List of Publications


72.     Kirchhoff's rule for quantum wires, with V. Kostrykin, J.Phys.A:
        Math.Gen. 32 595-630 (1999)

71.     Analytical treatment of stabilization, with C. Figueira de Morrison 
        Faria and A. Fring, to appear in Laser Physics 99.

70.     One-Dimensional Systems and Scattering Theory, preprint.

69.     Scattering theory approach to random Schrödinger operators in one 
        dimension, with V. Kostrykin, to appear in Rev. Math. Phys.
 
68.     Ionization Probabilities through ultra-intense fields in the
        extreme limit, with A. Fring and V. Kostrykin, to appear in
        J. Phys. A.: Math. Gen 30 8599-8610 (1997)

67.     On the influence of pulse shapes on ionization probability,
        with C. Figueira de Morrison Faria, A. Fring, J. Phys. B.:
        At. Mol. Opt. Phys. 31 449-464 (1998)

66.     Cluster properties of one particle Schrödinger operators II, 
        with V. Kostrykin, Rev. Math. Phys. 10 627-683 (1998)

65.     Invariants of 3-manifolds, unitary representations of the
        mapping class   group and numerical calculations, with
        M. Karowski and E. Vogt, Experimental Mathematics,
        6 317-352 (1997)

64.     On a certain class of hyperelliptic Riemann surfaces of
        infinite genus, with W. Müller and M. Schmidt, 
        Duke Math. Journ., 91 315-352 (1998)

63.     Theta functions for infinite period matrices, with W. Müller 
        and M. Schmidt,  International Mathematics Research 
        Notices 12, 565-587 (1997).

62.     On suppression of ionization of atoms and molecules by short
        strong laser pulses, with V. Kostrykin, 
        J. Phys. A: Math. Gen. 30, 265-275 (1997).

61.     A lattice model of local algebras of observables and fields
        with braid group statistics, with M. Karowski, 
        Helv. Phys. Acta 70, 192-246 (1997)

60.     On the absence of bound-state stabilization through short 
        ultra-intense fields, with A. Fring and V. Kostrykin, 
        J. Phys. B29, 5651 (1996).

59.     Ionization of Rydberg atoms by short strong laser pulses,
        with V. Kostrykin, 
        J. Phys. B: At. Mol. Opt. Phys. 28, L87-L92 (1995).

58.     Concavity properties of Krein's spectral shift function, 
        with R. Geisler and V. Kostrykin,
        Rev. Math. Phys. 7. 161-181 (1995).

57.     Ionization of Rydberg atoms by an electric field with
        V. Enss and V. Kostrykin, Phys. Rev. A 50, 1578-1580 (1994).

56.     Cluster properties of one particle Schrödinger operators, 
        with V. Kostrykin, Rev. Math.Phys. 6, 833-853 (1994).

55.     Hilbert spaces for nonrelativistic and relativistic "free"
        plektons (Particles with braid group statistics), with 
        J. Mund,  in: Proceedings of the Conference "Advances in 
        Dynamical Systems and Quantum Physics", Capri (Italy) 
        May 19-22 (1993), eds. S. Albeverio, R. Figari, E. Orlandi, 
        A. Teta, World Scientific, Singapore, 1995.

54.     State sum invariants of three-manifolds: A combinatorial
        approach to topological quantum field theories, with 
        M. Karowski, in: Infinite dimensional geometry in Physics, 
        Proceedings of the XXVIIth Winter School of Theoretical
        Physics, Karpacz, Poland 1992, eds. R. Gielerak, A. Borowiecz, in
        Journal of Geometry and Physics, 11, 181-190 (1993).

53.     A quantum group version of quantum gauge theories in two
        dimensions, with M. Karowski,
        J. Phys. A: Math. Gen. 25, L1151-L1154 (1992).

52.     A combinatorial approach to topological quantum field theories
        and invariants of graphs, with M. Karowski, 
        Commun. Math. Phys. 151, 355-402 (1993)

51.     State sum invariants of compact 3-manifolds with boundary and
        6j-symbols, with M.Karowski and W. Müller, 
        J. Phys. A: Math. Gen. 25, 4847-4860 (1992).

50.     Group theoretic formulation of the Segal-Wilson approach to
        integrable systems with applications, with G. Haak and M. Schmidt, 
        Rev. Math. Phys. 4, 451-499 (1992).

