William C. Schieve
logo Center for Complex Quantum Systems*
*formerly The Ilya Prigogine Center for Studies in Statistical Mechanics and Complex Systems
Prof. William C. Schieve       fschieve@dishmail.net

  • Many-Body Relativistic Particle Mechanics
  • Relativistic Bose-Einstein Condensation
  • Relativistic Chaos
  • Ultra-High-Temperature Thermodynamics
  • Classical-Quantum Correspondence
  • Quantum Statistics of the Micromaser
  • Chaos and Limit Cycles in Hopfield Neural Nets

Short Biography

William C. Schieve is currently Professor Emeritus of Physics at the Center for Complex Quantum Systems at the University of Texas in Austin. He received his undergraduate degree from Reed College in Portland, Oregon and his masters and Ph.D. from Lehigh University in Bethlehem, Pennsylvania. Prof. Schieve is the author of more than 100 articles and has edited five books in the field of non-equilibrium statistical mechanics and chaos. His recently completed a new book with his student Matthew Trump called Classical Relativistic Many-Body Dynamics.

In 1986, Prof. Schieve received an A.S.E.E. summer award at N.O.S.C. for work on the non-linear and stochastic dynamics of the superconducting quantum interference device. In 1987, he received the Senior Humboldt Prize and a University Institute Award for a sabbatical leave to the Max-Planck Institute for Quantum Optics, Garching. There, Prof. Schieve worked on chaos in the S.Q.U.I.D., particularly the effects of noise both quantum and classical, resulting in a semi-classical perturbation analysis of the mean field description of the laser.

In 1989, he again received the A.S.E.E. award to N.O.S.C. where a series of papers were begun on a new non-linear dynamics model of the Hopfield Neural Network. A seminal result was achieved showing how a large network by means of the "slaving" principle could be viewed as effectively a one or two or few simple neuron dynamical system. He later helped to achieve the simplest example of chaos in such a system.

He has been a Visiting Professor at the Univeristy of Ulm in summer 1996, 1997 and 1999.

Recent Books

Classical Relativistic Many Body Dynamics
(with Matthew A. Trump)
Kluwer Academic Publishers, Dordrecht

Instabilities, Bifurcations and Fluctuations in Chemical Systems
(with L.E.Reichl), editors
University of Texas Press, Austin and London

William C. Schieve--Recent Journal Articles       Top of the Page

2005 "Covariant relativistic statistical mechanics of many particles"
Foundation of Physics 35, No. 8

2004 "Derivation of the Onsager principle from large deviation theory"
(with Brian LaCour)
Physica A331

2003 "Comment on 'Collective effects and trapping states by quantum trajectory treatment of micromaser dynamics'"
(with David B. Johnson)
Phys. Rev. A67

2003 "Entrainment control in a noisy neural system"
(with Diek Wheeler)
Phys. Rev. E67

2003 "Nonsingularity of Flat Robertson-Walker Models in the Special Relativistic Approach to Einstein's Equations"
(with J. Brian Pitts)
Foundation of Physics33

2002 "Macroscopic Determinism in Interacting Systems Using Large Deviation Theory"
(with Brian La Cour)
J. Stat. Phys.107

2001 "Detection statistics in the micromaser"
(with David B. Johnson)
Physical Review A 63

2001 "Resonant energy exchange between a moving boundary and radiation modes of a cavity"
(with Carl K. Cole)
Physical Review A 64

2001 "Detection statistics in the Micromaser"
(with David B. Johnson)
Physical Review A 63, 033808

2000 "Tsallis maximum entropy principle and the law of large numbers"
(with Brian LaCour)
Physical Review E 62, 7494

2000 "A Comment on the Tsallis Maximum Entropy Principle"
(with Brian LaCour)
Physical Review E 62

2000 "Macrosopic Determinism of Noninteracting Particles Using Large Deviation Theory"
(with Brian LaCour)
Journal of Statistical Physics 99

