Bibliography

[1] M.Toda, Theory of Nonlinear Lattices, Berlin, 1981.

[2] R.K.Dodd, J.C.Eilbeck, J .D.Gibbon, H.C.Morris, Solitons and Non­linear Waves, Academic Press, New York, 1982.

[3] G.Eilenberger, Solitons. Mathematical Methods for Physicists. Springer, Berlin, 1981.

[4] M.Toda, Phys.Rep. 18 (1975) 1.

[5] G.Herzberg, Molecular Spectra and Molecular Structure, vol. 2 , In­frared and Raman Spectra of Polyatomic Molecules, van Nostrand, New York, 1945 (2nd edn., 1950).

[6] M.S.Child, L.Halonen, Advances in Chemical Physics, 57 (1984) 1.

[7] V.I.Arnold, Mathematical Methods of Classical Mechanics, Springer, New-York, 1978.

[8J A.N.Kolmogorov, Doklady Academii Nauk (USSR), 98 (1954) 527.

[9] V.I.Arnold, Uspekhi Matern. Nauk (USSR), 18 (1963) 13.

[lOJ V.I.Arnold, Uspekhi Matern. Nauk (USSR), 18 (1963) 81.

[l1J E.B.Wilson, J.C.Decius, P.C.Cross, Molecular Vibrations, McGraw­Hill, 1955.

[12] A.A.Ovchinnikov, Zh.Eksp.Teor.Phys. (USSR), 57 (1969) 263, (Eng. trans!.: SOy. Phys. JETP 30 (1970) 147).

[13] A.A.Ovchinnikov, Teor.Mat.Phys. (USSR), 11 (1972) 366.

[14] K. Dressler, O.Oehler, D.A.Smith, Phys.Rev.Lett., 34 (1975) 364.

[15] B.R.Henry, Accounts of Chemical Research, 20 (1987) 429.

[16J E.L.Sibert , W.P.Reinhardt, J .T.Hynes, J .Chem.Phys., 77 (1982) 3583.

[17] S.C.Althorpe, D.C.Clary, J.Chem.Phys., 102 (1995) 4390.

343

344 Bibliography

[18] W.J.Harter, G.W.Patterson, J.Chem.Phys., 80 (1984) 4241.

[19] D.A.Sadovskii, B.1. Zhilinskii , J.P.Champion, G.Pierre, J.Chem.Phys., 92 (1990) 1523.

[20] J.M.Gomes Llorente and E.Pollak, Ann.Rev.Phys.Chem., 43 (1992) 91.

[21] O.Brass, J.Tennyson, E.Pollak, J.Chem.Phys., 92 (1990) 3005, ibid, 3377.

[22] B.RJohnson, J.L.Kinsey, Phys.Rev.Lett., 62 (1989) 1607.

[23] A.Carrington, I.RMcNab, Acc.Chem.Res. , 22 (1989) 218.

[24] A.Carrington, RA.Kennedy, J.Chem.Phys., 81 (1984) 91.

[25] RV.Jensen, Proceedings of the US-Mexico Workshop on Atomic and Molecular Physics, 1991.

[26] B.Eckhardt, J.M.Gomes Llorente, E. Pollak , Chem.Phys.Lett., 174 (1990) 325.

[27] E.J.Heller, in: Proceedings 1989 Les Houches Summer School on Chaos and Quantum Physics, ed. by A.Varos, M.J .Griannoni, J .Justin, Elsevier, Amsterdam, 1990.

[28] H.G.Kjaergaard, Hengutai Yu, B.J.Schattka, B.R.Henry, A.W.Tarr, J.Chem.Phys., 93 (1990) 6239.

[29] H.G.Kjaergaard, B.RHenry, J .Phys.Chem., 99 (1995) 899.

[30] H.G.Kjaergaard, B.RHenry, MoI.Phys., 83 (1994) 1099.

[31] M.M.Law, J.L.Duncan, Mol.Phys. 83 (1994) 757.

[32] A.C. Albrecht , in: Advances in Laser Chemistry, ed. by A.H.Zeweil , Springer, Berlin, 1978, p.235 (Springer Series in Chemical Physics, v.3).

[33] J .Svitak, Z.Li, J .Rose, M.E.Kellman, J.Chem.Phys., 102 (1995) 4340.

[34] J .P.Rose, M.E.Kellman, J.Chem.Phys., 103 (1995) 7255.

[35] M.E.Kellman, Ann.Rev.Phys.Chem., 46 (1995) 395.