49.     Feynman Kac formulas for the Heisenberg ferromagnet I,
        with H. Hogreve, W. Müller, H.J. Potthoff, 
        Commun. Math. Phys. 131, 465-494 (1990); 
        Feynman Kac formulas for the Heisenberg ferromagnet II, 
        with H. Hogreve, W. Müller, H.J. Potthoff,
        Commun. Math. Phys. 132, 27-38 (1990).

48.     Nonlinear boundary value problems in quantum field theory, 
        Ann. Phys. 191, 258-285 (1989).

47.     Semiclassical asymptotics, gauge fields and quantum chaos, 
        with M. Taylor, J. Funct. Anal. 83, 258-316 (1989).

46.     Relative index theorems and supersymmetric scattering theory, 
        with N.V. Borisov and W.Müller, 
        Commun. Math. Phys. 114, 475-513 (1988).

45.     The SQUID as a measuring device for the electromagnetic
        response to gravitational waves, in SQUID' 85 Superconducting 
        Quantum Interference devices and their applications, eds. H.D.
        Halbohm, H. Lübbig; Walter de Gruyter, Berlin, 1985.

44.     Reflection positivity for the complementary series of SL (2n,C), 
        Publications of the Research Institute for Mathematical
        Science, Kyoto University 22, 119-142 (1987).

43.     Kinematic and tube formulas for piecewise linear spaces, 
        with J. Cheeger and W. Müller,
        Indiana Math. J. 35, 737-754 (1986).

42.     A study of d=4 U(1) lattice gauge theory with monopoles
        removed, with J.S. Barber and R. Shrock, 
        Phys. Lett. 152B, 221-225 (1985).

41.     String tension and glueball mass in a lattice theory of
        disconnected, selfintersecting random surfaces, 
        Commun. Math. Phys. 102, 31-46 (1985).

40.     On the Euler characteristic of random surfaces,
        J. Stat. Phys. 40, 533-561 (1985).

39.     Monte Carlo Simulations for quantum field theories involving
        fermions, with M. Karowski and H.J. Thun, 
        Commun.Math.Phys. 97, 5-29 (1985).

38.     On the electromagnetic response to gravitational waves,
        Phys. Lett. 143B, 421-426 (1984).

37.     Small h asymptotics for quantum partition functions associated
        to particles in external Yang-Mills potentials, with M. Taylor, 
        Commun. Math. Phys. 92, 555-594 (1984).

36.     On the curvature of piecewise flat spaces, with J. Cheeger
        and W. Müller, Commun. Math. Phys. 92, 405-454 (1984).

35.     Classical limits of quantum particles in external Yang-Mills 
        potentials, with H. Hogreve and H.J. Potthoff, 
        Comm. Math. Phys. 91, 573-598 (1983).

34.     Lattice gravity or Riemannian geometry of piecewise linear spaces,
        with J. Cheeger and W. Müller, in: Unified theories of
        elementary particles (Heisenberg Symposium 1981), 
        Lecture notes in Physics, Breitenlohner, P. , Dürr, H.P. (eds), Berlin,
        Heidelberg, New York, Springer (1982).

33.     Analytical and numerical evidence for hyperscaling in the d=3
        Ising model, with E. Tränkle, J. Stat. Phys. 25, 269-290 (1981).

32.     High Energy Behaviour for External Metrics and Yang-Mills
        Potentials, Z. Phys. C, Particles and Fields, 4, 27-36 (1980).

31.     Quantum Scattering by External Metrics and Yang Mills Potentials, with 
        P. Cotta-Ramusino, W. Krüger, 
        Ann. Inst. Henri Poincaré, 31, 43-71 (1979).

30.     A Conjecture on the Spinor Functional Determinant, with
        H. Hogreve and R.Seiler, Nuclear Physics B142, 525-534 (1978).

29.     A Uniform Lower Bound on the Renormalized Scalar Euclidean
        Functional Determinant, with R. Seiler, 
        Commun. Math. Phys. 61, 169-175 (1978).

28.     Kato´s Inequality and Spectral Distribution of Laplace
        Operators on Compact Riemannian Manifolds, with H. Hess 
        and D.A. Uhlenbrock, J. Diff. Geom. 15, 27-37 (1980).

