Publications: Sorted By Related Papers. Stabilization Calculations and Theory and Related Papers

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1 Publications: Sorted By Related Papers Stabilization Calculations and Theory and Related Papers The Stabilization Method of Calculating Resonance Energies: A Model Problem, with A. Hazi, Phys. Rev. A1, 1109 (1970). Stabilization theory of Scattering with V.A. Mandelshtam and T.R. Ravuri, J. Chem. Phys, (1994). New Methods For Use In Scattering Calculations: The Spectral Projection and The Stabilization Method, Chapter in Dynamics Of Molecules and Chemical Reactions, ed. R.W. Wyatt and J.H. Zhang, M. Decker Inc., NY 1995, with V. A. Mandelshtam. Calculation of the Density of Resonance States Using the Stabilization Method, with V. Mandelshtam and T.R. Ravuri, PRL, 70, 1932 (1993). L2 Stabilization Theory of Dynamics: Dissociative Photoabsorption, with V.A. Mandelshtam, Phys. Rev. A, Brief Report, Vol. 48(1) 818 (1993). The Evaluation of Microcanonical and Canonical Rate Constants Using the Stabilization Theory of Dynamics, with V.A. Mandelshtam, J. Chem. Phys, (1993). Obtaining Partial Widths with Siegert Wavefunctions, with R. Yaris, Chem. Phys. Lett, 66, 505 (1979). The Rotated Coordinate Method and It s Relation to the Stabilization Method, with R. Yaris, Comments on Atomic and Molecular Physics IX,73 (1980). Resonance Partial Widths and Partial Photoionization Rate Using the Rotated Coordinate Method, with T. Noro, J. Phys, 13, L377 (1980). Stabilization and Quantum Chemistry: Qualitative Aspects of Resonances in Electron-Atom and Electron-Molecule Scattering, Excitiation and Reactions, with G.V. Nazaroff and A. Golebiewski, J. Chem. Phys, 45, 2873 (1966). Models, Interpretations, and Calculations Concerning Resonant Electron Scattering Processes in Atoms and Molecules, Adv. Chem. Phys, XVII (1970). Proposed Theory of Calculating the Energy of Negative Ion Resonant

2 Elastic Scattering States of Electron Spectroscopy, with J.K. Williams,. J.Chem. Phys, 42, 4063 (1965) Resonant States of H 2 -, with I. Eliezer, J.K. Williams. Jr., J. Chem. Phys, 47, 2165 (1967). Electron Scattering, Tools For Experimental Interpretation: On the Angular Dependence of Scattering Products in Electron-Molecule Resonant Excitation and in Dissociative Attachment, with T.F. O Malley, Phys. Rev, 176, 207 (1968). The Possibility of Experimental Separation of Resources and Cusps From Background in Electron Scattering, with C. Jung, Phys. Rev, A23, 1115 (1981). Resonance Scattering of the Slow Electrons from H 2 and CO Angular Distributions, with H.Ehrhardt, L. Langhans and F. Linder, Phys. Rev, 173, 222 (1968). Theoretical Interpretation of the Electron Scattering Spectrum of CO 2, with C.R. Claydon and G.Segal, J. Chem. Phys, 52, 3387 (1970). The Theory of High Molecular Vibrations Assignment and Extracting Dynamics from Experimentally and Theoretically Obtained Spectroscopic Hamiltonians in the Complex Spectral and Classically Chaotic Regions, C. Jung and H.S.Taylor, J. Phys. Chem. A, 111, (2007) The Fock Space Method of Vibrational Analysis, C.Jung and H.S.Taylor, J. Chem. Phys. 132, (2010) State-by-State Assignment of the Bending Spectrum of Acetylene at cm-1: A Case Study of Quantum Classical Correspondence, with M. P. Jacobson, C. Jung, and R.W. Field, J. Chem. Phys, 111, (1999). Extracting the CH Chromophore Vibrational Dynamics of CHBrCIF Directly from Spectra: Unexpected Constants of the Motion and Symmetries, C. Jung, E. Ziemniak and H.S. Taylor, J. Chem.Phys, 115, (2001). Semi-Classical Assignment of the Vibrational Spectrum of N 2 O, H.Waalkens,C. Jung and H.S. Taylor, (2002).

