Ludwig Paul Ary Everest Streit

Departamento de Matemática e Engenharias
Universidade da Madeira

Campus Universitário da Penteada
9000-390 Funchal
Portugal

Telefone: +351 291705153
Fax: +351 291705199
Email: streit(at)uma.pt
www:
Office: Room 2.108


Actividade Profissional

  • Professor Catedrático, Universidade da Madeira, desde 1991
  • Professor Catedrático, Universidade do Minho, 1988-1991

Habilitações Académicas

  • Agregação em Matemática
  • Doutoramento em Física Teorica

Áreas de Investigação

  • Infinite Dimensional Analysis, Mathematical Physics

Publicações

  • "Die Gewichtsfunktion der Mandelstamdarstellung am Rande ihres Trägers" - Il Nuovo Cimento 23, 934 (1962).
  • "Eine Landausingularität der exakten Streuamplitude" - Acta Physica Austriaca 16, 12 (1963).
  • "S-Matrix Theory and Current Operator in Quantum Field Theory" - Il Nuovo Cimento 34, 198 (1964).
  • Eine Unitaritäts-Bedingung für den Stromoperator in der Klein-Gordon-Gleichung Acta Phys. Austriaca 20 (1-4): 38 1965
  • "An Introduction to Theories of Integration over Function Spaces " - Acta Physica Austriaca, Suppl. II, 2 (1966).
  • "Generalized and Reducible Fields in Fock Space" - Helvetica Physica Acta 39, 65 (1966).
  • "Test Function Spaces for Direct Product Representations of the Canonical Commutation Relations" - Comm. math. Phys. 4, 22 (1967).
  • "Unitarity of Pauli Transformations" - Il Nuovo Cimento 57, 140 (1968).
  • "A Generalization of Haag's Theorem" - Il Nuovo Cimento 62, 673 (1969).
  • "Properties of Quadratic Representations of the Canonical Commutation Relations" (with J. R. Klauder) - J. Math. Phys. 10, 1661 (1969).
  • "Quantum Field Theory on Light-like Slabs" (with J. R. Klauder and H. Leutwyler) - Il Nuovo Cimento 66, 536 (1970).
  • "The Construction of Physical States in Quantum Field Theory" - Acta Physica Austriaca Suppl. VII, 335 (1970).
  • "Generalized Free Fields as Cyclic Representations of the Canonical Commutation Relations" - Acta Physica Austriaca 32, 107 (1970)
  • "Tachyon Quantization" (with J. R. Klauder ) - Boulder Lectures in Theoretical Physics, vol. XIV B (1973), p.539.
  • "Dilation and Conformal Invariance on Null Planes (with F. Rohrlich) - Il Nuovo Cimento 7 B, 166 (1973).
  • "Exact Solution of the Quadratic Interaction Hamiltonian" (with W. J. Eachus) - Rep. Math. Phys. 4, 161 (1973).
  • "Model Calculation of the Vacuum Energy Density for a Self-Coupled Bose Field" (with L. Pittner) - Acta Physica Austriaca 38, 361 (1973).
  • "Optical Equivalence Theorem for Unbounded Observables" (with J. R. Klauder) - J. Math.Phys. 15, 760 (1974).
  • "On the Interference between Coulomb and Short Range Interactions" (with W. Plessas, H. Zingl) - Acta Physica Austriaca 40, 274 (1974).
  • "On Interactions which cannot be Turned Off" - Acta Physica Austriaca 42, 9 (1975).
  • "Stability of Scattering Phase Shifts" (with J. Froehlich) - Acta Physica Austriaca 47, 125 (1977).
  • "On Quantum Theory in Terms of White Noise" (with T. Hida) - Nagoya Math. J. 68, 21 (1977).
  • "Energy Forms, Hamiltonians, and Distorted Brownian Paths" (with S. Albeverio, R. Hoegh-Krohn) - J. Math. Phys. 18, 907 (1977)..
  • "A Renormalization Group model with Non-Gaussian Fixed Point" (with W. Karwowski) - Rep. Math. Phys. 13, 1 (1978).
  • "Regularization of Hamiltonians and Processes" (with S. Albeverio, R. Hoegh-Krohn) - J. Math. Phys. 21, 1636 (1980).
  • "Coulomb Corrections in N-N Coupled States" (with J. Froehlich, H. Zankel) - Phys. Lett. 92B, 8 (1980).