1999 "Quasi Markovian Behavior in Mixing Systems"
(with Brian LaCour)
Physica D 133

1999 "On the Form of Parametrized Gravitation in Flat Spacetime"
(with J. Brian Pitts)
Foundations of Physics 29

1999 "Theory of Detection in the Micromaser"
(with R. R. McGowan)
Physical Review A 59, No. 1

1999 "Macroscopic Determinism in Non-Interacting Systems Using Large Deviation Theory"
(with R. R. McGowan)
Physica D

1998 "Perihelion Precession in the Special Relativistic Two-Body Problem"
(with Matthew A.Trump)
Foundations of Physics 28, 1433

1998 "Classical Scattering in an Invariant Coulomb Potential"
(with Matthew A.Trump)
Foundations of Physics 28, 1211
[ abstract ]

1997 "Stability and Chaos in an Inertial Two Neuron System"
(with Diek W. Wheeler)
Physica D 105, 267

2000 "Calculation of Eignevalues of a Strongly Chaotid Sysem Using gaussian Wave-Packet Dynamics"
(with Arjendu Pattanyak)
Physical Review E 56

1997 "Quantum Chaotic Attractor in a Dissipative System"
(with Brian LaCour)
Physical Review Letters 78

1997 "Predicting Two Dimensional Hamiltonian Chaos"
(with Arjendu Pattanayak)
Zeitschrift fur Naturforshung52a

1997 "Semiquantal and Semiclassical dynamics and Chaos"
(with Arjendu Pattanayak)
quantum Classical Correspondence: Proceedings of the 4th Drexel Symposium on quantum Non-Integrability ed. D.H. Feng and B.L. Hu (International Press)

1997 "Off-Shell Dynamics in Flat Spacetime"
(with Matthew A. Trump)
Foundations of Physics 27, 384
[ abstract ]

1997 "The Synchronization Problem in Covariant Relativistic Mechanics"
(with Matthew A. Trump)
Foundations of Physics 27, 1
[ abstract ]

1997 "Micromaser with Injected Phase"
(with Rebecca R. McGowan)
Phys. Rev. A 56, 2373
[ abstract ]

1997 "Micromaser Linewidth"
(with Rebecca R. McGowan)
Phys. Rev. A 55, 3813
[ abstract ]

1996 "New Relativistic High-Temperature Bose-Einstein Condensation"
(with L. Burakovsky and L.P. Horwitz)
Phys. Rev. D 54, 4029
[ abstract ]

1996 "Semiquantal and Semiclassical Dynamics and Chaos"
(with A. K. Pattanayak)
[ abstract ]

1996 "Predicting Two-dimensional Hamiltonian Chaos"
(with A. K. Pattanayak)
Phys. Rev. A 54,
[ abstract ]

1996 "Gaussian Effective Potential: Computation of Eigenvalues"
(with G.A. Luna-Acosta, K. Na and A. Krokhin)
Phys. Rev. E 53, 3271-3283
[ abstract ]

1995 "Towards a Realistic Equation of State for Strongly Interacting Matter"
(with L. Burakovsky and L. P. Horwitz)
Found. Phys. Letters ,
[ abstract ]

1995 "Semiquantal Corrections to Stochastic Resonance"
(with Douglas O. Reale and Arjendu K. Pattanayak)
Phys. Review E 51,
[ abstract ]

1995 "Nonlinear Resonance in Neuron Dynamics"
(with Scott Rader, Diek W. Wheeler and Pranab Das)
Zeitschrift fur Naturforsch. 51a,
[ abstract ]

1995 "Radiation Modes of a Cavity with a Moving Boundary"
(with C. Cole)
Phys. Rev. A 52,
[ abstract ]

1995 "A Bifurcation Analysis of the Four-Dimensional Generalized Hopfield Neural Network"
(with P.K. Das)
Physica D 88,
[ abstract ]

1995 "Bifurcations and Limit Cycles in a Neural Network"
(with P.K. Das)
Physica D,
[ abstract ]



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