3 Assignment and Extraction of Dynamics of a Small Molecule with a Complex Vibration Spectrum: Thiophosgene, C. Jung, E. Silbert, H.S. Taylor, J. Phys. Chem. A, 110, , (2006). Extraction of the Vibrational Dynamics from Spectra of Highly Excited Polyatomics: DCO, C. Jung, H.S. Taylor and E. Atilgan, J.Phys. Chem. A, 106, (2002). Mode Specificity, Non Linear Dynamics, Classical Analysis: A Quantum Analogue of the Classical KAM Theorem: Fundamentals of Localization and Stabilization in Quantum Theory, with G. Hose, Phys. Rev. Lett, 51, 947 (1983). Mode Localization in Highly Excited Vibrational States: Fundamentals of Structure in Overtone and Multiphoton Spectra, with G. Hose, Chem. Phys, 84, 375 (1984). Mode Specificity of Unimolecular Rate Constants In The Henon-Heiles System, with G. Hose,C.W.McCurdy,Chem. Phys.. Lett.,99, 342 (1983) Spectra in the Chaotic Region: Line Widths and IVR Rates from Classical Mechanics, with J.M. Gomez Llorente, Phys. Rev, A (1990) Classical Mechanical Analysis of the Experiment High Energy Spectrum of the Sodium Trimer Molecule, with J.M.Gomez Llorente and E.Pollak, Phys. Rev. Lett, (1989). Specra in the Chaotic Region: Methods for Extracting Dynamic Information, with J.M.G. Llorente, J. Zakrzewski and K.C. Kulander, J.Chem. Phys, 90, (1989). Signal Processing(Generic): Harmonic Inversion of Time Signals and its Applications with V.A. Mandelshtam, J. Chem. Phys. 107, 6756 (1997). Three Novel High-Resolution Nonlinear Methods for Fast Signal Processing, Dz. Belkic, P.A. Dando, J Main, and H.S. Taylor, J. Chem. Phys. 113, 6542(2000). Spectral Analysis of The Time Correlation Function for a Dissipative Dynamical System Using Filter Diagnolization, with V.A. Mandelshtam, Phys. Rev. Lett, 78, (1997)

4 Decimated Signal Diagnolization for Obtaining the Complete Eigenspectra of Large Matrices, D. Belkic, P.A. Dando H.S. Taylor, and J.Main, Chem. Phys, Lett, 315, (1999). Signal Processing, Semi-Classical Mechanics In Atomic and Molecular Physics and Quantization In Chaotic Systems Periodic Orbit Quantization by Harmonic Inversion of Gutzwiller s Recurrence Function, with J.Main, V.A. Mandelshtam, Phys. Rev. Lett, 79, 825 (1997). Semi Classical Quantization by Pade Approximant of Periodic Orbit Sums, with J. Main, P.A. Dando and D. Belkic, Europhys. Lett., 48, (3), (1999). High Resolution Quantum Recurrence Spectra: Beyond the Uncertainty Principle, with J. Main, V.A. Mandelshtam, Phys. Rev. Lett 78, 4351 (1997). Semi-classical Quantization via Adabiatic Switching I. Choice of Tori and Initial Conditions for Two Dimensional Systems, with J. Zakrzewski and S.Saini, Phys. Rev, A 38, (1988). Semi-Classical Quantization via Adabiatic Switching II. Choice of Tori and Initial Conditions for Multi-Dimensional Systems, with S. Saini and J. Zakrzewski, Phys. Rev., A (1988). Semiclassical Quantization via Adiabatic Invariance of Classical Action- Variables, with T.P. Grozdanov and S. Saini, Phys. Rev, A33, 55(1986) Semi-Classical Quantization by Using the Method of Adiabatic Switching of the Perturbation: Fermi Resonance, with T.P. Grozdanov and S.Saini, J. Chem. Phys, 84, 3243 (1986). On Quantization of Two-Dimensional Harmonic Oscillator With 2:1 Resonance, with T.P. Grozdanov and S. Saini, J. Phys, A.19, 691 (1986). An application of Error Reduction and Harmonic Inversion schemes to the Semi Classical Calculation of Molecular Vibrational Energy levels, S. Kunikeev, E. Atilgan, H.S. Taylor, J. Chem. Phys. 120, 6478 (2004) An Accurate Theoretical Prediction of the Zero Point Vibrational Energy of CH 5 +, A. Kaledin, S. Kunikeev, H.S. Taylor, J. Phys. Chem. A 108, , (2004). Decimated