  • "Simple Coulomb Correction for Phase Shifts and Application to the p-p System" (with J. Froehlich, H. Zankel, H. Zingl) - Journ. Phys. G 6, 841 (1980).
  • "Capacity and Quantum Mechanical Tunneling" (with S. Albeverio, M. Fukushima, W. Karwowski) - Comm. math. Phys. 81, 501 (1981).
  • "Energy Forms, Schroedinger Theory, Processes" - Phys. Reports 77, 363 (1981).
  • "Generalized Brownian Functionals and the Feynman Integral" (with T. Hida) - Stoch. Proc. Appl. 16, 55 (1983).
  • "An Improvement of Coulomb Corrections in the Phase Shift Analysis of Elastic p-O¹6 Scattering and Predictions of the Cross Sections for p?-O¹6 Scattering at Low Energies (with J. Froehlich, H. G. Schlaile, H. Zingl) - Z. Phys. A 302, 89 (1981).
  • "Prediction of n-alpha Phase Shifts from p-alpha Data between 20 and 35 MeV" (with J. Fröhlich, H. Zankel) - Nucl. Phys. A 384, 97 (1982).
  • "A Separable Approach to the B-S Equation and its Application to Nucleon-Nucleon Scattering" (with K. Schwarz, J. Froehlich, H. Zingl) - Acta Physica Austriaca 53, 191 (1981).
  • "Charged Particles with Short Range Interactions" (with S. Albeverio, F. Gesztesy, R. Hoegh-Krohn) - Ann. Inst. H. Poincaré 37, 263 (1983).
  • "Exact Solution of a Quasipotential Equation for Charged Spinless Particles" (with I. Todorov) - Rep. Math.Phys. 24, 95 (1986).
  • "Separable Bethe-Salpeter Equation Kernels for Pion-Nucleon Scattering (with J. Froehlich, K. Schwarz, H. Zingl) - Phys. Rev. C 25, 2591 (1982)
  • "Model Dependence of Coulomb-Corrected Scattering Lengths" (with S. Albeverio, L. S. Ferreira, F. Gesztesy, R. Hoegh-Krohn) - Phys. Rev. C 29, 680 (1984).
  • "Low Energy Parameters in Nonrelativistic Scattering Theory" (with S. Albeverio, D. Bollé, F. Gesztesy, R. Hoegh-Krohn) - Ann. Phys. 148, 308 (1983).
  • "Stochastic Processes - Quantum Physics" - Acta Physica Austriaca Suppl. XXVI, 3 (1984).
  • "Separable Potentials from Gamow States" (with M. Baldo. L. S. Ferreira) - Phys. Rev. C 32, 685 (1985).
  • "On the Connection between Schrödinger and Dirichlet Forms" (with S. Albeverio, F. Gesztesy, W. Karwowski) - J. Math. Phys. 26, 2546 (1985)
  • "Charged Particles with a Short Range Force: Perturbation Theory with Respect to the Range and other Small Effects" (with F. Gesztesy, G. Karner) - J. Math. Phys. 27, 249 (1986).
  • "Convergence of Dirichlet Forms and Associated Schrödinger Operators" (with S. Albeverio, S. Kusuoka) - J. Funct. Anal. 68, 130 (1986).
  • "An Exactly Solvable Periodic Schrödinger Operator" (with F. Gesztesy, C, Macedo) - J. Phys. A: Math. Gen. L503 (1985).
  • "Three Nucleon Bound State Collapse with Tabakin Potentials" (with G. Rupp, J. A. Tjon) - Phys. Rev. C 31, 2285 (1985).
  • "Gamow Separable approximations for Realistic N-N Interactions: Single Channel Case" (with M. Baldo, L. S. Ferreira, T. Vertse) - Phys. Rev. C 33, 1587 (1986).
  • "Scattering Theory for General, non-Local Interactions: Threshold Behaviour and Sum Rules" (with D. Bollé, F. Gesztesy, C. Nessmann) - Rep. Math. Phys.
  • "Gamow Vectors as Solutions of a Non-Hermitian eigenvalue Problem" (with M. Baldo, L. S. Ferreira) - Nucl. Phys. A 467, 44 (1987).
  • "Eigenvalue Problem for Gamow Vectors and a Separable Approximation for the NN Interaction (with M. Baldo, L. S. Ferreira) - Phys. Rev. C 36, 1743 (1987).
  • "On the Origin of Chaos in Gearbox Models" (with M.O. Hongler) - Physica 29D, 402 (1988).
  • "Dirichlet Forms and White Noise Analysis" (with T. Hida, J. Potthoff) - Comm. math. Phys. 116, 235 (1988).
