CURRICULUM VITAE
PORTER W. JOHNSON
Born 04 September 1942
Chattanooga, Tennessee
Married: 2 children and 3 grandchildren
Education
B.S. Case Institute of Technology, 1963
M.A. Princeton University, 1965
Ph.D. Princeton University, 1967
Teaching Assistant, Research Assistant, NSF Predoctoral Fellow (3 years),
NASA Trainee (1 year), Princeton University, 1963  1967
Thesis Adviser: Sam Treiman
Thesis Title: Bounds on Scattering Amplitudes
Academic Appointments
Postdoctoral Research Associate, Case Western Reserve University, 1967  1969
Assistant Professor, Illinois Institute of Technology, 1969  1974
Associate Professor, Illinois Institute of Technology, 1974  1983
Assistant Chairman, Physics Department, Illinois Institute of Technology, 1976 
1981
Acting Chairman, Physics Department, Illinois Institute of Technology,
Spring Semester, 1979
Wetenschappelijke Hoofdmedewerker, University of Groningen (The Netherlands)
Fall Semester, 1975
Sabbatical Leave 1981  1982:
Argonne National Laboratory Faculty Research Leave (6 months)
University of Groningen Senior Research Associate (6 months)
Chairman, Physics Department, Illinois Institute of Technology, 1984 1995
Director, SMILE Program at Illinois Institute of Technology, 1993  2006
University Representative: Faculty Advisory Committee of Illinois Board of
Higher Education 1995  1998.
Consultant, Advanced Photon Source, Argonne National Laboratory Summer 1997
Acting Chairman, Department of Biological, Chemical, and Physical Sciences
Spring 1999
Interim Chairman, (newly created) Department of Mathematics and Science
Education, 2000  2001
Director, SMART Program at Illinois Institute of Technology, 2000  2006
Sabbatical Leave 2007  2008
Professor, Illinois Institute of Technology, 1983  2008
Professor Emeritus, Illinois Institute of Technology, 2008 
Published Books:
 Exercises in Quantum Mechanics: A SelfContained Book of Questions and Answers, with David Atkinson and
Mahouton Norbert Hounkonnou, Rinton Press 2001, ISBN 1589490223.
 Quantum Field Theory: A Selfcontained Approach, with David Atkinson, Rinton Press 2002,
ISBN 158949024X.
 Exercises in Quantum Field Theory: A SelfContained Book of Questions and Answers,
with David Atkinson, Rinton Press 2003, ISBN 1589490312.
 Relativity for the Mind: An Introduction for Scientists,
Rinton Press 2007, ISBN 1589490541.
 Classical Mechanics with Applications,
World Scientific 2010, ISBN 9814304158.
75 Scientific Publications in refereed journals
Back to top of Document

1. "Orear Behavior in Potential Scattering", J. Math. Phys.
9, 712 (1968).

2. "Orear Behavior in Potential Scattering II", J. Math. Phys.
10, 946 (1969).

3. "HighEnergy, Fixed Angle Potential Scattering", J. Math. Phys.
10, 1633 (1969).

4. "Solutions of PartialWave Dispersion Relations", Phys. Rev.
181, 2006 (1969).

5. "Solutions of PartialWave Dispersion Relations II", Phys. Rev.
186, 1853 (1969).

6. "Polarization in HighEnergy KN Scattering", Nuovo Cimento
64A, 353 (1969) (with P.B. Kantor).

7. "Regge Trajectories at High Energies for a Class of Analytic Potentials",
J. Math. Phys. 12, 1610 (1971).

8. "CrossingSymmetric BetheSalpeter Equations and the Generalized Ladder
Graphs", Phys. Rev. D4, 3766 (1971) (with R.J. Yaes).

9. "Reformulation of CrossingUnitarity Equation in Terms of Partial Waves",
Phys. Rev. D6, 3766 (1971) (with D. Atkinson and R.L. Warnock).

10. "Determination of The Scattering Amplitude from the Differential
CrossSection and Unitarity", Commun. Math. Phys. 28, 133 (1972)
(with D. Atkinson and R.L. Warnock).

