F.T. Hioe

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)

1. J.L. Martin, M.F. Sykes and F.T. Hioe
   Probability of Initial Ring Closure for Self-Avoiding Polymer Chains
   J. Chem. Phys. 46, 3478 (1967)
2. C. Domb and F.T. Hioe
   Mean-Square Intrachain Distances in a Self-Avoiding Polymer Chain
   J. Chem. Phys. 51, 1915 (1969)
3. C. Domb and F.T. Hioe
   Correlations in a Self-Avoiding Polymer Chain
   J. Chem. Phys. 51, 1920 (1969)
4. C. Domb and F. T. Hioe
   The Transition Matrix Approach to Self-Avoiding Walks
   J. Phys. C3, 2223 (1970)
5. F. T. Hioe
   Some Counting Theorems Concerning the Distribution of Intrachain
   Elements on Self-Avoiding Walks
   J. Phys. Chem. 74, 4401 (1970)
6. F. T. Wall and F. T. Hioe
   The Distribution of End-to-End Lengths of Polymer Chains on the Diamond Lattice
   J. Phys. Chem. 74, 4410 (1970)
7. F.T. Wall and F.T. Hioe
   Mean-Square Intrachain Separations of Polymer Chains on the Diamond Lattice
   J. Phys. Chem. 74, 4416 (1970)
8. Y.K. Wang and F.T. Hioe
   Phase Transition in the Dicke Model of Superradiance
   Phys. Rev. A7, 831 (1973)
9. F.T. Hioe
   Phase Transitions in Some Generalized Dicke Models of Superradiance
   Phys. Rev. A8, 1440 (1973)
10. F.T. Hioe and C. Domb
    Group Theory, Markov Chains and Excluded Volume Effect in Polymers
    J. Stat. Phys. 10, 183 (1974)
11. F.T. Hioe
    The Recursive Perturbation Method and Its Applications to the Study of Nuclear Shell Models
    J. Math. Phys. 15, 1615 (1974)
12. F.T. Hioe
    Coherent States and Lie Algebras
    J. Math. Phys. 15, 1174 (1974)
13. F.T. Hioe
    An Approach to the Study of Quantum Systems
    J. Math. Phys. 15, 445 (1974)
14. 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)
15. F.T. Hioe and J.H. Eberly
    Radiative Frequency Shifts of a Two-Level System
    Phys. Rev. A11, 1358 (1975)
16. F.T. Hioe and E.W. Montroll
    Two-Level Radiative Systems and Perturbation Theory
    J. Math. Phys. 16, 1259 (1975)
17. 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)
18. F.T. Hioe
    Quantum Theory of Coupled Anharmonic Oscillators
    Phys. Rev. D15, 488 (1977)
19. 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)
20. 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
21. F.T. Hioe
    A. Green’s Function for a Cubic Lattice
    J. Math. Phys. 19, 1064 (1978)
22. 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)
23. F.T. Hioe
    Quantum Theory of Anharmonic Oscillators: From Independent Oscillators to Spherically Coupled Oscillators
    J. Chem. Phys. 69, 204 (1978)
24. F. T. Hioe
    Correlations in an N. Mode Laser
    J. Math. Phys. 19, 1307 (1978)
25. F.T. Hioe, S. Singh and L. Mandel
    Correlation Functions in a Two-Mode Ring Laser
    Phys. Rev. A19, 2036 (1979)
26. F.T. Hioe and H.-I. Yoo
    Stark Effect and Perturbation Approximations in Hydrogen like Atoms
    Phys. Rev. A21, 426 (1980)
27. 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,
    North-Holland Publishing Co. 1981
28. F.T. Hioe and S. Singh
    Correlations, Transients, Bistablity and Phase Transition Analogy in Two-Mode Lasers
    Phys. Rev. A24, 2050 (1981)
29. 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)
30. F.T. Hioe
    Exact Solitary Solution of Short Different Wavelengh Optical Pulses in N-Level Atomic Systems
    Phys. Rev. A26, 1466 (1982)
31. F.T. Hioe and J.H. Eberly
    Nonlinear Constants of Motion for Three-Level Quantum Ststems
    Phys. Rev. A25, 268 (1982)
32. F.T. Hioe, H.I. Yoo and J.H. Eberly
    Statistical Analysis of Long-Term Dynamic Irregularity in an Exactly Soluble Quantum Mechanical Model
    Mathematics Studies 80, 95 (1983), North-Holland Publ. Co.
33. F.T. Hioe
    On the Mean Motion of Some Statistical Properties of a Quasiperiodic Observable in a Permion-Boson Model
    J. Math. Phys. 23, 2430 (1982)
34. 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)
35. F.T. Hioe
    Dynamic Symmentries in Quantum Electronics
    Phys. Rev. A28, 879 (1983)
36. F.T. Hioe
    Theory of Generalized Adiabatic Following in Multi-Level Systems
    Phys. Lett. 99A, 150 (1983)
37. 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
38. 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.
39. 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.
