104 papers published in refereed journals since 1967, in fields that range from statistical,
mathematical, nonlinear to atomic, optical and laser physics.
Service to Academic Community
Referee of the following U.S. journals: Physical Review, Physical Review Letters, Journal of Mathematical Physics, Journal of the Optical Society of America, and the following European journals: Journal of Modern Optics, Physics Letters, Journal of Physics.
Publications (in refereed journals and books 1967 – 2009)
 J.L. Martin, M.F. Sykes and F.T. Hioe
Probability of Initial Ring Closure for SelfAvoiding Polymer Chains
J. Chem. Phys. 46, 3478 (1967)
 C. Domb and F.T. Hioe
MeanSquare Intrachain Distances in a SelfAvoiding Polymer Chain
J. Chem. Phys. 51, 1915 (1969)
 C. Domb and F.T. Hioe
Correlations in a SelfAvoiding Polymer Chain
J. Chem. Phys. 51, 1920 (1969)
 C. Domb and F. T. Hioe
The Transition Matrix Approach to SelfAvoiding Walks
J. Phys. C3, 2223 (1970)
 F. T. Hioe
Some Counting Theorems Concerning the Distribution of Intrachain
Elements on SelfAvoiding Walks
J. Phys. Chem. 74, 4401 (1970)
 F. T. Wall and F. T. Hioe
The Distribution of EndtoEnd Lengths of Polymer Chains on the Diamond Lattice
J. Phys. Chem. 74, 4410 (1970)
 F.T. Wall and F.T. Hioe
MeanSquare Intrachain Separations of Polymer Chains on the Diamond Lattice
J. Phys. Chem. 74, 4416 (1970)
 Y.K. Wang and F.T. Hioe
Phase Transition in the Dicke Model of Superradiance
Phys. Rev. A7, 831 (1973)
 F.T. Hioe
Phase Transitions in Some Generalized Dicke Models of Superradiance
Phys. Rev. A8, 1440 (1973)
 F.T. Hioe and C. Domb
Group Theory, Markov Chains and Excluded Volume Effect in Polymers
J. Stat. Phys. 10, 183 (1974)
 F.T. Hioe
The Recursive Perturbation Method and Its Applications to the Study of Nuclear Shell Models
J. Math. Phys. 15, 1615 (1974)
 F.T. Hioe
Coherent States and Lie Algebras
J. Math. Phys. 15, 1174 (1974)
 F.T. Hioe
An Approach to the Study of Quantum Systems
J. Math. Phys. 15, 445 (1974)
 F.T. Hioe and E. W. Montroll
Quantum Theory of Anharmonic Oscillators I. Energy Levels of Oscillators with Positive Quartic Anharmonicity
J. Math. Phys. 16, 1945 (1975)
 F.T. Hioe and J.H. Eberly
Radiative Frequency Shifts of a TwoLevel System
Phys. Rev. A11, 1358 (1975)
 F.T. Hioe and E.W. Montroll
TwoLevel Radiative Systems and Perturbation Theory
J. Math. Phys. 16, 1259 (1975)
 F.T. Hioe, D. McMillen and E. W. Montroll
Quantum Theory of Anharmonic Oscillators II. Energy Levels of Oscillators with x^{2a} Anarmonicity
J. Math. Phys. 17, 1320 (1976)
 F.T. Hioe
Quantum Theory of Coupled Anharmonic Oscillators
Phys. Rev. D15, 488 (1977)
 F.T. Hioe
Low and High Temperature Series Expansions for Quantum Coupled Oscillator Systems or Quantum Fields on a Lattice
Phys. Rev. B16, 4112 (1977)
 F. T. Hioe
On the Use of Determinants for Various Physical Problems
Statistical Mechanics and Statistical Methods in Theory and Application,
Ed. U. Landman, Plenum Press, New York, 1977
 F.T. Hioe
A. Green’s Function for a Cubic Lattice
J. Math. Phys. 19, 1064 (1978)
 F.T. Hioe, D. MacMillen and E.W. Montroll
Quantum Theory of Anharmonic Oscillators: Energy Levels of a Single and a Pair of Coupled Oscillators with Quartic Coupling
Phys. Reports 43, 305 (1978)
 F.T. Hioe
Quantum Theory of Anharmonic Oscillators: From Independent Oscillators to Spherically Coupled Oscillators
J. Chem. Phys. 69, 204 (1978)
 F. T. Hioe
Correlations in an N. Mode Laser
J. Math. Phys. 19, 1307 (1978)
 F.T. Hioe, S. Singh and L. Mandel
