 
Short Biography
Tomio Petrosky is currently a Senior Research Scientist at the Center for Complex Quantum Systems at the University of Texas in Austin. He received his Undergraduate, Masters and Ph.D. degrees from the Department of Physics, Science University of Tokyo . Dr. Petrosky is the author of more than 100 articles. He was awarded the "Le Prix Georges Vanderlinden" from Académie Royale, des Sciences, des Lettres & des BeauxArts de Belgique on December 14, 1991. He was presented the "Métropole Award" at the XXth International Sovlay Conference on Chemistry in Brussels, Belgium on November 30, 1995. He was the recipient of the "Peter the Great" Gold Medal presented by the Russian Academy of the Natural Sciences in 2000. Dr. Petrosky is a Member of the European Academy of Arts, Sciences and Humanities, Paris, France

Tomio Y PetroskySelected Publications Top of the Page  


2010  "Dual Spaces Structure of Quantum Kinetic Equations— Quantum Systems vs Classical Systems" Buang Ann Tay and Tomio Petrosky Prog. Theor. Phys. Supplement 184 533 


2010  "Accumulation point in the spectrum of the collision operator for a onedimensional polaron system" K. Kanki, S. Tanaka, B. A. Tay, and T. Petrosky Prog. Theor. Phys. Supplement 184 523 


2010  "Hofstadter’s butterfly type of singular spectrum of a collision operator for a model of molecular chains" T. Petrosky, N. Hatano, K. Kanki, and S. Tanaka Prog. Theor. Phys. Supplement 184 457 


2009  "Emergence of quantum hydrodynamic sound mode of a quantum
Brownian particle in a onedimensional molecular chain" S. Tanaka, K. Kanki and T. Petrosky Phys. Rev. B 80 094304 


2009  "Twochannel quantum wire with an adatom impurity: Role of the van Hove singularity in the quasibound state in continuum, decay rate amplification and the Fano effect" S. Garmon , H. Nakamura, N. Hatano and T. Petrosky Phys. Rev. B 80 115318 


2008  "Biorthonormal eigenbasis of a Markovian master equation for the quantum Brownian motion" B. A. Tay and T. Petrosky J. Math. Phys. 49113301 


2008  "Some Properties of the Resonant State in Quantum Mechanics and Its Computation" Naomichi Hatano, Keita Sasada, Hiroaki Nakamura and Tomio Petrosky Progess of Theoretical Physics 119187 


2007  "Quasibound states in continuum in a two channel quantum wire with an adatom
" Hiroaki Nakamura, Naomichi Hatano, Sterling. Garmon and Tomio Petrosky Virtual Journal of Nanoscale Science & Technology 16 


2007  "Electron Trapping in a 1D Semiconductor Superlattice with Multiple
Impurities
" S. Tanaka, S. Garmon, G. Ordonez, and T. Petrosky Virtual Journal of Nanoscale Science & Technology 16 


2007  "Thermal Symmetry of Markovian Master Equation" Ban Ann Tay and Tomio Petrosky Phys. Rev. A 76042102 


2007  "Quasibound States in Continuum in a Two Channel Quantum Wire with an Adatom" Hiroaki Nakamura, Naomichi Hatano, Sterling. Garmon and Tomio Petrosky Phys. Rev. Letters 99210404 


2007  "Electron Trapping in a 1D Semiconductor Superlattice with Multiple
Impurities" S. Tanaka, S. Garmon, G. Ordonez, and T. Petrosky Phys. Rev. B 76153308 


2007  "On von Neumann's Hypothesis of Collapse of the Wave
Function and Quantum Zeno Paradox in Continuous Measurement
" Tomio Petrosky and Dongil Kim Journal of Physics by Institute of Physics 


2007  "Quantum and classical dynamics of dissipative systems" Ilya Prigogine, Tomio Petrosky and Gonzalo Ordonez Special Volume in Memory of Ilya Prigogine, Advances in Chemical Physics Vol. 135 (John Wiley & Sons, Hoboken, New Jersey) 


2006  "Complex Systems and the The Arrow of Time" Tomio Yamakoshi Petrosky Sereis of Complex Systems Vol.7 (in Japanese) (Kyoritu Shuppan, Tokyo) 


2006  "Nonanalytic enhancement of the charge transfer from adatom to onedimensional semiconductor superlattice and optical absorption spectrum" Satoshi Tanaka, Sterling Garmon and Tomio Petrosky Phys. Rev. B 73, 115340 


2005  "Strong Coupled MatterField and NonAnalytic Decay Rate of Dipole Molecules in a Waveguide" T. Petrosky, ChuOng Ting, and Sterling Garmon Phys. Rev. Letters 94, 043601 


2004  "Resonance overlap, secular effects, and nonintegrability: An approach from ensemble theory" ChunBiu Li, Dean J. Driebe, and T. Petrosky Phys. Rev. E 69, 066120 


2004  "Stochastic MaxwellLorentz Equation in Radiation Damping" T. Petrosky International Journal of Quantum Chemistry 98, 103111 


