Publications by Dmitrií Sadovskií

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1 Publications by Dmitrií Sadovskií Below are listed 76 articles published in refereed journals and sorted by date of print. Borisov, A. V., Bolsinov, A. V., Nejshtadt, A. I., Sadovskií, D. A. & Zhilinskií, B. I., 2016 Nikolaí N. Nekhoroshev. Reg. & Chao. Dyn. 21(6), On the 70th Birthday of Nikolaí N. Nekhoroshev. Fontanari, D., Fassò, F. & Sadovskií, D. A., 2016 Quantum manifestations of Nekhoroshev stability. Phys. Lett. A 380, Sadovskií, D. A., 2016 Nekhoroshev s approach to Hamiltonian monodromy. Reg. & Chao. Dyn. 21(6), Sadovskií, D. A., 2016 Afterword to the paper by N. N. Nekhoroshev. Rus. J. Nonlin. Dyn. 12(3), Fassò, F., Fontanari, D. & Sadovskií, D., 2015 An application of Nekhoroshev theory to the study of the perturbed hydrogen atom. Math. Phys., Analysis and Geom. 18(1). Fontanari, D. & Sadovskií, D., 2015 Perturbations of the hydrogen atom by inhomogeneous static electric and magnetic fields. J. Phys. A: Math. Theor. 48(9), Senent, M. L., Dalbouha, S., Cuisset, A. & Sadovskii, D. A., 2015 Theoretical spectroscopic characterization at low temperatures of dimethyl sulfoxide: the role of anharmonicity. J. Phys. Chem. A 119(37), Cuisset, A., Drumel, M.-A. M., Hindle, F., Mouret, G. & Sadovskií, D. A., 2013 Rotational structure of the five lowest frequency fundamental vibrational states of dimethylsulfoxide. Chem. Phys. Lett. 586(Suppl. C), Cuisset, A. & Sadovskií, D. A., 2013 Gyroscopic destabilisation in polyatomic molecules. rotational structure of the low-frequency bending vibrational states ν 23 and ν 11 of dimethylsulfoxyde (DMSO). J. Chem. Phys. 138, /1 18. Cushman, R. H., Robbins, J. M. & Sadovskií, D. A., 2013 The sign exchange bifurcation in a family of linear Hamiltonian systems. In Kirillov, O. N. & Pelinovsky, D. E., eds., Nonlinear physical systems: spectral analysis, stability, and bifurcations, pages Wiley, New York. Cuisset, A., Pirali, O. & Sadovskií, D. A., 2012 Gyroscopic destabilization of molecular rotation and quantum bifurcation observed in the structure of the ν 23 fundamental of dimethylsulfoxyde. Phys. Rev. Lett. 109, Cuisset, A., Nanobashvili, L., Smirnova, I., Bocquet, R., Hindle, F., Mouret, G., Pirali, O., Roy, P. & Sadovskií, D. A., 2010 Far-infrared high resolution synchrotron FTIR spectroscopy of the ν 11 bending vibrational fundamental transition of dimethylsulfoxyde. Chem. Phys. Lett. 492, Efstathiou, K. & Sadovskií, D. A., 2010 Normalization and global analysis of perturbations of the hydrogen atom. Rev. Mod. Phys. 82(3), Sadovskií, D. A., 2010a On the geometry of resonant oscillator systems. Originally intended as a chapter in the collection of papers in Physics Reports edited by Louis Michel. 1

2 Sadovskií, D. A., 2010b Classical and quantum Hamiltonian monodromy: a case study of the hyperbolic circular billiard. This manuscript, intended as a popular chapter for physicists, was largely written in Sadovskií, D. A., Kozlov, D. N. & Radi, P. P., 2010 Direct absorption transitions to highly excited polyads 8, 10, and 12 of methane. Phys. Rev. A 82, Delos, J. B., Dhont, G., Sadovskií, D. A. & Zhilinskií, B. I., 2009 Dynamical manifestations of Hamiltonian monodromy. Ann. Phys. 324, Efstathiou, K., Lukina, O. V. & Sadovskií, D. A., 2009 Complete classification of qualitatively different perturbations of the hydrogen atom in weak near orthogonal electric and magnetic fields. J. Phys. A: Math. Theor. 