11. "New ChargeExchange Polarization Data and PiN Amplitude Analysis at
3.6 amd 6.0 GeV/c", Phys. Rev. Lett. 30, 242 (1973) (with K.E.
Lassila, P. Koehler, R. Miller, and A. Yokosawa).

12. "Crichton's PhaseShift Ambiguity", Nucl. Phys. B55, 125 (1973)
(with D. Atkinson, N. Mehta, and M. de Roo).

13. "Moments of Inertia by MonteCarlo Integration Programs", Amer J.
Phys. 40, 1872 (1972).

14. "Continuum Ambiguity in the Construction of Unitary, Analytic Amplitudes
from Fixed Energy Scattering Data", J. Math. Phys. 14, 1558 (1973)
(with G.R. Bart and R.L. Warnock).

15. "Determination of Unitary, Analytic Amplitudes from Given Scattering
Data: A Refined Analysis", Commun. Math. Phys. 33, 221 (1973) (with
D. Atkinson and R.L. Warnock).

16. "Recurrence and Dispersion under Iteration of Chebyshev Polynomials",
J. Math. Anal. and App. 54, 752 (1976) (with A. Sklar).

17. "PiN Scattering Amplitude Analysis: Effect of Experimental Errors on
Amplitude Uncertainty", Nuovo Cimento 22A, 99 (1974) (with R.C. Miller
and A. Yokosawa).

18. "Construction of Unitary, Analytic Scattering Amplitudes III: Practical
Application to AlphaAlpha Scattering", Nucl. Phys. B66, 429 (1973)
(with D. Atkinson, M. de Roo, and L.P. Kok).

19. "Unitary Amplitudes with CutPlane Analyticity from Given Scattering
Data", Nucl. Phys. B72, 329 (1974) (with G.R. Bart and R.L. Warnock).

20. "Marginally Singular Integral Equations with DividedDifference Kernel:
A Problem in N/D Theory", J. Math. Phys. 16, 1380 (1975) (with R.L.
Warnock).

21. "Dynamical Equations for Regge Theory with Unitarity and Crossing",
Particles and Fields1974 (AIP Conference Proceedings, No. 23),
edited by C.E. Carlson (Amer. Inst. of Phys., NY, 1975), p. 572 (with R.L.
Warnock).

22. "Regge Amplitudes through Solution of SMatrix Equations", J. Math.
Phys. 16, 1886 (1975) (with J.S. Frederiksen and R.L. Warnock).

23. "Construction of Regge Amplitudes through Solution of SMatrix
Equations", Lecture Notes in Physics; No. 85: Applied Inverse Problems
, edited by P.C. Sabatier, (SpringerVerlag, 1978), p. 388.

24. "SommerfeldWatson Representation for Double Spectral Functions III:
Crossing Symmetric PionPion Scattering Amplitude with Regge Poles"
Commun. Math. Phys. 51, 67 (1976) (with D. Atkinson, J.S. Frederiksen,
and M. Kaekebeke).

25. "A Remark on OffShell PhaseShift Analysis", Nucl. Phys. B114,
458 (1976) (with D. Atkinson and F.J. Yndurain).

26. "Comparison of Asymptotically Free Theories with High Energy Deep
Inelastic Scattering Data", Nucl. Phys. B121, 270 (1977) (with
Wuki Tung).

27. "Dynamical Equations for a Regge Theory with Crossing Symmetry and
Unitarity Part I: Introduction, and the Case of Weak Coupling", Phys.
Rev. D15, 2354 (1977) (with R.L. Warnock).

28. "Dynamical Equations for a Regge Theory with Crossing Symmetry and
Unitarity Part II: The Case of Strong Coupling and Elimination of Ghost
Poles", Phys. Rev. D15, 2366 (1977) (with R.L. Warnock).

29. "Amplitude Reconstruction in NN Scattering at 6 GeV/c: Where Do We
Stand and What Measurements Should Be Done?", Phys. Rev. D15, 1895
(1977) (with R.C. Miller and G.H. Thomas).

30. "Dynamical Equations for a Regge Theory with Crossing Symmetry and
Unitarity III: CrossingSymmetric Representation with Explicit ReggePole
Terms", Phys. Rev. D16, 482 (1977) (with M. Kaekebeke and R.L.
Warnock).