  • "An Inverse Problem for Stochastic Differential Equations" (with S. Albeverio, Ph. Blanchard, S. Kusuoka) - J. Stat. Phys. 57, 347 (1989).
  • "A Remark on the Second Virial Coefficient in the Quantum Lorentz Model (with C. Carvalho) - J. Phys. A: Math. Gen. 21, 3739 (1988).
  • "Quasi-Energies, Loss-Energies and Stochasticity" (with G. Karner, V. I. M'anko) - Rep. Math. Phys. 29, 177 (1990).
  • "The Vacuum of the Hoegh-Krohn model as a generalized White Noise Functional" (with S. Albeverio, T. Hida, J. Potthoff) - Phys. Lett. B 217, 511 (1989).
  • "Dirichlet Forms in Terms of White Noise Analysis I - Construction and QFT Examples" (with S. Albeverio, T. Hida, J. Potthoff, M. Roeckner) - Rev. Math. Phys. 1, 291 (1990)
  • "Dirichlet Forms in Terms of White Noise Analysis II - Construction of Infinite Dimensional Diffusions and QFT Examples" (with S. Albeverio, T. Hida, J. Potthoff, M. Roeckner) - Rev. Math. Phys. 1, 313 (1990).
  • "Generalized Master Equations and the Telegrapher's Equation" (with M.-O. Hongler) - Physica A165, 196 (1990).
  • "A Characterization of Hida Distributions" (with J. Potthoff) - J. Funct. Analysis 10, 212 (1991) .
  • "A Characterization of White Noise Test Functionals" (with J. Potthoff, H. H. Kuo) - Nagoya Math. J. 121, 185 (1991).
  • "A Probabilistic Connection between the Burger and a Discrete Boltzmann Equation" (with M.-O. Hongler) - Europhys. Lett. 12, 193 (1990).
  • "The Feynman Integrand as a Hida Distribution" (with M. de Faria, J. Potthoff) - J. Math. Phys. 32, 2123 (1991).
  • "Spaces of White Noise Distributions: Constructions, Descriptions, Applications" (with Yu. G. Kondratiev) -. Rep. Math. Phys. 33, 341-366 (1993)
  • "A Remark about a Norm Estimate for White Noise Distributions" (with Yu. Kondratiev) - Ukrainean Math. J. (1992) no.7.
  • "Constructing the Feynman Integrand" (with D. C. Khandekar) - Annalen d. Physik 1, 49 (1992).
  • "Quantum Mechanical Propagators in Terms of Hida Distributions", (A. Lascheck, P. Leukert, L. Streit, W. Westerkamp), Rep. Math. Phys. 33, 221-232 (1993).
  • "Invariant states on random and quantum fields: f bounds and white noise analysis." (with J. Potthoff) J. Funct. Anal. 111, 295-311 (1993)
  • "More about Donsker's delta function" (with A. Lascheck, P. Leukert, W. Westerkamp), Soochow Math. J. 20, 401-418 (1994).
  • "Generalized Functionals in Gaussian Spaces - the Characterization Theorem Revisited" (with Y. G. Kondratiev, P. Leukert, J. Potthoff, W. Westerkamp), J. Funct. Analysis 141, 301-318 (1996).
  • "Wick Calculus in Gaussian Analysis" (with Y. G. Kondratiev, P. Leukert) Acta Appl. Math. 44, 269-294 (1996)
  • "Non-Gaussian infinite dimensional analysis" (with S. Albeverio, Y. Daletzky, Yu. Kondratiev) J. Funct. Analysis 138, 311-350 (1996).
  • "Intersection Local Times as Generalized White Noise Functionals" (with M. de Faria, T. Hida, H. Watanabe) Acta Appl. Math. 46, 351-362 (1997)
  • "A note on positive distributions in Gaussian analysis" (with Yu. Kondratiev, W. Westerkamp) Ukrainian Math. J. 47, no. 5 (1995)
  • "Generalized Functions in Infinite Dimensional Analysis" (with Yu. Kondratiev, W. Westerkamp, Y.A. Yan) Hiroshima Math. Journal 28, 213-260 (1998).
  • "The Feynman Integral - Answers and Questions", in Proc. 1st Jagna Intl. Workshop on Adv. in Theor. Physics, p. 188 -199, Central Visayan Inst., Bohol, 1996.
  • "Generalized Appell Systems" (with Yu. Kondratiev, J. L. Silva) Meth. Funct. Anal. Top. 3, 28-61 (1997).