42, /1 29. Delos, J. B., Dhont, G., Sadovskií, D. A. & Zhilinskií, B. I., 2008 Dynamical manifestations of Hamiltonian monodromy. Europhys. Lett. 83, 24003/1 6. Efstathiou, K., Lukina, O. V. & Sadovskií, D. A., 2008 Most typical 1:2 resonant perturbation of the hydrogen atom by weak electric and magnetic fields. Phys. Rev. Lett. 101, /1 4. Crogman, H., Boudon, V. & Sadovskií, D. A., 2007 Local modes of silane within the framework of stretching vibrational polyads. Europ. Phys. J. D 42, Efstathiou, K., Cushman, R. H. & Sadovskií, D. A., 2007a Fractional monodromy of the 1:( 2) resonance. Adv. Math. 209, Efstathiou, K., Sadovskií, D. A. & Zhilinskií, B. I., 2007b Classification of perturbations of the hydrogen atom by small static electric and magnetic fields. Proc. Roy. Soc. London, Ser. A 463, Sadovskií, D. A. & Zhilinskií, B. I., 2007 Hamiltonian systems with detuned 1:1:2 resonance: Manifestation of bidromy. Ann. Phys. 322, Nekhoroshev, N. N., Sadovskií, D. A. & Zhilinskií, B. I., 2006 Fractional Hamiltonian monodromy. Ann. H. Poincaré 7, Sadovskií, D. A. & Zhilinskií, B. I., 2006 Quantum monodromy and its generalizations and molecular manifestations. Mol. Phys. 104, Sanrey, M., Joyeux, M. & Sadovskií, D. A., 2006 Classical and quantum-mechanical plane switching in CO 2. J. Chem. Phys. 124, Efstathiou, K. & Sadovskií, D. A., 2005 Geometric Mechanics and Symmetry. The Peyresq Lectures, chap. No Polar Coordinates. Lectures by Richard Cushman, pages Cambridge University Press, Cambridge, UK. Kozin, I. N., Sadovskií, D. A. & Zhilinskií, B. I., 2005 Assigning vibrational polyads using relative equilibria: application to ozone. Spectrochim. Act. A 61, Cushman, R. H., Dullin, H. R., Giacobbe, A., Holm, D. D., Joyeux, M., Lynch, P., Sadovskií, D. A. & Zhilinskií, B. I., 2004 CO 2 molecule as a quantum realization of the 1:1:2 resonant swing-spring with monodromy. Phys. Rev. Lett. 93, /1 4. Efstathiou, K., Cushman, R. H. & Sadovskií, D. A., 2004a Hamiltonian Hopf bifurcation of the hydrogen atom in crossed fields. Physica D 194,

3 Efstathiou, K., Joyeux, M. & Sadovskií, D. A., 2004b Global bending quantum number and the absence of monodromy in the HCN CNH molecule. Phys. Rev. A 69, Efstathiou, K. & Sadovskií, D. A., 2004 Perturbations of the 1:1:1 resonance with tetrahedral symmetry: a three degree of freedom analogue of the two degree of freedom Hénon-Heiles hamiltonian. Nonlinearity 17, Efstathiou, K., Sadovskií, D. A. & Zhilinskií, B. I., 2004c Analysis of rotationvibration relative equilibria on the example of a tetrahedral four atom molecule. SIAM J. Appl. Dyn. Syst. (SIADS) 3, Giacobbe, A., Cushman, R. H., Sadovskií, D. A. & Zhilinskií, B. I., 2004 Monodromy of the quantum 1:1:2 resonant swing spring. J. Math. Phys. 45, Efstathiou, K., Sadovskií, D. A. & Cushman, R. H., 2003 Linear Hamiltonian Hopf bifurcation for point-group-invariant perturbations of the 1:1:1 resonance. Proc. Roy. Soc. London, Ser. A 459, Joyeux, M., Sadovskií, D. A. & Tennyson, J., 2003 Monodromy of the LiNC/NCLi molecule. Chem. Phys. Lett. 382, Grondin, L., Sadovskií, D. A. & Zhilinskií, B. I., 2002 Monodromy as topological obstruction to global action-angle variables in systems with coupled angular momenta and rearrangement of bands in quantum spectra. Physical Review A Atomic, Molecular, and Optical Physics 65, /1 