5 Signal Diagnolization for Fourier Transform Spectrometry, D. Belkic, P.A. Dando, J. Main, H.S. Taylor and S. K. Shin, J. Chem. Phys, 104, (2000). Classical, Semi Classical, and Quantum investigations of the Four Sphere Scattering System, J. Main, E. Atilgan, H.S. Taylor, and G. Wunner, Phys. Review, E 69, (2004). Superiority of Semi classical Over Quantum Mechanical Calculations for a Three Dimensional System, J.Main, G.Wunner,E. Atilgan, H.S. Taylor and P.A. Dando, Phys. Lett, A, 305, 176, (2002) A Born-Oppenheimer Adiabatic Mechanism for Regularity of States in the Quantum Stadium Billiard, with Y.Y Bai, G.Hose and K. Stefanski, Phys. Rev, A31, 2821 (1985). Semi-Classical Eigenvalues Using the Classical Born-Oppenheimer Adiabatic Approximation, with S. Saini, G. Hose and K. Stefanski, Phys, Chem. Phys. Lett, 116, 35 (1985). Calculation of Energy Levels In Dense Spectral Regions Using Wave Packet Propagation A Simple Recursion Polynomial Expansion of the Green s Function with Absorbing Boundary Conditions: Application to the Reactive Scattering, with V.A Mandelshtam, J. Chem. Phys, 103, 2903(1995). Recursion Polynomial Expansion of the Green s Functions with Absorbing Boundary Conditions. Calculations of Resonances of HCO by Filter Diagnolization, with T.P. Grozdanov, V.A. Mandelshtam, J. Chem. Phys, 103, 7990 (1995) Bound States and Resonances of the Hydroperoxyl Radical HO 2. An Accurate Quantum Mechanical Calculation Using Filter Diagnolalization, with V.A. Mandelshtam and T.P. Grozdanov, J. Chem. Phys, 103, (1995). The Collisional Recombination Reaction: H+O 2 +M HO 2 +M. Quantum Mechanical Study Using Filter Diagonalization, with V.A.Mandelshtam and W. H. Miller, J. Chem. Phys, 105, 496 (1996).

6 A Low-Storage Filter Diagnolization Method for Quantum Eigenenergy Calculation or for Spectral Analysis of Time Signals, with V.Mandelshtam, J. Chem. Phys, 106, (1997). The Quantum Resonance Spectrum of the H 3 + Molecular Ion for J=0. Mandelshtam, J. Chem. Soc, Faraday Transaction, 93, (1997). Signal Processing and Denoising NMR Increasing Sensitivity in Determining Chemical Shifts in One Dimensional Lorentzian NMR Spectra, H. S. Taylor, Ralf Haiges, and Allan Kershaw, J. Phys. Chem. A, 2013, 117 (16), ,. DOI /jp310725k Saving Measurement Time in 13C NMR Spectroscopy, Sharif D. Kunikeev, and Howard Taylor, J. Phys. Chem. A, 108, , (2004) A new signal processing method to observe weak 31 P and 17 O NMR peaks, S. Kunikeev, J.J. Pan, A. Kershaw, C. McKenna, H.S. Taylor, J. Organometalic Chem. 690, , (2005). New Signal Processing Method for Faster Observation of Natural Abundance 15 N NMR Spectra and its application to N 5 +, S.D.Kunikeev, H.S.Taylor, T.Schroer, R.Haiges, C.J.Bigler Jones,and K.O. Christe, Inorganic Chemistry, 45, , (2005). Many Body Greens Function Technique In Atomic and Molecular Physics: Many-Body Methods Applied to Electron Scattering from Atoms and Molecules. Inelastic Processes, with Gy. Csanak and R.Yaris, Phys. Rev,3, 1322 (1971). Green s Function Technique in Atomic and Molecular Physics, with Gy. Csanak and R. Yaris, Adv. Atom. Mol. Phys. VIII (1971), Academic Press, New York. Exact and Semiempirical Analysis G.R.P.A Optical Pot, with Gy. Csanak, Phys. Rev, A6, 1934 (1972). Application of Many-Body Green s Function to the Scattering and Bound State Properties Helium, with B.S. Yaralagadda, Gy. Csanak, B. Schneider and R. Yaris, Phys. Rev, A7, 146 (1973).

