Tomio Y. Petrosky
logo Center for Complex Quantum Systems*
*formerly The Ilya Prigogine Center for Studies in Statistical Mechanics and Complex Systems
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Dr. Tomio Y. Petrosky       petrosky@physics.utexas.edu

  • Irreversibility and Foundation of Physics
  • Nonlinear and Nonintegrable Dynamical Systems
  • Complex Spectral Representations of Unstable Hamiltonian Systems
  • Kinetic Equations in Non-Equilibrium Physics
  • Matter-Field Interacting Systems
  • Quantum Coherence and Decoherence
  • Anomalous Decay Process of Electrons in Quantum Nano-wire

Complex Spectral Representation of the Hamiltonian and the Liouvillian in Nanocience Workshop
May 18-19, 2012, The University of Texas at Austin
Workshop Announcement
Workshop Program

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 Beaux-Arts 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 Petrosky--Selected 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 one-dimensional 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 one-dimensional molecular chain"
S. Tanaka, K. Kanki and T. Petrosky
Phys. Rev. B 80 094304

2009 "Two-channel 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 "Quasi-bound 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 one-dimensional semiconductor superlattice and optical absorption spectrum"
Satoshi Tanaka, Sterling Garmon and Tomio Petrosky
Phys. Rev. B 73, 115340

2005 "Strong Coupled Matter-Field and Non-Analytic Decay Rate of Dipole Molecules in a Waveguide"
T. Petrosky, Chu-Ong Ting, and Sterling Garmon
Phys. Rev. Letters 94, 043601

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

2004 "Stochastic Maxwell-Lorentz Equation in Radiation Damping"
T. Petrosky
International Journal of Quantum Chemistry 98, 103-111

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

2002 "Chaotic scattering and the magneto-Coulomb 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, 1417-1456

1999 "Transport Theory and Collective Modes II: Long-time tail and Green-Kubo Formalism"
T. Petrosky
Foundation of Physics 29, 1581-1605

1998 "Semigroup Representation of the Vlasov Evolution"
I. Prigogine and T. Petrosky
J. Plasma Physics 59, 611-618

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, 1-120

1997 "Liouville Extension of Quantum Mechanics: One-dimensional Gas with Delta Function Interaction"
T. Petrosky and G. Ordonez
Phys. Rev. A 56, 3507-3528

1996 "Extension of scattering theory for finite times: three-body scattering"
T. Petrosky, G. Ordonez and T. Miyasaka
Phys. Rev. A 53, 4075-4103

1996 "Poincaré Resonance and the Extension of Classical Dynamics"
T. Petrosky and I. Prigogine
Chaos, Solitons and Fractals 7, No. 4, 441-498

1995 "Long-time behaviour of self-dressing and indirect spectroscopy"
R. Passante, T. Petrosky and I. Prigogine
Physica A 218, 437-456

1994 "Complex Spectral Representation and Time-symmetry Breaking"
T. Petrosky and I. Prigogine
Chaos, Solitons and Fractals 4, No. 1, 311-359

1993 "Virtual Transitions, Self-Dressing and Indirect Spectroscopy"
R. Passante, T. Petrosky and I. Prigogine
Optics Communications 99, 55-60

1992 "Order and Disorder in the Approach to Equilibrium of a Classical Gas"
D. Driebe and T. Petrosky
J. Stat. Phys. 67, 369-394

1991 "Quantum Theory of Non-integrable Systems"
T. Petrosky, I. Prigogine and S. Tasaki
Physica A 173, 175-242

1990 "Quantum Zeno Effect"
T. Petrosky, S. Tasaki and I. Prigogine
Physics Letters A 151, 109-113

1990 "Laws and Events: The Dynamical Basis of Self-Organization"
T. Petrosky and I. Prigogine
Can. J. Phys. 68, 670-682

1989 "Subdynamics and Nonintegrable Systems"
T. Petrosky and H. Hasegawa
Physica A 160, 351-385

1988 "Poincaré's Theorem and Unitary Transformations for Classical and Quantum Theory "
T. Petrosky and I. Prigogine
Physica A 147, 439-460

1988 "An Alternative to Quantum Theory"
I. Prigogine and T. Petrosky
Physica A 147, 461-486

1987 "Intrinsic Irreversibility and Quantum Theory"
I. Prigogine and T. Petrosky
Physica A 147, 33-47

1986 "Chaos and Cometary Clouds in the Solar System"
T. Petrosky
Physics Letters A 117, 328-332

1985 "Chaos and Nonunitary Evolution in Nonintegrable Hamiltonian Systems"
T. Petrosky
Phys. Rev. A 32, 3716-3725

1985 "Limit of Classical Chaos in Quantum Systems"
T. Petrosky and W. C. Schieve
Phys. Rev. A 31, 3907-3911

1984 "Chaos and Irreversibility in a Conservative Nonlinear Dynamical System with a Few Degrees of Freedom"
T. Petrosky
Phys. Rev. A
29, 2078-2091

1982 "The Derivation of the Quantum Kinetic Equation and Two-Time Resolvent Method"
T. Petrosky and W. C. Schieve
J. Stat. Phys. 29, 711-744

1979 "Theory of Irreversible Process in Non-equilibrium Quantum System I, General Formalism "
N. Mishima, T. Petrosky and R. Suzuki
J. Stat. Phys. 21, 347-392

1979 "Theory of Irreversible Process in Non-equilibrium Quantum System II, Cluster Expansion and Contraction for Homogenous System "
T. Petrosky
J. Stat. Phys 21, 393-413

1976 "Quantum Statistical Hierarchy Equation in Nonequilibrium Systems "
N. Mishima, T. Petrosky and M. Yamazaki
J. Stat. Phys 14, 359-380

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