40. F.T. Hioe and J. H. Eberly
    Multiple Laser Excitation on Multilevel Atoms
    Phys. Rev. A29, 1164 (1984)
41. J. Oreg, F.T. Hioe and J. H. Eberly
    Adiabatic Following in Multilevel Systems
    Phys. Rev. A29, 690 (1984)
42. F.T. Hioe
    Linear and Nonlinear Constants of  Motion for Three-Level Quantum Systems
    Phys. Rev. A29, 3434 (1984)
43. F.T. Hioe
    Solution of Bloch Equations Involving Amplitude and Frequency Modulations
    Phys. Rev. A30, 2100 (1984)
44. F.T. Hioe
    Analytic Solutions of Density Matrix Evolutions with the Use of Racah Tensorial Decompostions
    Phys. Rev. A30, 3097 (1984)
45. 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)
46. F.T. Hioe C.E. Carroll
    Analytic Solutions to the Two-State Problem for Chirped Pulses
    J.Opt. Soc. Amer. B2, 497 (1985)
47. F.T. Hioe and C.E. Carroll
    Two-state Problems Involving Arbitrary Amplitude and Frequency Modulations
    Phys. Rev. A32, 1541 (1985)
48. F.T. Hioe
    Gell-Mann Dynamic Symmetry for N-Level Quantum Systems
    Phys. Rev. A32, 2824 (1985)
49. C.E. Carroll and F.T. Hioe
    Further Generalization of Landau-Zener Calculation
    J. Opt. Soc. Am. B2, 1355 (1985)
50. 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
51. C.E. Carroll and F.T. Hioe
    Generalization of the Landau- Zener Calculation to Three Levels
    J.Phys. A19, 1151 (1986)
52. C.E. Carroll and F.T. Hioe
    Transition Probabilities for the Three-Level Landau-Zener Model
    J. Phys. A19, 2061 (1986)
53. X.W. Wang, D.L. Lin and F.T. Hioe
    Mean Switching Time of Bistable Two-Mode Lasers
    Phys. Rev. A34, 1251 (1986)
54. C.E. Carroll and F.T. Hioe
    A New Class of Analytical Solutions of the Two-State Problem
    J. Phys. A18, 3579 (1986)
55. Z. Deng and F.T. Hioe
    Chaos-Order-Chaos Transitions in a Two-Dimensional Hamiltonian System
    Phys. Rev. Lett. 55, 1539 (1986), 56, 1757 (1986) (E)
56. Z. Deng and F.T. Hioe
    Stability-Instability and Transitions in a System of Non-linearly Coupled Harmonic Oscillators
    Phys. Lett. A115, 21 (1986)
57. F.T. Hioe and Z. Deng
    Analytic Solution of Stability-Instability Transitions in a Two-Dimensional Hamiltonian System
    Phys. Rev. A34, 3539 (1986)
58. X. W. Wang, D.L. Lin and F.T. Hioe
    Bistable Two-Mode Lasers and Most Probable Tunneling Paths Optical Instabilities, edited by R.W. Boyd, M.G. Raymer and L. M. Narducci, Cambridge University Press (1986)
59. C.E. Carroll and F.T. Hioe
    Three-State Model Driven by Two Laser Beams
    Phys. Rev. A36, 724 (1987)
60. F.T. Hioe and Z. Deng
    Stability-Instability Transitions in Hamiltonian Systems of n Dimensions
    Phys. Rev. A35, 847 (1987)
61. F.T. Hioe
    N-Level Quantum Systems With SU(2) Dynamic Symmetry
    J. Opt. Soc. Am. B4, 1327 (1987)
62. C.E. Carroll and F.T. Hioe
    Driven Three-State Model and Its Analytic Solutions
    J. Math. Phys. 29, 487 (1988)
63. F.T. Hioe
    N-Level Quantum Systems With Gell-Mann Dynamic Symmetry
    J. Opt. Soc. Am. B5, 859 (1988)
64. F.T. Hioe and C.E. Carroll
    Coherent Population Trapping in N-Level Quantun Systems
    Phys. Rev. A37, 3000 (1988)
65. C.E. Carroll and F.T. Hioe
    Three-State Systems Driven by Resonant Optical Pulses of Different Shapes
    J. Opt. Soc. Am. B5, 1335 (1988)
66. F.T. Hioe
    Hamiltonian Systems With a Certain Stability Property
    J. Phys. A21, L377 (1988)
67. F.T. Hioe
    Certain Stability Type and Integrable Two-Dimensional Hamiltonian Systems
    Phys. Rev. A39, 2628 (1989)
68. F.T. Hioe
    Analytic Solutions and Dynamic Symmetries in Laser-Driven Atomic Excitation
    “Lasers, Molecules and Methods”, edited by J.O. Hirschfelder, R.E. Wyatt and R.D. Coalson, John Wiley & Sons, Inc. 1989
69. F.T. Hioe
    Lossless Propagation of Optical Pulses Through N-Level Systems with SU (2) Symmetry
    J. Opt. Soc. Am. B6, 335 (1989)
70. F.T. Hioe
    Lossless Propagation of Optical Pulses Through N-Level Systems With Gell-Mann Symmetry
    J.Opt. Soc. Am. B6, 1245 (1989)
71. C.E. Carroll and F.T. Hioe
    Two-Photon Resonance in Three-State Model Driven by Two Laser Beams
    J. Phys. B22, 2633 (1989)
72. F.T. Hioe
    Grouping of Products of Wavefunctions and Gell-Mann Dynamic Symmetry