  • "The Feynman Integral for time-dependent anharmonic oscillators"(with M. Grothaus, D. C. Khandekar, J. L. Silva) J. Math. Phys. 38(6), 3278-3299 (1997).
  • "Feynman Integrals for a Class of Exponentially Growing Potentials" (with T. Kuna, W. Westerkamp) Journ. Math. Phys. 39, 4476-4491 (1998).
  • "Differential Geometry on Compound Poisson Space" (with Yu. Kondratiev, J. L. Silva) Meth. Funct. Anal. Topology 4, 32-58 (1998).
  • "Complex Gaussian Analysis and the Bargmann-Segal Space". (with M. Grothaus, Yu. Kondratiev) UMa-CCM 20/97, to appear in Meth. Funct. Anal. Topology.
  • "Nonlinear Evolution Equations with Gradient Coupled Noise" (with F. Benth, Th. Deck, J. Potthoff) Lett. Math. Phys. 43, 267-278 (1998).
  • "Analysis on Poisson and Gamma spaces" (with Yu. Kondratiev, J. L. Silva, G. Us) Inf. Dim. Anal. Qu. Prob.1, 91-117 (1998)
  • "Regular generalized functions in Gaussian analysis" (with M. Grothaus, Yu. Kondratiev) Inf. Dim. Anal. Qu. Prob 2, 1-25 (1999)
  • "Scaling limits for the solution of Wick type Burgers equation. (with Grothaus, M. and Kondratiev, Yu.G), Random Oper. Stochastic Equations, 8(1):1--26, 2000.
  • "The Renormalization of Self Intersection Local Times I: The Chaos Expansion." (with M. de Faria, C. Drumond). Inf. Dim. Anal. Qu. Prob. 3, 223-236 (2000).
  • "A Generalized Clark-Ocone Formula" (with M. de Faria, M. J. Oliveira). Random Oper. Stochastic Equations, 8, 163-174 (2000).
  • "Construction of Relativistic Quantum Fields in the Framework of White Noise analysis" (with M. Grothaus) J. Math. Phys. 40, 5387-5405 (1999).
  • "Knots, Feynman Diagrams and Matrix Models" (with M. Grothaus, I. V. Volovich) IDAQP 2, 359-380 (1999)
  • "Multiple Intersection Local Times in Terms of White Noise" (with S. Mendonca) IDAQP 4, 533-543 (2001).
  • "Quadratic Actions, Semi-Classical Approximation, and Delta Sequences in Gaussian analysis" (with M. Grothaus) Rep. Math. Phys. 44, 381-405 (1999).
  • "On regular Generalized Functions in White Noise Analysis and their Applications" (with M. Grothaus) Methods of Functional Analysis and Topology, 6 , no. 1, pp. 14-27 (2000)
  • "Intersection Local Times of Independent Brownian Motions as Generalized White Noise Functionals" (with S. Albeverio, M. J. Oliveira), Acta Appl. Math. 69, 221-241 (2001)
  • "Stochastic Control for a Class of Random Evolution Models," (with Max-Olivier Hongler, H. Mete Soner) Applied Mathematics and Optimization 49, 113-121 (2004)
  • "Feynman Integrals and White Noise Analysis," (with J. L. Silva) Madeira preprint Nr.67/02
  • "A note on the representation of conditional expectations for non-Gaussian noise," (with Tobias Kuna) Madeira preprint Nr.75 /03, accepted for publication in COSA.
  • M. Faria, M. J. Oliveira and L. Streit. Feynman Integrals for Non-Smooth and Rapidly Growing Potentials. J. Math. Phys. 2005.
  • L. Streit. "Higher Education To-Day -- A One Billion Euro Misunderstanding", 2004. Gazeta de Física, Portugal.
  • R. Jenane-Gannoun, R. Hachaichi and L. Streit: "Renormalisation du temps local des points triples du mouvement brownien," Madeira preprint 94/04, to appear in IDAQP, 2006.
  • M.J. Barber, Ph. Blanchard, E. Buchinger, B. Cessac, L. Streit. Learning as a social process: a model based on Luhmann's systems theory. JASSS . 112/05
  • Book: "White Noise. An infinite dimensional calculus." T. Hida, H. H. Kuo, J. Potthoff, L. Streit, Kluwer Academic, 1993.
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