[36] L.Halonen, A.G.Robiette, J.Chem.Phys., 84 (1986) 6861.

[37] M.Halonen, L.Halonen. H.Burger, S.sommer, J.Chem.Phys., 93 (1990) 1607.

Bibliography 345

[38J KKLehman, J.Chem.Phys., 95 (1991) 2361.

[39J B.R.Henry, M.G.Sowa, Prog.Analyt.Spectrosc. 12 (1989) 349.

[40J C.L.Siegel, J.KMoser, Lectures on Celestial Mechanics, Springer, 1971.

[41J S.Sternberg, Celestial Mechanics 1, 2, N.Y., Benjamin, 1969.

[42J L.D.Landau, E.M.Lifshitz, Mechanik, Lehrbuch der Theoretischen Physik I, Akademie-Verlag, Berlin, 1991.

[43J P.M.Morse, H.Feshbach, Methods of Theoretical Physics, New York, 1953.

[44J V.I.Arnold, Doklady Academii Nauk (USSR), 156 (1964) 9.

[45J G.M.Zaslavskii, B.v.Chirikov, Uspehi Fiz. Nauk (USSR), 105 (1971) 3.

[46J S.M.Ulam, A Collection of Mathematical Problems, Los Alamos Sci­entific Laboratories, New Mexico.

[47J J.Ford, J.Waters, J.Math. Phys., 4 (1963) 1293.

[48J F.M.Izrailev, A.I.Hisamutdinov, B.V.Chirikov, Preprint, Institute of Nuclear Physics, Siberian branch of the Academy of Sciences of USSR.

[49J V.M.Burlakov, S.A.Kiselev, V.I.Rupesov, Pis'ma ZHETF (USSR), 51 (1990) 481, (Eng. transl.: JETP Letters 51 (1990) 544).

[50J J.KMoser, Math.Ann., 169 (1967) 136.

[51J A.A.Ovchinnikov, N.S.Erikhman, Uspekhi Fiz. Nauk (USSR), 138 (1982) 289, (Eng. transl.: Sov.Phys.Usp., 25 (1982) 737).

[52J C.Jaffe, P.Brumer, J.Chem.Phys., 73 (1980) 5647.

[53J R. Wallace , Chem.Phys., 11 (1975) 189.

[54J G.A.Korn, J.M.Korn, Mathematical Handbook for Scientists and En­gineers, Mc. Graw - Hill Book Company, 1968.

[55J R.T.Lawton, M.S.Child, Mol.Phys., 37 (1979) 1799.

[56J B.Henry, I.Hung, Chem.Phys., 29 (1978) 465.

[57J D.A.Kirzhnic, Field Methods of Many-Particle Theory, Gosatomisdat (USSR), Moscow, 1963.

[58J P.A.M.Dirac, The Principles of Quantum Mechanics, Oxford, 1958.

346 Bibliography

[59] N.N.Nehoroshev, Functionalnii Analiz I Ego Prilozheniya (USSR), 5, (1971) 82.

[60] A.P.Prudnikov, Yu.A.Brichkov, O.I.Marichev, Integrals and Series, Nauka, Moscow, 1981 (in Russian),

LS.Gradshtein, LM.llizhik, Tables of Integrals, Series, and Products, Nauka, Moscow, 1971.

[61] A.J .Sievers, S.Takeno, Phys.Rev.Lett., 61 (1988) 970.

[62] S.Takeno, A.J.Sievers, SoI.St.Comm., 67 (1988) 1023.

[63] S.Takeno, et.al., Progr.Theor.Phys., 94 (1988) 242.

[64] S.Flach, C.RWillis, Phys.Rep., 295 (1998) 184.

[65] H.Segur, M.D.Kruscal, Phys.Rev.Lett., 58 (1987) 747.

[66] J.Giecke, Phys.Rev.E, 49 (1994) 3539.

[67] S.Elytin, A.Maimistov, E. Manukin, Phys.Lett.A, 142 (1989) 493.

[68] RTrautman-Michalska, J.Opt .Spect.America, 6 (1989) 36.

[69] S.Flach, Phys.Rev.E, 50 (1994) 3134.

[70] S.Flach, Phys.Rev.E, 51 (1995) 1503.

[71] S.Flach, Phys.Rev.E, 51 (1995) 3579.