31. "Precise Treatment of Operator Mixing in Application of Asymptotically
Free Gauge Theories to Deep Inelastic Scattering", Phys. Rev. D16,
2767 (1977) (with Wuki Tung).

32. "Disentangling the Scattering Matrix When There is a Dominant Scattering
Mechanism", Phys. Rev. D16, 2783 (1977) (with G.H. Thomas).

33. "Lectures on Asymptotic Freedom and LeptonHadron Scattering", based on
lectures given at the University of Groningen, June 1978. Groningen
Internal Report No. 115.

34. "The Simulation of Random Processes on Digital Computers with Chebyshev
Mixing Transformations", J. Comp. Phys. 32, 168 (1979) (with T. Erber).

35. "Solution of the Unitarity Equation with Overlapping Left and Right Cuts:
A Tool for Study of the S^{*} and Similar Systems",
J. Math. Phys. 22, 285 (1981) (with R.L. Warnock).

36. "QCD Asymptotics and Kinematic Thresholds in Deep Inelastic Scattering",
Phys. Lett. 83B, 114 (1979) (with K. Bitar and Wuki Tung).

37. "Structure Functions and Their Moments as Testing Ground for QCDThe
Pandora's Box of Mass Effects", Proceedings of Neutrino '79 International
Conference on Neutrinos Bergen 1979, edited by A. Haatuft and C.
Jarlskog, Vol.2, p. 612 (with Wuki Tung).

38. "Testing the Spin of the Gluon in Large TransverseMomentum Lepton Pair
Production", Phys. Rev. Lett. 45, 1382 (1980) (with Wuki Tung).

39. "Quantum Chromodynamics and Lepton Pair Production", lectures given at
the University of Groningen, June 1980. Groningen Internal Report No.
161.

40. "Nonperturbative Confinement in Quantum Chromodynamics I. Study of an
Approximate Equation of Mandelstam", J.Math. Phys. 22, 2704 (1981)
(with D. Atkinson, J.K. Drohm, and K. Stam).

41. "Chebyshev Mixing and Harmonic Oscillator Models", Phys. Lett.
85A, 65 (1981) (with T. Erber and P. Everett).

42. "Angular Distributions of 3jets in e^{+}e^{}
Annihilations and the Spin of the Gluon", Zeit. f. Physik
C13, 87 (1982) (with Wuki Tung).

43. "Nonperturbative Confinement in Quantum Chromodynamics II. Mandelstam's
Gluon Propagator", J. Math. Phys. 23, 1917 (1982) (with D. Atkinson
and K. Stam).

44. "Relation of Mixing Transformations to Periodic Motion in One Dimension",
Acta Physica Austriaca 55, 111 (1983).

45. "Infrared Behaviour of the Gluon Propagator in Axial Gauges", Nuovo
Cimento 77A, 197 (1983), (with D. Atkinson, W.J. Schoenmaker,and H.A.
Slim).

46. "Transverse Momentum Distribution of LeptonPairs in DrellYan Process
in an Asymptotically Free Scalar Theory", Annals of Physics 153, 205
(1984), (with M. MedinaGarcia and Wuki Tung).

47. "Infrared Behavior of the Gluon Propagator in QCD", Workshop on
Nonperturbative Quantum Chromodynamics (1983, Stillwater OK), edited
by K. Milton and M. Samuel, (Birkhaeuser,1983), p. 249.

48. "Nonperturbative Confinement in Quantum Chromodynamics III. Improved
Gluon Propagator", J. Math. Phys. 25, 2095 (1984). (with D. Atkinson,
H. Boelens, S.J. Hiemstra, W.J. Schoenmaker, and K. Stam).

49. "Linearization of the BakerBallZachariasen Gluon Propagator Equation",
Nucl. Phys. B241, 189 (1984). (with D. Atkinson).

50. "Wilson Loop Equations on a Lattice", lectures given at the University
of Groningen, June 1984. Groningen Internal Report No. 198.

51. "Parton Distribution Functions in Perturbative Quantum
ChromodynamicsSmallx Behavior and All That", Proceedings of the l984
Snowmass Workshop on SSC, published by Fermilab, l985 (with Wuki Tung).