15. Nekhoroshev, N. N., Sadovskií, D. A. & Zhilinskií, B. I., 2002 Fractional monodromy of resonant classical and quantum oscillators. Comptes Rendus Acad. Sci. Paris, Sér. I 335, Sadovskií, D. A., 2001 Symmetry and Perturbation Theory (SPT2001), chap. Normal forms, geometry, and dynamics of atomic and molecular systems with symmetry, pages World Scientific, Singapore. Proceedings of the international conference, Cala Gonone, Sardinia, Italy 6-13 May Van-Hecke, C., Sadovskií, D. A., Zhilinskií, B. I. & Boudon, V., 2001 Rotationalvibrational relative equilibria and the structure of quantum energy spectrum of the tetrahedral molecule P 4. European Physical Journal D 17, Cushman, R. H. & Sadovskií, D. A., 2000 Monodromy in the hydrogen atom in crossed fields. Physica D 142, Dhont, G., Sadovskií, D. A., Zhilinskií, B. I. & Boudon, V., 2000 Analysis of the unusual vibrational components of triply degenerate vibrational mode ν 6 of Mo(CO) 6 based on the classical interpretation of the effective rotation-vibration hamiltonian. Journal of Molecular Spectroscopy 201, Cushman, R. H. & Sadovskií, D. A., 1999 Monodromy in perturbed Kepler systems: hydrogen atom in crossed fields. Europhys. Lett. 47, 1 7. Sadovskií, D. A. & Zhilinskií, B. I., 1999 Monodromy, diabolic points, and angular momentum coupling. Phys. Lett. A 256,

4 Van-Hecke, C., Sadovskií, D. A. & Zhilinskií, B. I., 1999 Qualitative analysis of molecular rotation starting from inter-nuclear potential. Europ. Phys. J. D 7, Sadovskií, D. A. & Zhilinskií, B. I., 1998 Tuning the hydrogen atom in crossed fields between the Zeeman and Stark limits. Phys. Rev. A 57, Dabrowski, I. & Sadovskií, D. A., 1997 Spectra of rare gas hydrides. VI. the 4f complex and the electronic structure of KrD. Journal of Chemical Physics 107, Sadovskií, D. A. & Delos, J. B., 1996 Bifurcation of the periodic orbits of Hamiltonian systems: an analysis using normal form theory. Phys. Rev. E 54, Sadovskií, D. A., Zhilinskií, B. I. & Michel, L., 1996 Collapse of the Zeeman structure of the hydrogen atom in an external electric field. Phys. Rev. A 53, Sadovskií, D. A., Shaw, J. A. & Delos, J. B., 1995 Organization of sequences of bifurcations of periodic orbits. Phys. Rev. Lett. 75, Sadovskií, D. A. & Zhilinskií, B. I., 1995 Counting levels within vibrational polyads: generating function approach. J. Chem. Phys. 103, Amano, T., Chan, M. C., Civis, S., McKellar, A. R. W., Majewski, W. A., Sadovskií, D. A. & Watson, J. K. G., 1994 The infrared vibration-rotation spectrum of the D + 3 molecular ion: extension to higher vibrational and rotational quantum numbers. Canadian Journal of Physics 72, Dabrowski, I. & Sadovskií, D. A., 1994 Spectra of the rare gas hydrides. V. the np Rydberg series of KrD. Molecular Physics 81, Majewski, W. A., McKellar, A. R. W., Sadovskií, D. A. & Watson, J. K. G., 1994 New observations and analysis of the infrared vibration-rotation spectrum of H + 3. Can. J. Phys. 72, Sadovskií, D. A., Fulton, N. G., Henderson, J. R., Tennyson, J. & Zhilinskií, B. I., 1993 Nonlinear normal modes and local bending vibrations of H + 3 and D+ 3. Journal of Chemical Physics 99, Sadovskií, D. A. & Zhilinskií, B. I., 1993a Qualitative study of a model three-level Hamiltonian with SU(3) dynamical symmetry. Phy. Rev. A 48, Sadovskií, D. A. & Zhilinskií, B. I., 1993b Group-theoretical and topological analysis of localized rotation-vibration states. Phys. Rev. A 