[72] S.Flach, Existence and properties of discrete breathers, in: E.Alfinito, M.Boiti, L.Martina, F.Pempinelli, editors, Nonlinear Physics. Theory and Experiment, World Scientific, Singapore, 1996, p.390.

[73] D.Cai, A.RBishop, N.Gronbech-Jensen, Phys.Rev.E, 52 (1995) 5784.

[74] RS.Mac-Kay, S.Aubry, Nonlinearity, 7 (1994) 1623.

[75] W.H.Press, B.P.Flannery, S.A.Teukolsky, W.T.Vetterling, Numerical Recipes: The Art of Scientific Computing, Cambridge University Press, Cambridge, 1986.

[76] S.Flach, C.RWillis, E.Olbrich, Phys.Rev.E, 49 (1994) 836.

[77] A.A.Ovchinnikov, S.Flach, Phys.Rev.Lett., 83 (1999) 248.

[78] A.J.Sievers, S.Takeno, Phys.Rev.Lett. , 61 (1988) 970.

[79] J.B.Page, Phys.Rev.B, 41 (1990) 7835.

Bibliography 347

[80] A.J.Sievers, J.B.Page, Unusual anharmonic local mode systems, in: G.KHorton and A.A,Maradudin, editors, Dynamical Properties of Solids VII (Phonon Physics: The Cutting Edge), Elsevier, Amster­dam, 1995, p.137.

[81] L.D.Landau, E.M.Lifshitz, Quantenmechanik, Lehrbuch der Thea­retischen Ph:'sik III, Akademie-Verlag, Berlin, 1991.

[82] A.A.Ovchinnikov, N.S.Erikhman, Optika i Spektroscopia. (USSR), 34 (1973) 690, (Eng. trans!.: Opt. Spectrosc. 34 (1973) 398).

[83] M.S.Child, RT.Lawton, Faraday Discuss. Chern. Soc., 71 (1981) 273.

[84] H.S.Heeps, G.Herzberg, Z.Physik, 133 (1952) 48.

[85] L.V.Gurvich et. al., Thermodynamic Properties of Individual Substan-cies, 4-th Ed. (Hemisphere, New York. 1991).

[86] I.A.Watson, B.RHenry, I.G.Ross, Spectrochim. Acta, 37A (1981) 857.

[87] M.S.Child, RT.Lawton, Chem.Phys.Lett., 87 (1982) 217.

[88] P.RStannard, M.L.Elert, W.M.Gelbart, J.Chem.Phys., 74 (1981) 6050.

[89] H.S.Moller, O.S.Mortensen, Chem.Phys.Lett., 66 (1979) 539.

[90] L.D.Landau, E.M.Lifshitz, Feldtheorie, Lehrbuch der Theoretischen Physik II, Akademie-Verlag, Berlin, 1991.

[91] P.RBunker, RE.Moss, Mol.Phys., 33 (1977) 417.

[92] P.RBunker, C.J.McLarnon, RE.Moss, Mol.Phys., 33 (1977) 425.

[93] P.RBunker, RE.Moss, J.Mol.Spectrosc., 80 (1980) 217.

[94] H.Essen, Am.J.Phys., 46 (1978) 983.

[95] H.Grum, H.G.Kjaergaard, O.S.Mortensen, Am.J.Phys., 58 (1990) 344.

[96] D.Papousek, M.Aliev, Molecular Vibrational/Rotational spectra, Academia, Prague, 1982, 323 p.

[97] J.KG.Watson, Mol.Phys., 15 (1968) 479.

[98] M.RAliev, J.KG.Watson, in: Molecular Spectroscopy: Modern Re­search, v.3, p.1, ed.by KN.Rao, Academic Press, 1985, pp.2-67.

[99] C.Camy-Peyret, J.M.Flaud, in: Molecular Spectroscopy: Modern Re­search, v.3, p.69, ed.by KN.Rao, Academic Press, 1985, pp.69-110.

348 Bibliography

[100] H.A.Jahn, E.Teller, Proc.Roy.Soc.A, 161 (1937) 220.

[101] M.S.Krishnan, T.Carrington, J.Chem.Phys., 95 (1991) 1884.

[102] M.S.Krishnan, T.Carrington, J.Chem.Phys., 94 (1991) 46l.

[103] M.Dubs, D.Harradine, E. Schweitzer , J.1. Steinfeld , C.W.Patterson, J.Chem.Phys.,77 (1982) 3824.

[104] M.Takami, H.Kuze, J.Chem.Phys., 78 (1983) 2204.