    J. Phys. A22, 4143 (1989)
73. J.R. Kuklinski, U. Gaubatz, F.T. Hioe and K. Bergmann
    Adiabatic Population Transfer in a Three-Level System Driven by Delayed Laser Pulses
    Phys. Rev. A40, 6741 (1989)
74. F.T. Hioe
    Restricted Walks, Stability-Instability Transitions, and Dynamic Symmetries
    J. Stat. Phys. 58, 627 (1990)
75. C.E. Carroll and F.T. Hioe
    Another Analytic Solution of the Two-State Problem
    Phys. Rev. A41, 2835 (1990)
76. C.E. Carroll and F.T. Hioe
    Analytic Solutions for Three-State Systems with Overlapping Pulses
    Phys. Rev. A42, 1522 (1990)
77. F.T. Hioe and C.E. Carroll
    Excitation of Three-State 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
78. C.E. Carroll and F.T. Hioe
    Coherent population transfer via the continuum
    Phys. Rev. Lett. 68, 3523 (1992)
79. C.E. Carroll and F.T. Hioe
    Selective excitation via the continuum and suppression of ionization
    Phys. Rev. A47, 571 (1993)
80. F.T. Hioe and R. Grobe
    Matched optical solitary waves for three- and five-level system
    Phys. Rev. Lett. 73, 2559 (1994)
81. R. Grobe, F.T. Hioe and J.H. Eberly
    Formation of shape-preserving pulses in a nonlinear adiabatically integrable system
    Phys. Rev. Lett. 73, 3183 (1994)
82. C.E. Carroll and F.T. Hioe
    Excitation using two lasers: effects of continuum-continuum transitions
    Phys. Lett. A199, 145 (1995)
83. 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
84. 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
85. C.E. Carroll and F. T Hioe
    Adiabatic approximation applied to N-state systems at one-photon resonance
    Coherence and Quantum Optics VII, Edited by J. H. Eberly, L. Mandel and E. Wolf, Plenum Publishing Corp (1996), p. 515
86. F.T. Hioe and C.E. Carroll
    Population transfer and pulse propagation in certain closed-loop systems
    Phys. Lett. A220, 49 (1996)
87. C.E. Carroll and F.T. Hioe
    Selective excitation and structure in the continuum
    Phys. Rev. A54, 5147 (1996)
88. F.T. Hioe and C.E. Carroll
    Solitary Waves and atomic population transfer via the continuum
    Phys. Rev. A56, 2292 (1997)
89. F.T. Hioe
    Superposition solutions of coupled nonlinear equations
    Phys. Lett. A234, 351 (1997)
90. F.T. Hioe
    Analytic solutions of some coupled nonlinear equations
    Phys. Rev. E56, 7253 (1997); 58, 1174 (1998)
91. F.T. Hioe
    Solitary waves for two and three coupled nonlinear Schroedinger equations
    Phys. Rev. E58, 6700 (1998)
92. F.T. Hioe
    Solitary waves for N coupled nonlinear Schroedinger equations
    Phys. Rev. Lett. 82, 1152 (1999)
93. F.T. Hioe
    Solitary waves and N coupled nonlinear equations
    J. Phys. A32, 1217 (1999)
94. F.T. Hioe
    Analytically solvable regions for coupling parameters of coupled nonlinear equations
    J. Phys. A32, 2415 (1999)
95. F.T. Hioe and C.E. Carroll
    Coupled Gross-Pitaevskii equations with a square-well and a Coulomb potential
    Phys. Lett. A299, 189 (2002)
96. F.T. Hioe and T.S. Salter
    Special set and solutions of coupled nonlinear Schrödinger equations
    J. Phys. A35, 8913 (2002)
97. F.T. Hioe
    N coupled nonlinear Schrödinger equations with mixed nonlinear interactions
    Phys. Lett. A304, 30 (2002)
98. F.T. Hioe
    N coupled nonlinear Schrödinger equations: Special set and applications to N=3
    J. Math. Phys. 43, 6325 (2002)
99. F.T. Hioe
    Periodic solitary waves for two coupled nonlinear Klein-Gordon and Schrödinger equations
    J. Phys. A36, 7307 (2003)
100. F.T. Hioe
     Generalized Lorentz invariance and solitary waves for coupled nonlinear Klein-Gordon equations
     J. Phys. A37, 173 (2004)
101. F.T. Hioe
     Optical solitary waves, resonant and nonresonant interaction
     Laser Physics 15, 1355 (2005)
102. F.T. Hioe
     Isotropy and polarization in a statistically stationary electromagnetic field in three-dimensions
     J. Mod. Opt. 53, 1715 (2006)
103. F.T. Hioe
     Adiabatic shape preservation and solitary waves in a five-level atomic medium
     Phys. Rev. A78, 063807 (2008)
104. F.T. Hioe
     Exact expressions for the precession of a planet and the deflection of light
     Phys. Lett. A373, 1506 (2009)