Research Interests and Recent Papers

RESEARCH INTERESTS:

Theory of nuclear forces, the relativistic two-body problem, quantum field theory, foundations of quantum and statistical mechanics, the reversibility problem in statistical mechanics, quantum thermodynamics, quantum measurement theory, quantum information dynamics, complexity, general relativity and cosmology, self-gravitating bodies in general relativity, classical and quantum chaos, photon thermodynamics and cosmic background radiation, the photon-photon interaction, economic theory, comparative statics and dynamics in economic models, economic growth with heterogeneous agents, standard portfolio theory, tangent dynamics of Hamiltonian systems, efficient computation of Lyapunov spectra for chaotic systems, Hamilton-Jacobi formulation of the Kolmogorov-Sinai entropy for classical and quantum dynamics, quantum information, entanglement.

RECENT PAPERS

*Reduced Tangent Dynamics and Lyapunov Spectrum for Hamiltonian Systems*, Phys. Rev. Letters**82**, 3424 (1999);*Algorithmic Complexity and Randomness*, paper presented at the "Twentieth International Workshop on Bayesian Inference and Maximum Entropy Methods in Science and Engineering," held July 8-13, 2000, in Giv-sur-Yvette, France, and published in Bayesian Inference and Maximum Entropy Methods in Science and Engineering, edited by Ali M-Djafari (American Institute of Physics, Melville, New York, 2001), p. 31.*Reexamination of the A-J Effect*(with Michael R. Caputo), Econ. Bull.**12**, 1 (2002).*Hamilton-Jacobi Formulation of Kolmogorov-Sinai Entropy for Classical and Quantum Dynamics*, Phys. Rev. Lett.**89**, 144101 (2002).*Universal Measure of Entanglement*, Phys. Rev. Lett.**92**, 077904 (2004).*Principal Portfolios: Recasting the Efficient Frontier*(with Michael R. Caputo), Econ. Bull.**7**, 1 (2004).*Existence of a Universal Comparative Statics Matrix for Optimization Problems*(with Michael R. Caputo), Economic Theory, DOI: 10.1007/s00199-005-0062-6 (2005).*A Complete Theory of Comparative Statics for Differentiable Optimization Problems*(with Michael R. Caputo), Metroeconomica**57,**31 (2006); Erratum,**58,**360 (2007).*Electrodynamics of a Magnet Moving through a Metallic Pipe*(with Eliza J. Morris), Canadian Journal of Physics**84,**253 (2006).*Intrinsic comparative statics of a general class of profit-maximizing rate-of-return regulated firms*(with Michael R. Caputo), Oxford Economic Papers, doi:10.1093/oep/gpm037 (2007).*Presentation: electrodynamics of a magnet moving through a pipe*(2007).*Presentation: electrodynamics of a magnet moving through a pipe*(2007).*Verschraenkung versus Stosszahlansatz: Disappearance of the Thermodynamic Arrow in a High-Correlation Environment*, Phys*.*Rev. E**77,**021110 (2008).*Presentation: The Incomprehensible Effectiveness of Mathematics in Physical Sciences*(2008).*Equilibrium Charge Density on a Thin Curved Wire*(with David Griffiths), Am. J. Phys.**77**, 1173 (2009).*Correlative Capacity of Composite Quantum States*, Phys. Rev. Lett.**103**, 230502 (2009).*Presentation: Verschraenkung versus Stosszahlansatz: Correlation Level in the Environment Makes or Brakes the Second Law*(2010).*Majorization Formulation of Uncertainty in Quantum Mechanics*, Phys. Rev. A**84**, 052117 (2011)., A "Physics & Pizza on Wednesdays" presentation, March 14, 2012, Physics & Astronomy Department, CSUS.*Presentation: Threading Rotational Dynamics, Crystal Optics, and Quantum Mechanics to Risky Asset Selection**Entanglement Detection Using Majorization Uncertainty Bounds*, Phys. Rev. A 86, 022309 (2012).*Verschrankung versus Stosszahlansatz: The second law rests on low correlation levels in our cosmic neighborhood**,*Talk presented at the 2012 Anacapa Society Meeting Hamline University, Saint Paul, Minnesota May 11-12, 2012).*The Long Neglected Critically Leveraged Portfolio*(2012)*.*

Return to CSUS Home Page,College Home Page, Department Home Page.