[105] G.A.Laguna, KC.Kim, C.W.Patterson, M.I.Reisfeld, D.M.Seitz, Chem.Phys.Lett., 75 (1980) 357.

[106] KFox, H.W.Galbreith, B.I.Krohn, J.D.Louck, Phys.Rev.A, 15 (1977) 1363.

[107] A.J.Dorney, J.KG.Watson, J.Mol.Spectrosc., 42 (1972) 135.

[108] J.Heading, An Introduction to Phase-Integral Methods, London: Methuen, New York: John Wiley, 1962, 160 p.

[109] B.J.Krohn, Los Alamos Report LA-6554-MS, 1976.

[110] W.G.Harter, C.W.Patterson, J.Chem.Phys., 66 (1977) 4872.

[111] W.G.Harter, C.W.Patterson, J.Chem.Phys., 66 (1977) 4886.

[112] W.G.Harter, C.W.Patterson, F.J. da Paihao Rev.Mod.Phys., 50 (1978) 37.

[113] E.P.Wigner, Group Theory and Its Application to the Quantum Me­chanics of Atomic Spectra, New York and London, 1959.

[114] R.S.McDowell, C.W.Patteron, W.G.Harter, Los Alamos, Sci 3, (1982) 38.

[115] W.G.Harter, C.W.Patterson, Phys.Rev.A, 10, (1979) 2277.

[116] J.Borde et.al., Phys.Rev.Lett., 45 (1980) 14.

[117] W.G.Harter, Phys.Rev.A, 24 (1981) 192.

[118] J.Borde, Ch.J.Borde, Chem.Phys. 71 (1982) 417.

[119] J.D.Louck, H.W.Galbraith, Rev.Mod.Phys., 48 (1976) 69.

[120] G.S.Ezra, Symmetry Properties of Molecules: Lecture Notes in Chem­istry, vol.28, Springer, New York, 1982, pAl.

[121] Q.Zhu, B.A.Thrush, Chem.Phys.Lett., 150 (1988) 181.

Bibliography 349

[122J Q.Zhu, B.Zhang, Y. Ma, H. Qian, Chem.Phys.Lett., 164 (1989) 596.

[123J K. Lehmann , J.Chem.Phys., 96 (1992) 7402.

[124J F.Michelot, J.Moret-Bailly, A.De-Martino, Chem.Phys.Lett., 148 (1988) 52.

[125J M.Chevaiier, A.De-Martino, F.Michelot, J.MoI.Spectrosc., 131 (1988) 382.

[126J L.Halonen, J.Chem.Phys., 86 (1987) 588.

[127J M.Ya.Ovchinnikova, Chem.Phys., 120 (1989) 249.

[128J T.Poston, I. Stewart , Catastrophe Theory and Its Applications, Pit­man, London, San Fransisco, Melbourne, 1978.

[129J I.M.Pavlichenkov, B.I.Zhilinskii, Chem.Phys., 100 (1985) 339.

[130J B.I.Zhilinskii, I.M.Pavlichenkov, Optica i Spectroscopia (USSR), 92 (1987) 387.

[131J D.A.Sadovskii, B.1. Zhilinskii , MoI.Phys., 65 (1988) 109.

[132J M.E.Kellman, L.Xiao, Chem.Phys.Lett.,162 (1989) 486.

[133J M.E.Kellman, L.Xiao, J.Chem.Phys. 93 (1990) 582l.

[134J Z.Li, L.Xiao, M.E.Kellman, J.Chem.Phys. 92 (1990) 225l.

[135] Z.Li, L.Xiao, M.E.Kellman, J.Chem.Phys. 93 (1990) 5805.

[136J M.E.Kellman, J.Chem.Phys. 83 (1985) 3843.

[137J M.E.Kellman, E.D.Lynch, J.Chem.Phys. 85 (1986) 7216.

[1381 L.Xiao, M.E.Kellman, J.Chem.Phys. 90 (1989) 6086.

[139J M.E.Kellman, J.Chem.Phys. 93 (1990) 6630.

[140J M.E.Kellman, C.Chen, J.Chem.Phys. 95 (1991) 8671.

[141J M.E.Kellman, in Molecular Dynamics and Spectroscopy by Stimulated Emission Pumping, edited by H.L.Dai and R.W.Field, World Scientific Singapore.

[142J J.Rose and M.E.Kellman, J.Chem.Phys. 103 (1995) 17.