52. "Bifurcation of the Quark SelfEnergy: Infrared and UltraViolet
CutOffs", Phys. Rev. D35, l943 (1987). (with D. Atkinson).

53. "Chiral Symmetry Breaking in QCD", Zeits. f. Phys. 34C, 99 (1987).
(with D. Atkinson and M. Koopmans).

54. "Chiral Symmetry Breakdown I. Gauge Dependence in Constant Vertex
Approximation", J. Math. Phys. 28, 2488 (1987). (with D. Atkinson).

55. "A Precise Formulation of the EffectiveVectorBoson Method for High
Energy Collisions", Proceedings of the l986 Summer Study on the Design
and Utilization of the SCC, Snowmass l986. (with F. Olness and Wuki
Tung).

56. "The EffectiveVectorBoson Method for High Energy Collisions", Phys.
Rev. D36, 291 (1987). (with F.I. Olness and Wuki Tung).

57. "Chiral Symmetry Breakdown III. Delbourgo's Gauge Technique", J. Math.
Phys. 28, 2994 (1987). (with D. Atkinson and A. Hulsebos).

58. "Chiral Symmetry Breaking in QCD I. The Infrared Domain", Phys.
Rev. D37, 2290 (1988). (with D. Atkinson).

59. "Chiral Symmetry Breaking in QCD II. Running Coupling Constant", Phys.
Rev. D37, 2296 (1988). (with D. Atkinson).

60. "Chiral Symmetry Breaking Beyond the Landau Gauge", Phys. Lett.
201B, 105 (1988). (with D. Atkinson and K. Stam).

61. "Chiral Symmetry Breaking in QCD III. Arbitrary Covariant Gauge",
Phys. Rev. D37, 2996 (1988). (with D. Atkinson and K. Stam).

62. "Dynamical Chiral Symmetry Breaking in Strong Coupling Unquenched
QED[4]", Argonne Report ANLHEPpr8845. (with J. Oliensis).

63. "Dynamical Mass Generation in ThreeDimensional QED", Brookhaven
Report BNL41615 (with D. Atkinson and M. R. Pennington).

64. "A Possible Second Order Phase Transition in Strongly Coupled Unquenched
Planar QED[4]", Phys. Rev. D42, 656 (1990) (with J. Oliensis).

65. "Gaussian Beam Spread in Biological Tissues", Applied Optics 29,
379 (1990) (with L.I. Grossweiner, J.L. Karagiannes, and Z. Zhang).

66. "Current and Constituent Quark Masses I. Beyond Chiral Symmetry
Breaking", Phys. Rev. D41, 1661 (1990) (with D. Atkinson).

67. "Model Tissue Heating with a Pulsed Nd:YAG Laser" Lasers in Surgery
and Medicine 10, 295 (1990) (with L.I. Grossweiner, A.M. AlKarmi,
and K.R. Brader).

68. "Dynamical Mass Generation in QED[3]: Improved Vertex Function", Phys.
Rev. D42, 602 (1990) (with D. Atkinson and P. Maris).

69. "New Variational Procedure for the Helmholtz Equation with Mixed Boundary
Conditions", IIT Internal Report December 1990.

70. "Pions and Kaons in QCD", Phys. Rev. D43, 218 (1991) (with D.
Atkinson and H.J. de Groot).

71. "Phase Transitions in Strong Coupling QED4[N]", Int. Jour. Mod.
Phys. A7 7629 (1992) (with D. Atkinson and H.J. de Groot).

72. "Reflection and Transmission Coefficients in Plane Parallel Layers with
Refractive Index Mismatch", Applied Optics 31, 106 (1992) (with L.I.
Grossweiner, L.R. Jones, and J.L. Karagiannes).

73. "Nonconservation of Energy and Loss of Determinism I. Infinitely
Many Balls", Foundations of Physics 39, 937 (2009) (with D.
Atkinson).

74. "Nonconservation of Energy and Loss of Determinism II. Colliding with an Open Set", Foundations of Physics 40, 179 (2010) (with D.
Atkinson).

75. "Gambler's Ruin? Some Aspects of Coin Tossing", to be published in
The Mathematical Scientist, 35, No.2 (2010) (with D. Atkinson).
Back to Web Page