7 Many-Body Theory of the Generalized Optical Potential for Electron- Atom(Molecule) Inelastic Scattering, with Gy. Csanak and Tripathy, J. Phys, B6, 2040 (1973). Ab Initio Effective Potentials Derived from Many-Body Green s Functions Theory: Application to Li, with B. Schneider, R. Yaris B.S. Yarlagadda, Chem. Phys. Lett, (1973). The Application of First-Order-Many-Body Theory to the Calculation of the Differential and Integral Cross Sections for the Electron Impact Excitation of the 2 1 S, 2 1 P, 2 3 S, 2 3 P States of Helium, with L.D.Thomas, Gy. Csanak and B.S. Yarlagadda, J. Phys, B7, 1719 (1974). Analytical and Numerical Procedures in the Application of Many-Body Green s Functions Methods to the Electron-Atom Scattering Problems, with L.D. Thomas, B.S. Yaralagadda, By. Csanak, Com. Phys. Communications 6, 316 (1973). Adiabatic Limit and Nonadiabatic Effects in the Second Order Transition Potential for Inelastic Electron-Atom Scattering with Gy. Csanak, J. Phys, B6, 2055 (1973) Many-Body Green s Function Theory of Electron Impact Ionization, with B.S. Yarlagadda, J.Phys, B8, 2041 (1975). A Many-Body Green s Function Method for Electron Scattering From Open Shell Systems, with R. Yaris, Phys. Rev, A12, 1751 (1975). An Ab Intio Effective Potential for Two Particles in the Field of the Core: A Reduction of N+2 Electron Problem to Two Electron Problem, with S.W. Wang and R Yaris, Chem.Phys, 14, 53 (1976). Effective One-Electron Operator for Discrete and Ionizing Transitions in Many-Body and Model One-Electron Theories, with S.W. Wang, J.Phys, B38, 2654 (1975). Many-Body Green s Function Theory of Electron Impact Ionization; Coincident Ionization of Helium, with K.L. Baluja, J.Phys, B9, 829 (1976). Elastic Electron-Helium Scattering I. A Theoretical Approach, with T. Scott, J.Phys. B: Atomic and Molecular, 12, 3367 (1979). Elastic Electron-Helium Scattering II. Application of Many-Body Theory,with T. Scott, J. Phys. B: Atom. Mol. Phys, 12, 3385 (1979).

8 A Survey of Many Body Theory Applied to Electron-Atom (Molecule) Scattering, with P. Driessen and T.Scott, Physical Scripta, 21, 272 (1980) Miscellaneous Second Order Perturbation Calculations for the Hydrogen Zeeman Effect, with T.P. Grozdanov, J. Phys, B19, 4075 (1986). Ionization of a Classical Hydrogen Atom by a Periodic Impulsive Electric Field, with T.P. Grosdanov, J. Phys, B20, 3683 (1987). Spectra Projection Approach to the Quantum Scattering Calculations, with V.A. Mandelshtam, J. Chem. Phys, 102, 7390 (1995).