Correlation Functions in a TwoMode Ring Laser
Phys. Rev. A19, 2036 (1979)
 F.T. Hioe and H.I. Yoo
Stark Effect and Perturbation Approximations in Hydrogen like Atoms
Phys. Rev. A21, 426 (1980)
 F.T. Hioe, E.W. Montroll and M. Yamawaki
On Higher Order WKB Approximations for the Calculation of Energy Levels
Perspective in Statistical Physics, Ed. H.J. Raveche,
NorthHolland Publishing Co. 1981
 F.T. Hioe and S. Singh
Correlations, Transients, Bistablity and Phase Transition Analogy in TwoMode Lasers
Phys. Rev. A24, 2050 (1981)
 F.T. Hioe and J. H. Eberly
Dynamic Symmetries and Higher Conservation Laws in Quantum
Optics and Quantum Mechanics
Phys. Rev. Lett. 47, 838 (1981)
 F.T. Hioe
Exact Solitary Solution of Short Different Wavelengh Optical Pulses in NLevel Atomic Systems
Phys. Rev. A26, 1466 (1982)
 F.T. Hioe and J.H. Eberly
Nonlinear Constants of Motion for ThreeLevel Quantum Ststems
Phys. Rev. A25, 268 (1982)
 F.T. Hioe, H.I. Yoo and J.H. Eberly
Statistical Analysis of LongTerm Dynamic Irregularity in an Exactly Soluble Quantum Mechanical Model
Mathematics Studies 80, 95 (1983), NorthHolland Publ. Co.
 F.T. Hioe
On the Mean Motion of Some Statistical Properties of a Quasiperiodic Observable in a PermionBoson Model
J. Math. Phys. 23, 2430 (1982)
 F.T. Hioe
On Pearson’s Random Walk and Some Statistical Properties of a Quasiperiodic Observable in a Simple Quantum Model
J. Stat. Phys. 30, 467 (1983)
 F.T. Hioe
Dynamic Symmentries in Quantum Electronics
Phys. Rev. A28, 879 (1983)
 F.T. Hioe
Theory of Generalized Adiabatic Following in MultiLevel Systems
Phys. Lett. 99A, 150 (1983)
 F.T. Hioe
Weierstrassian and Levy Random Walks and the Spherical Model of Ferromagnetism with Long Range Interactions,
AIP Conference Proceeding No. 109, edited by M.F.
Shlesinger and B. West (1984), p. 85
 F.T. Hioe
Theory of Atomic Excitation by Multiple Laser Pulses
Proceeding of the 5th Rochester Conference in Quantum Optics
Edited by L. Mandel and E. Wolf, Plenum Press, New York, 1984, p. 965.
 J. Oreg, F.T. Hioe and J.H. Eberly
Adiabatic Population Inverstion in Multilevel Systems
Proceeding of the 5th Rochester Conference in Quantum Optics
Edited by L. Mandel and E. Wolf, Plenum Press, New York, 1984, p. 985.
 F.T. Hioe and J. H. Eberly
Multiple Laser Excitation on Multilevel Atoms
Phys. Rev. A29, 1164 (1984)
 J. Oreg, F.T. Hioe and J. H. Eberly
Adiabatic Following in Multilevel Systems
Phys. Rev. A29, 690 (1984)
 F.T. Hioe
Linear and Nonlinear Constants of Motion for ThreeLevel Quantum Systems
Phys. Rev. A29, 3434 (1984)
 F.T. Hioe
Solution of Bloch Equations Involving Amplitude and Frequency Modulations
Phys. Rev. A30, 2100 (1984)
 F.T. Hioe
Analytic Solutions of Density Matrix Evolutions with the Use of Racah Tensorial Decompostions
Phys. Rev. A30, 3097 (1984)
 F.T. Hioe
Unitary Symmetry and Factored Dynamical Space in Multiple Laser Excitations of Atoms
Group Theoretical Methods in Physics, editied by W.W. Zachary,
World Scientific Publishing Co. (1984)
 F.T. Hioe C.E. Carroll
Analytic Solutions to the TwoState Problem for Chirped Pulses
J.Opt. Soc. Amer. B2, 497 (1985)
 F.T. Hioe and C.E. Carroll
Twostate Problems Involving Arbitrary Amplitude and Frequency Modulations
Phys. Rev. A32, 1541 (1985)
 F.T. Hioe
GellMann Dynamic Symmetry for NLevel Quantum Systems
Phys. Rev. A32, 2824 (1985)
 C.E. Carroll and F.T. Hioe
Further Generalization of LandauZener Calculation
J. Opt. Soc. Am. B2, 1355 (1985)
 F.T. Hioe