27.     Towards a Constructive Approach of a Gauge Invariant, Massive 
        P(Ø)2 Theory, Commun. Math. Phys. 58, 299-312 (1978).

26.     Domination of Semigroups and Abstracts Kato´s Inequality, with
        H. Hess and D.A. Uhlenbrock, Duke Math. Journ. 44, 893-904 (1977).

25.     Classical Bounds and Limits for energy distributions of
        Hamilton Operators in electromagnetic fields, 
        with J.M. Combes and R. Seiler, Ann. Phys. 111, 1-18 (1978).

24.     New Correlation Inequalities for the Ising Model and
        P(Ø)Theories, Phys. Rev. B15, 2798 (1977).

23.     A possible constructive approach to Ø44 III,
        Commun. Math. Phys. 50, 97 (1976).

22.     New rigorous inequality for critical exponents in the Ising model,
        Phys. Rev. B14, 172(1976).

21.     A possible constructive approach to Ø44 II,
        Ann. Inst. H. Poinc. 14, 172 (1976).

20.     A possible constructive approach to Ø44,
        Commun. Math. Phys. 49, 131 (1976).

19.     A possible constructive approach to Ø44. Talk presented at the
        International Colloquium on Mathematical Methods in Quantum Field Theory, 
        June 23-27, 1975, Proceedings of the CNRS (Marseille) 1976

18.     Axioms for Euclidean Green´s Functions II, with
        K. Osterwalder, Commun. Math. Phys. 42, 281 (1975).

17.     Local Operator Products and Field Equations in P(Ø)2 Theories,
        Fortschr. d.Physik 22, 611 (1974).

16.     Markov Structure on Clifford Algebras, with D.A. Uhlenbrock, 
        J. Funct. Anal. 18, 369 (1974).

15.     On the Euclidean Version of Haag's Theorem in P(Ø)2 Theories, 
        Commun. Math. Phys. 36, 133 (1974).

14.     Eulidean Fermi Fields and a Feynman-Kac Formula for Boson-
        Fermion Models, with K. Osterwalder, Helv. Phys. Act. 46, 277 (1973).

13.     Axioms for Euclidean Green's Functions, with K. Osterwalder, 
        Commun. Math. Phys. 31, 83 (1973).

12.     Feynman-Kac Formula for Euclidean Fermi and Boson Field, with
        K. Osterwalder, Phys. Rev. Lett. 29, 1423 (1972).

11.     The Maxwell Group and the Quantum Theory of Particles in
        Classical Homogeneous Electromagnetic Fields, 
        Fortschr. d. Phys. 20, 701 (1972).

10.     On the Uniqueness of the Energy Density in the Infinite Volume
        Limit for Quantum Field Models, with K. Osterwalder, 
        Helv. Phys. Act. 45, 746 (1972).

9.      Yukawa Quantum Field Theory without Cutoffs in two Space-Time
        Dimensions, Ann.Phys. 70, 412 (1972).

8.      A Remark on Yukawa plus Boson Selfinteraction in two
        Space-Time Dimensions, Commun.Math.Phys. 21, 164 (1971).

7.      On Ground States in Classical Lattice Systems with Hard Core,
        Commun. Math. Phys. 16, 247 (1970).

6.      Elaboration of lecture Notes for A. Martin: Scattering theory: 
        Unitarity, Analyticity and Crossing, Springer,
        Berlin-Heidelberg-New-York (1969).

5.      On the Existence of a Local Hamiltonian in the Galileian
        Invariant Lee Model, Commun. Math. Phys. 10, 155 (1968).

4.      Matrix Elements of the Unitary Representations of the
        Homogeneous Lorentz Group. with H. Joos, 
        DESY preprint 68/40 (1968).

3.      On the Primitive Characters of the Poincare Group, with 
        H. Joos, Commun. Math. Phys. 7, 21 (1968).

2.      A Note on L.D. Faddeev's Three Particle Theory, with S. Albeverio,
        W. Hunziker, W. Schneider, H.P.A. 40, 745 (1967).

1.      Poincare Group Characters, with H. Joos in Lectures
        in Theoretical Physics, Vol. VII, 
        University of Colorado Press, Boulder (1964).

Fachbereich Physik

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