47, Dabrowski, I., DiLonardo, G., Herzberg, G., Johns, J. W. C., Sadovskií, D. A. & Vervloet, M., 1992 Spectra of the rare gas hydrides. iv. three new bands of argon deuteride involving a low-lying p rydberg state. Journal of Chemical Physics 97, Krivtsun, V. M., Sadovskií, D. A. & Snegirev, E. P., 1992a Study of the ν 1, ν 3 bands of 120 SnH 4. I. Diode laser spectroscopy. Proceedings of the SPIE The International Society for Optical Engineering 1724, Krivtsun, V. M., Sadovskií, D. A. & Zhilinskií, B. I., 1992b Study of the ν 1,ν 3 bands of 120 SnH 4. II. Semiclassical qualitative analysis: critical phenomena and diabolic points. Proceedings of the SPIE The International Society for Optical Engineering 1724,

5 Krivtsun, V. M., Sadovskií, D. A. & Snegirev, E. P., 1991 Rotational structure of 120 SnH 4 molecule: ν 1, ν 3 bands. Optics and Spectroscopy 70, Sadovskií, D. A., 1991 Standard decomposition of the product of spherical tensor equivalent operators. Physics Letters A 156, Davarashvili, O. I., Zhilinskií, B. I., Krivtsun, V. M., Sadovskií, D. A. & Snegirev, E. P., 1990 Experimental study of a sequence of quantum bifurcations leading to the crossover of a rotational multiplet. JETP Letters 51, Krivtsun, V. M., Sadovskií, D. A., Snegirev, E. P., Shotov, A. P. & Zasavitskií, I. I., 1990a Diode laser study of the ν 1 and ν 3 bands of the 120 SnH 4 molecule. J. Molec. Spectros. 139, Krivtsun, V. M., Sadovskií, D. A. & Zhilinskií, B. I., 1990b Critical phenomena and diabolic points in rovibrational energy spectra of spherical top molecules. Journal of Molecular Spectroscopy 139, Sadovskií, D. A., Zhilinskií, B. I., Champion, J. P. & Pierre, G., 1990 Manifestation of bifurcations and diabolic points in molecular energy spectra. Journal of Chemical Physics 92, Pierre, G., Sadovskií, D. A. & Zhilinskií, B. I., 1989 Organization of quantum bifurcations: crossover of rovibrational bands in spherical top molecules. Europhysics Letters 10, Sadovskií, D. A. & Zhilinskií, B. I., 1989 Contact transformations in tensor formalism. effective Hamiltonian and dipole moment for the ν 2, ν 4 dyad of tetrahedral molecules. Journal of Quantitative Spectroscopy and Radiative Transfer 42, Zhilinskií, B. I. & Sadovskií, D. A., 1989 Qualitative changes in the structure of rovibrational levels. Dyad ν 2, ν 4 of spherical top molecules. Bulletin of the Academy of Sciences of the USSR, Physical Series 53, Pavlov-Verevkin, V. B., Sadovskií, D. A. & Zhilinskií, B. I., 1988 On the dynamical meaning of the diabolic points. Europhysics Letters 6, Sadovskií, D. A. & Zhilinskií, B. I., 1988 Qualitative analysis of vibration-rotation hamiltonians for spherical top molecules. Molecular Physics 65, Sadovskií, D. A. & Zhilinskií, B. I., 1986 Theoretical analysis of spectroscopic constants for spherical tops: ν 2, ν 4 bands of AB 4 molecules. Journal of Molecular Spectroscopy 115, Zhilinskií, B. I. & Sadovskií, D. A., 1986a Invariant combinations of spectroscopic parameters of tetrahedral molecules. Moscow University Bulletin - Chemistry 27, Zhilinskií, B. I. & Sadovskií, D. A., 1986b Qualitative changes in the rotational structure of vibrational states with increasing angular momentum. Optics and Spectroscopy 61,

6 Sadovskií, D. A. & Zhilinskií, B. I., 1985 Comparative analysis of spectroscopic constants of tetrahedral molecules: ν 1 and ν 3 bands of silane and germane. Optics and Spectroscopy 58, articles published by November 29,