Some Statistical and Dynamical Problems in Quantum Electronics “The Wonderful World of Stochastics, A Tribute to Elliott W. Montroll”, Edited by M.F. Shlesinger and G.H. Weiss, Elsevier Science Publishers, B.V. 1985
 C.E. Carroll and F.T. Hioe
Generalization of the Landau Zener Calculation to Three Levels
J.Phys. A19, 1151 (1986)
 C.E. Carroll and F.T. Hioe
Transition Probabilities for the ThreeLevel LandauZener Model
J. Phys. A19, 2061 (1986)
 X.W. Wang, D.L. Lin and F.T. Hioe
Mean Switching Time of Bistable TwoMode Lasers
Phys. Rev. A34, 1251 (1986)
 C.E. Carroll and F.T. Hioe
A New Class of Analytical Solutions of the TwoState Problem
J. Phys. A18, 3579 (1986)
 Z. Deng and F.T. Hioe
ChaosOrderChaos Transitions in a TwoDimensional Hamiltonian System
Phys. Rev. Lett. 55, 1539 (1986), 56, 1757 (1986) (E)
 Z. Deng and F.T. Hioe
StabilityInstability and Transitions in a System of Nonlinearly Coupled Harmonic Oscillators
Phys. Lett. A115, 21 (1986)
 F.T. Hioe and Z. Deng
Analytic Solution of StabilityInstability Transitions in a TwoDimensional Hamiltonian System
Phys. Rev. A34, 3539 (1986)
 X. W. Wang, D.L. Lin and F.T. Hioe
Bistable TwoMode Lasers and Most Probable Tunneling Paths Optical Instabilities, edited by R.W. Boyd, M.G. Raymer and L. M. Narducci, Cambridge University Press (1986)
 C.E. Carroll and F.T. Hioe
ThreeState Model Driven by Two Laser Beams
Phys. Rev. A36, 724 (1987)
 F.T. Hioe and Z. Deng
StabilityInstability Transitions in Hamiltonian Systems of n Dimensions
Phys. Rev. A35, 847 (1987)
 F.T. Hioe
NLevel Quantum Systems With SU(2) Dynamic Symmetry
J. Opt. Soc. Am. B4, 1327 (1987)
 C.E. Carroll and F.T. Hioe
Driven ThreeState Model and Its Analytic Solutions
J. Math. Phys. 29, 487 (1988)
 F.T. Hioe
NLevel Quantum Systems With GellMann Dynamic Symmetry
J. Opt. Soc. Am. B5, 859 (1988)
 F.T. Hioe and C.E. Carroll
Coherent Population Trapping in NLevel Quantun Systems
Phys. Rev. A37, 3000 (1988)
 C.E. Carroll and F.T. Hioe
ThreeState Systems Driven by Resonant Optical Pulses of Different Shapes
J. Opt. Soc. Am. B5, 1335 (1988)
 F.T. Hioe
Hamiltonian Systems With a Certain Stability Property
J. Phys. A21, L377 (1988)
 F.T. Hioe
Certain Stability Type and Integrable TwoDimensional Hamiltonian Systems
Phys. Rev. A39, 2628 (1989)
 F.T. Hioe
Analytic Solutions and Dynamic Symmetries in LaserDriven Atomic Excitation
“Lasers, Molecules and Methods”, edited by J.O. Hirschfelder, R.E. Wyatt and R.D. Coalson, John Wiley & Sons, Inc. 1989
 F.T. Hioe
Lossless Propagation of Optical Pulses Through NLevel Systems with SU (2) Symmetry
J. Opt. Soc. Am. B6, 335 (1989)
 F.T. Hioe
Lossless Propagation of Optical Pulses Through NLevel Systems With GellMann Symmetry
J.Opt. Soc. Am. B6, 1245 (1989)
 C.E. Carroll and F.T. Hioe
TwoPhoton Resonance in ThreeState Model Driven by Two Laser Beams
J. Phys. B22, 2633 (1989)
 F.T. Hioe
Grouping of Products of Wavefunctions and GellMann Dynamic Symmetry
J. Phys. A22, 4143 (1989)
 J.R. Kuklinski, U. Gaubatz, F.T. Hioe and K. Bergmann
Adiabatic Population Transfer in a ThreeLevel System Driven by Delayed Laser Pulses
Phys. Rev. A40, 6741 (1989)
 F.T. Hioe
Restricted Walks, StabilityInstability Transitions, and Dynamic Symmetries
J. Stat. Phys. 58, 627 (1990)
 C.E. Carroll and F.T. Hioe
Another Analytic Solution of the TwoState Problem
Phys. Rev. A41, 2835 (1990)
 C.E. Carroll and F.T. Hioe
Analytic Solutions for ThreeState Systems with Overlapping Pulses
Phys. Rev. A42, 1522 (1990)
 F.T. Hioe and C.E. Carroll
Excitation of ThreeState Atom with Minimum Population of Intermediate State