[143J D.S.Tinitit, C.W.Robinson, J.Chem.Phys., 49 (1968) 3229.

[144J R.Kubo, Y.Toyozawa, Progr.Theor.Phys., 13 (1955) 160.

350

[145] H.Kun, A. Rhys, Proc.Roy.Soc. A, 204 (1950) 406.

[146] KTakahashi, M.Yokota, Mol.Phys., 20 (1971) 663.

Bibliography

[147] Ya.B.Zel'dovich, A.A.Ovchinnikov, Pis'rna Zh.Eksp.Teor.Fiz, 13 (1971) 636, (Eng. transl.: JETP Lett., 13 (1971) 452).

[148] T.Uzer, Phys.Rep., 199 (1991) 1.

[149] J.M.Y.Ha, H.J.Maris, W.M.Risen Jr., J.Tauc, C.Thornson Z.Vardeny, Phys.Rev.Lett., 57 (1986) 3302; see also references in [148].

[150] V.Plotnikov, G.Konoplev, Sov.Phys. JETP, 38 (1974) 476.

[151] A.Stuchebrukhov, S.lonov, V.Letokhov, J.Phys.Chern., 93 (1989) 5357.

[152] A.A.Ovchinnikov, N.S.Erikhrnan, Sov.Phys.Solid State,14 (1973) 2453.

[153] B.RHenry, Acc.Chern.Res., 10 (1977) 207.

[154] RG.Bray, M.J.Berry, J.Chern.Phys., 71 (1979) 4909.

[155] KF.Reddy, D.F.Heller, M.J.Berry, J.Chern.Phys., 76 (1982) 2814.

[156] M.P.Cassassa, D.S.Bornse, KC.Janda, J.Chern.Phys., 74 (1981) 5044.

[157] M.A.Hoftbauer, KLiu, C.F.Giese, W.RGentry, J.Chern.Phys., 78 (1983) 5567.

[158] G.Fischer, RE.Miller, RO.Watts, Chern.Phys., 80 (1983) 147.

[159] P.Avouris et al., Chern.Rev., 77 (1977) 793.

[160] D.F.Heller, M.L.Elert, W.M.Gelbart, J.Chern.Phys., 69 (1978) 406l.

[161] M.Bixon, J.Jortner, J.Chem.Phys., 50 (1969) 3284; ibid, 406l.

[162] A.A.Stuchebrukhov, I.E.Khrornov, Chern.Phys.Lett., 134 (1987) 25l.

[163] M.V.Kuzrnin, V.S.Letokhov, A.A.Stuchebrukhov, ZHETP (USSR), 90 (1986) 458, (Eng. transl.:Sov.Phys. JETP, 63 (1986) 264).

[164] A.A.Stuchebrukhov, Sov.Phys. - JETP, 64, (1986) 1195.

[165] V.N.Bagratashvili, V.N.Burirnov, S.l.Ionov, A.p.sviridov, A.A.Stuchebrukhov, L.M. Turovets, Spectrochirn.Acta, Proceed­ings of the International Conference on Chemistry by IR Lasers, 1986.

Bibliography 351

[166J D.J.Swanton, B.R.Henry, J.Chem.Phys., 86 (1987) 4801.

[167J K.M.Gough, B.R.Henry, J.Am.Chem.Soc., 106 (1984) 2781; J.Phys.Chem., 88 (1984) 1298.

Index

Absorption lineshape, 329 linewidth, 334 spectrum, 338, 346

Anharmonicity, 13, 26, 71 of stretching vibrations, 178 parameter, 14, 185

Arnold diffusion, 32 Asymmetric top, 199, 216, 220 Averaged Hamiltonian, 39

Beat effect, 14, 34 Bifurcation

diagram, 271, 272 manifold, 270 point, 253, 268, 270, 274

Body frame, 157, 163, 165, 178, 180, 193, 212, 252, 253

Bond length, 184, 347, 349 Breather, 107, 351

discrete, 107, 110 multi-frequency, 114

Canonical transformation, 29, 74, 89, 99, 192, 289

Catastrophe map, 290 Cluster

ofrotation levels, 207, 243, 245, 246, 248, 249

of vibrational-rotational levels, 260

Clusterization of rotational levels, 177, 187,

188, 252, 254 of vibrational levels, 129, 140,

145, 154, 254

353

of vibrational-rotational levels, 25, 178

Combined symmetry, 241 Completely integrable system, 31,

32 Condensation of vibrational exci­

tations, 308 Conditionally-periodic motion, 31,

32, 120 Contact transformation, 153, 170 Coriolis interaction, 169, 184 Correlation