2003  "Classical radiation damping. Role of nonintegrability" T. Petrosky, G. Ordonez and I. Prigogine Phys. Rev. A 68, 022107 


2002  "Chaotic scattering and the magnetoCoulomb map" B. Hu, W. Horton and T. Petrosky Phys. Rev. E 65, 056212 


2001  "Space time formulation of quantum transitions'" T. Petrosky, G. Ordonez and I. Prigogine Phys. Rev. A 64, 062101 


2001  "Quantum transitions and dressed unstable states" G. Ordonez, T. Petrosky and I. Prigogine Phys. Rev. A 63, 052106 


2000  "Quantum transitions and nonlocality" T. Petrosky, G. Ordonez and I. Prigogine Phys. Rev. A 62 42106 


1999  "Transport Theory and Collective Modes I: Case of moderately dense gases" T. Petrosky Foundation of Physics 29, 14171456 


1999  "Transport Theory and Collective Modes II: Longtime tail and GreenKubo Formalism" T. Petrosky Foundation of Physics 29, 15811605 


1998  "Semigroup Representation of the Vlasov Evolution" I. Prigogine and T. Petrosky J. Plasma Physics 59, 611618 


1997  "The Liouville Space Extension of Quantum Mechanics" T. Petrosky and I. Prigogine Advances in Chemical Physics Volume 99, eds. I. Prigogine and S. Rice John Wiley and Sons, 1120 


1997  "Liouville Extension of Quantum Mechanics: Onedimensional Gas with Delta Function Interaction" T. Petrosky and G. Ordonez Phys. Rev. A 56, 35073528 


1996  "Extension of scattering theory for finite times: threebody scattering" T. Petrosky, G. Ordonez and T. Miyasaka Phys. Rev. A 53, 40754103 


1996  "Poincaré Resonance and the Extension of Classical Dynamics" T. Petrosky and I. Prigogine Chaos, Solitons and Fractals 7, No. 4, 441498 


1995  "Longtime behaviour of selfdressing and indirect spectroscopy" R. Passante, T. Petrosky and I. Prigogine Physica A 218, 437456 


1994  "Complex Spectral Representation and Timesymmetry Breaking" T. Petrosky and I. Prigogine Chaos, Solitons and Fractals 4, No. 1, 311359 


1993  "Virtual Transitions, SelfDressing and Indirect Spectroscopy" R. Passante, T. Petrosky and I. Prigogine Optics Communications 99, 5560 


1992  "Order and Disorder in the Approach to Equilibrium of a Classical Gas" D. Driebe and T. Petrosky J. Stat. Phys. 67, 369394 


1991  "Quantum Theory of Nonintegrable Systems" T. Petrosky, I. Prigogine and S. Tasaki Physica A 173, 175242 


1990  "Quantum Zeno Effect" T. Petrosky, S. Tasaki and I. Prigogine Physics Letters A 151, 109113 


1990  "Laws and Events: The Dynamical Basis of SelfOrganization" T. Petrosky and I. Prigogine Can. J. Phys. 68, 670682 
 
1989  "Subdynamics and Nonintegrable Systems" T. Petrosky and H. Hasegawa Physica A 160, 351385 


1988  "Poincaré's Theorem and Unitary Transformations for Classical and Quantum Theory " T. Petrosky and I. Prigogine Physica A 147, 439460 


1988  "An Alternative to Quantum Theory" I. Prigogine and T. Petrosky Physica A 147, 461486 


1987  "Intrinsic Irreversibility and Quantum Theory" I. Prigogine and T. Petrosky Physica A 147, 3347 


1986  "Chaos and Cometary Clouds in the Solar System" T. Petrosky Physics Letters A 117, 328332 


1985  "Chaos and Nonunitary Evolution in Nonintegrable Hamiltonian Systems" T. Petrosky Phys. Rev. A 32, 37163725 


1985  "Limit of Classical Chaos in Quantum Systems" T. Petrosky and W. C. Schieve Phys. Rev. A 31, 39073911 


1984  "Chaos and Irreversibility in a Conservative Nonlinear Dynamical System with a Few Degrees of Freedom" T. Petrosky Phys. Rev. A 29, 20782091 


1982  "The Derivation of the Quantum Kinetic Equation and TwoTime Resolvent Method" T. Petrosky and W. C. Schieve J. Stat. Phys. 29, 711744 


1979  "Theory of Irreversible Process in Nonequilibrium Quantum System I,
General Formalism
" N. Mishima, T. Petrosky and R. Suzuki J. Stat. Phys. 21, 347392 


1979  "Theory of Irreversible Process in Nonequilibrium Quantum System II,
Cluster Expansion and Contraction for Homogenous System
" T. Petrosky J. Stat. Phys 21, 393413 


1976  "Quantum Statistical Hierarchy Equation in Nonequilibrium Systems
" N. Mishima, T. Petrosky and M. Yamazaki J. Stat. Phys 14, 359380 
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