Coherence and Quantum Optics VI, Edited by J.H. Eberly, L. Mandel and E. Wolf, Plenum Press, New York 1990, p. 493
 C.E. Carroll and F.T. Hioe
Coherent population transfer via the continuum
Phys. Rev. Lett. 68, 3523 (1992)
 C.E. Carroll and F.T. Hioe
Selective excitation via the continuum and suppression of ionization
Phys. Rev. A47, 571 (1993)
 F.T. Hioe and R. Grobe
Matched optical solitary waves for three and fivelevel system
Phys. Rev. Lett. 73, 2559 (1994)
 R. Grobe, F.T. Hioe and J.H. Eberly
Formation of shapepreserving pulses in a nonlinear adiabatically integrable system
Phys. Rev. Lett. 73, 3183 (1994)
 C.E. Carroll and F.T. Hioe
Excitation using two lasers: effects of continuumcontinuum transitions
Phys. Lett. A199, 145 (1995)
 F.T. Hioe and R. Grobe
Matched Solitary waves
Coherence and Quantum Optics VII, Edited by J.H. Eberly, L. Mandel and E. Wolf, Plenum Publishing Corp (1996), P. 451
 C.E. Carroll and F.T. Hioe
Population transfer via the continuum: effects of continuum structure
Coherence and Quantum Optics VII, Edited by J. H. Eberly, L. Mandel and E. Wolf, Plenum Publishing Corp (1996), p. 527
 C.E. Carroll and F. T Hioe
Adiabatic approximation applied to Nstate systems at onephoton resonance
Coherence and Quantum Optics VII, Edited by J. H. Eberly, L. Mandel and E. Wolf, Plenum Publishing Corp (1996), p. 515
 F.T. Hioe and C.E. Carroll
Population transfer and pulse propagation in certain closedloop systems
Phys. Lett. A220, 49 (1996)
 C.E. Carroll and F.T. Hioe
Selective excitation and structure in the continuum
Phys. Rev. A54, 5147 (1996)
 F.T. Hioe and C.E. Carroll
Solitary Waves and atomic population transfer via the continuum
Phys. Rev. A56, 2292 (1997)
 F.T. Hioe
Superposition solutions of coupled nonlinear equations
Phys. Lett. A234, 351 (1997)
 F.T. Hioe
Analytic solutions of some coupled nonlinear equations
Phys. Rev. E56, 7253 (1997); 58, 1174 (1998)
 F.T. Hioe
Solitary waves for two and three coupled nonlinear Schroedinger equations
Phys. Rev. E58, 6700 (1998)
 F.T. Hioe
Solitary waves for N coupled nonlinear Schroedinger equations
Phys. Rev. Lett. 82, 1152 (1999)
 F.T. Hioe
Solitary waves and N coupled nonlinear equations
J. Phys. A32, 1217 (1999)
 F.T. Hioe
Analytically solvable regions for coupling parameters of coupled nonlinear equations
J. Phys. A32, 2415 (1999)
 F.T. Hioe and C.E. Carroll
Coupled GrossPitaevskii equations with a squarewell and a Coulomb potential
Phys. Lett. A299, 189 (2002)
 F.T. Hioe and T.S. Salter
Special set and solutions of coupled nonlinear Schrödinger equations
J. Phys. A35, 8913 (2002)
 F.T. Hioe
N coupled nonlinear Schrödinger equations with mixed nonlinear interactions
Phys. Lett. A304, 30 (2002)
 F.T. Hioe
N coupled nonlinear Schrödinger equations: Special set and applications to N=3
J. Math. Phys. 43, 6325 (2002)
 F.T. Hioe
Periodic solitary waves for two coupled nonlinear KleinGordon and Schrödinger equations
J. Phys. A36, 7307 (2003)
 F.T. Hioe
Generalized Lorentz invariance and solitary waves for coupled nonlinear KleinGordon equations
J. Phys. A37, 173 (2004)
 F.T. Hioe
Optical solitary waves, resonant and nonresonant interaction
Laser Physics 15, 1355 (2005)
 F.T. Hioe
Isotropy and polarization in a statistically stationary electromagnetic field in threedimensions
J. Mod. Opt. 53, 1715 (2006)
 F.T. Hioe
Adiabatic shape preservation and solitary waves in a fivelevel atomic medium
Phys. Rev. A78, 063807 (2008)
 F.T. Hioe
Exact expressions for the precession of a planet and the deflection of light
Phys. Lett. A373, 1506 (2009)