structure-spectrum, 346 table, 219, 220, 225, 231, 237,

242 Critical phenomenon, 270-272, 275 Cusp (gap) in the spectrum, 285

Decay rate (level width), 311, 318, 324, 334

Diabolic point, 279 Differential form, 42

Eckart conditions, 156 Effective Hamiltonian, 25, 171, 173,

188, 190, 191, 252, 254 Euler angles, 191

Fermi resonance, 253, 284 Freezing effect, 239

Generating function, 28

Hamiltonian equations, 30, 111, 198 in tensor form, 278, 279 lattice, 107, 110, 125

354

Hyperfine splitting, 129, 207, 241, 251

Initial vector, 218 Integrals in involution, 30 Internal symmetry, 187, 216, 242 Intramolecular relaxation, 323 Invariant torus, 62

KAM theory, 17, 69, 87, 116 Kolmogorov theorem, 20, 27, 31,

35,108

Laplace operator in covariant form, 153, 157

Lissajou curve, 15, 21 Local Mode (LM), 17, 21, 32, 42,

65,68,70,78,96,107,146, 150, 254, 347

lifetime, 87, 296, 303 split-off, 81, 82

Local symmetry, 217, 219, 270

Master equation, 329 Method of averaging, 37, 40, 74 Metric tensor, 158 Mixing of states

of different symmetry, 259, 265 of different vibrational bands,

279 Morse oscillator, 27, 35, 40, 70,

131, 347 Multimode resonance, 291, 323, 333

Nonresonant torus, 31, 32, 35, 42, 69,87

Normal Mode (NM), 12, 13, 42, 65, 68, 70, 78, 146, 150, 157

Order of resonance, 30, 331 Overlap of states, 209, 226, 260 Overtone spectrum, 130

Permutation symmetry, 239 Phase

Index

portrait, 50, 54 sphere, 286, 287, 291 trajectory, 16, 19, 31, 34, 41,

195, 207 vibrations, 62

Poincare section, 56, 62, 120 Point group invariance, 281, 283 Poisson brackets, 88 Polyad, 253, 286, 287, 290

R-band of dyad, 282 RE surface, 187, 198, 206, 214, 217,

220, 255, 266, 268, 278 of rigid molecule (top), 199 of semirigid molecule, 200

Redistribution of levels between the bands of a dyad, 283

Relaxation operator, 343 Resonance width, 65, 78 Resonant (periodic) orbit, 19, 76,

111, 253 Resonant torus, 19, 32, 69 Rigid molecule, 12, 165, 167, 187,

201, 246 Rotation Hamiltonian, 175, 177, 186,

187 in operator matrix form, 273,

274 of rigid molecule, 190, 201 of semirigid molecule, 190, 211,

212 Rotational deformation, 190, 216 Rotational spectrum, 188, 215, 268

Semirigid molecule, 156, 187, 201, 239

Separatrix, 49, 79, 206, 220, 253, 262, 263, 272, 285, 287, 291

SO(3) - invariant Hamiltonian, 280, 283

Spherical top, 190, 200, 215, 242 Splitting of dyad levels, 283 Stochastization of vibrations, 62

Index

Stretching vibration, 14, 71, 85, 129, 143, 157, 238, 347

Super-hyperfine splitting, 239, 240 Superfine splitting, 207, 237, 239,

240, 251 Symmetric top, 199 Symmetry

of RE surface, 242, 252 of split-up levels, 215

Symmetry analysis of rotation clusters, 214, 226,

242

Theory of catastrophes, 270 Thoma theorem, 268 TUnneling integral, 209, 228 TUnneling matrix, 187, 226, 227,

234, 238, 251, 254

Unitary transformation, 89, 154, 170

Valence coordinates, 179, 180, 184 Variables action-angle, 27, 35, 41 Vibration

Hamiltonian, 173, 176, 177 overtone, 185

Vibrational excitation, 254 Vibrational multiplet, 278 Vibrational relaxation, 26, 293 Vibrational spectrum, 23, 154, 253 Vibrational-rotational dyad, 273,

275,278 Vibrational-rotational excitation, 267 Vibrational-rotational Hamiltonian,

153, 170, 178 Vibrational-rotational spectrum, 25,

155, 157, 167, 179, 185, 255,291

Violation of symmetry, 189, 240, 250, 254, 269, 271

355