical studies of vibrational dynamics. I will address the question of what (minimal number of) parameters characterize vibrational motion and under what conditions the relaxation-time approximation is valid. Within this assumption the vibrational dynamics are represented by, besides the eigenfrequency, the decay constants T 2 and T 1. More of these constants will be needed when different oscillators are coupled.
Following we will consider the extraction of these quantities from optical experiments. Relevant optical techniques are linear and nonlinear absorption spectroscopy, spontaneous Raman scattering and forced or “coherent” Raman scattering. The complications of strong coupling of the oscillators to the light field, in absorption spectroscopy referred to as polariton formation, will be dealt with.
It will be demonstrated that the conventional response theory that is employed to calculate line shapes has serious shortcomings. I refer to these “Kubo-type” response principles as to “one-way response theory” in contrast to, what I have coined, “two-ways response theory”.
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References
C.P. Slichter. “Principles ofMagnetic Resonance,” Harper, New York (1965) 1st edition.
the far wings of a spectral line will never have a lorentzian shape as otherwise the moments would diverge.
S.W. Lovesey in “Dynamics of Solids and Liquids by Neutron Scattering,”, edited by S.W. Lovesey and T. Springer, Springer, Berlin (1977).
Н. Mori, Progr. Theor. Phys. 33, 423 (1965).
D. Forster. “Hydrodynamic Fluctuations, Broken Symmetry, and Correlation Functions,” Benjamin, Reading (1975).
P.A. Madden and R.M. Lynden-Bell, Chem. Phys. lett. 38 163 (1976).
A. Nitzan, S. Mukamel, and J. Jortner, J. Chem. Phys. 60, 3929 (1974).
А. Nitzan and J. Jortner, Mol. Phys. 25, 713 (1973).
А. Nitzan and R.J. Silbey, J. Chem. Phys. 60, 4070 (1974).
А. Nitzan, S. Mukamel, and J. Jortner, J. Chem. Phys. 63, 200 (1975).
А. Carrington and A.D. McLachlan “Introduction to Magnetic Resonance, ” Hper, New York (1967).
C.B. Harris, R.M. Shelby, and P.A. Cornelius, Phys. Rev. Lett. 38, 1415 (1977).
R. Kroon, R. Sprik, and A. Lagendijk, Phys. Rev. B 42, 2785 (1990).
А. Laubereau and W. Kaiser, Rev. Mod. Phys. 50, 607 (1978).
N.G. van Kampen, Phys. Rep. 24С, 171 (1976).
N.G. van Kampen, “Stochastic Processes in Physics and Chemistry,” North-Holland, Amsterdam (1981).
Н. Mori, Progr. Theor. Phys. 34, 399 (1965); M. Dupuis, Progr. Theor. Phys. 37, 502 (1967).
R. Kubo and K. Tomita, J. Phys. Soc. Jpn. 9, 888 (1954).
W. Götze and K.H. Michel, in “Dynamical Properties of Solids,” edited by G.H.Horton and A.A. Maradudin, North-Holland, Amsterdam (1974).
an outline of such an approach has been given recently in H. Bakker, submitted to J. Chem. Phys.
M. Born and E. Wolf. “Principles of Optics,” Pergamon, Oxford 6th edition, 1987).
R. Kubo, J. Phys. Soc. Jpn., 12, 570 (1957).
C.J. Joachain,“Quantum Collision Theory,” North-Holland (1975).
R. Landauer in “Analogies in Optics and Micro Electronics”, edited by W. van Haeringen and D. Lenstra, Kluwer, Dordrecht (1990) p. 243.
S.R. de Groot and L.G. Suttorp, “Foundations of Electrodynamics,” North-Holland, Amsterdam (1972).
R. Loudon, The Quantum Theory of Light (Clarendon, Oxford, 1973) first edition. (The second edition differs considerably from the first edition.)
W.K. H. Panofsky and M. Phillips, “Classical Electricity and Magnetism,” Addison-Wesley, Reading (1962); P.M. Morse and H. Feshbach,“Methods of Theoretical Physics,” McGraw-Hill, New York (1953).
“Nonclassical Effects in Quantum Optics,”, edited by P. Meystre and D.F. Walls, American Institute of Physics, New York (1991).
V.E. Kravtsov, V.I. Yudson, and V.M. Agranovich, Phys. Rev. B 41, 2794 (1990).
А.E. Siegman, “Lasers,” Oxford, Oxford (1986).
А. Laubereau, L. Greiter, and W. Kaiser, Appl. Phys. Lett. 25, 87 (1974);Н. Graener and A. Laubereau, Appl. Phys B 29, 213 (1982).
Н.J. Bakker, P.C.M. Planken, and A. Lagendijk, Nature 347, 745 (1990); H.J. Bakker, P.C.M. Planken, L. Kuipers, and A. Lagendijk, J. Chem Phys. 94, 1730 (1991); H.J. Bakker, P.C.M. Planken and A. Lagendijk, J. Chem. Phys. 94, 6007 (1991).
“Scattering and Localization of Classical Waves in Random Media,” edited by Ping Sheng, World Scientific, Singapore, (1990).
Th.M. Nieuwenhuizen, A. Lagendijk and B.A. van Tiggelen. Phys. Lett. A. 169, 191 (1992).
А. Messiah, “Quantum Mechanics,” Vols. I and II, North-Holland, Amsterdam (1961); H.C. van de Hulst, “Light Scattering by Small Particles,”, Dover, New York (1981).
B.Á. van Tiggelen, A. Lagendijk, A. Tip, and G.F. Reiter, Eur. Phys. Lett. 15, 535 (1991).
У. Yan and K.А. Nelson, J. Chem. Phys. 87 6240 (1987).
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Lagendijk, A. (1993). Vibrational Relaxation Studied with Light. In: Bron, W.E. (eds) Ultrashort Processes in Condensed Matter. NATO ASI Series, vol 314. Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-2954-5_5
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