Bernd Thaller

Publication List








Books

  1. "The Dirac Equation"
    Monographie, pp. 357+XVII.
    Texts and Monographs in Physics. W. Beiglböck, E. Lieb, W. Thirring (Hrsg.)
    Springer Verlag, Berlin, Heidelberg, New York 1992
  2. "Visual Quantum Mechanics - Selected Topics with computer generated movies of quantum mechanical phenomena"
    Book/CD combination, Springer-Verlag New York 2000, ISBN 0-387-98929-3
  3. "Advanced Visual Quantum Mechanics", Book/CD combination, Springer New York 2004, ISBN 0-387-20777-5

Journals and refereed contributions

  1. On the high-energy behaviour of scattering phase shifts for Coulomb-like potentials,
    in: J. Phys. A: Math. Gen. 13, 2659-2671 (1980),
    with F. Gesztesy and W. Plessas
  2. Born expansions for Coulomb-type interactions,
    in: J. Phys. A: Math. Gen. 14, 639-657 (1981),
    with F. Gesztesy
  3. Potential scattering of Dirac particles,
    in: J. Phys. A: Math. Gen. 14, 3067-3083 (1981)
  4. Proper-time quantum mechanics and the Klein paradox,
    in: Lettere al Nuovo Cimento 31, 439-444 (1981)
  5. Spectral concentration in the nonrelativistic limit,
    in: Physics Letters 116B, 155-157 (1982),
    with F. Gesztesy and H. Grosse
  6. Efficient method for calculating relativistic corrections for spin-1/2 particles,
    in: Physical Review Letters 50, 625-628 (1983),
    with F. Gesztesy and H. Grosse
  7. A rigorous approach to relativistic corrections of bound state energies for spin-1/2 particles,
    in: Ann. Inst. H. Poincare,e 40, 159-174 (1984),
    with F. Gesztesy and H. Grosse
  8. Remarks on the localization of Dirac particles,
    in: Il Nuovo Cimento 82A, 222-228 (1984),
    with S. Thaller
  9. Relativistic corrections to bound-state energies for two-fermion systems,
    in: Physical Review D30, 2189-2193 (1984),
    with F. Gesztesy and H. Grosse
  10. Particles in sperical electromagnetic radiation fields,
    in: Physical Review A31, 2030-2037 (1985),
    with H. Mitter
  11. On the self-adjointness of Dirac operators with anomalous magnetic moment,
    in: Proceedings of the AMS 94, 115-118 (1985),
    with F. Gesztesy and B. Simon
  12. First order relativistic corrections and spectral concentration,
    in: Adv. Appl. Math. 6, 159-176 (1985),
    with F. Gesztesy and H. Grosse
  13. Asymptotic observables and Coulomb scattering for the Dirac equation,
    in: Ann. Inst. H. Poincare,e 45, 147-171 (1986),
    with V. Enss
  14. Relativistic scattering theory for long-range potentials of the nonelectrostatic type,
    in: Lett. Math. Phys. 12, 15-19 (1986)
  15. Scattering of particles by long-range magnetic fields,
    in: Annals of Physics 176, 159-180 (1987),
    with M. Loss
  16. Normal forms of an abstract Dirac operator and applications to scattering theory,
    in: J. Math. Phys. 29, 249-257 (1988)
  17. Short-range scattering in long-range magnetic fields: The relativistic case,
    in: J. Diff. Eq. 73, 225-236 (1988),
    with M. Loss
  18. Scattering theory of a supersymmetric Dirac operator, in: "Differential Equations with Applications in Biology, Physics and Engineering", J. Goldstein, F. Kappel, W. Schappacher (Hrsg.), 313-326, Lecture notes in pure and applied mathematics, Vol. 133, Marcel Dekker, New York, Basel, Hong-Kong 1991.
  19. A Criterion for Essential Self-Adjointness,
    in: J. Op. Theory 31, 351-361 (1995)
  20. Factorization of Degenerate Cauchy Problems
    J.Op.Theory 36, 121-146 (1996)
    with S. Thaller,
  21. Optimal Heat Kernel Estimates for Schrödinger Operators with Magnetic Fields,
    Commun. Math. Phys. 186 (1), 95-107 (1997)
    with M. Loss
  22. Quantum Mechanical Wavefunctions in 3D Visualized with AVS,
    Computers in Physics, November/December 1996, pp. 558-566
    with J. Pauschenwein
  23. InterCall and the Visualization of Quantum Mechanical Wave Functions.
    in "The InterCall Book", Trefry and Abbott (Eds), Analytica International, Perth, Australia, ISBN 0-646-35666-6, July 1998
  24. The Visualization of Complex Functions, The Mathematica Journal 7(2), 163-180 (1998)
  25. Semigroup Theory of Degenerate Cauchy Problems,
    Semigroup Forum 62, 375-398 (2001)
    with S. Thaller
  26. Semirelativistic Wave Scattering, in: Scattering, P. Sabatier and E.R. Pike (eds), Academic Press 2002, ISBN 0-12-613760-9
  27. Messen von Radwegen mit Mathematica und MathDesktop, MNU 57(5), 271-276 (2004)
    with M. Smole, R. Simonovits
  28. Visual Tools for Quantum Mechanics. iJet 1, Heft 2 (2006)
  29. Exciting Normal Distribution. Int. J. of Technology in Mathematics Education Vol.15 Number 1 (2008)
    with K. Fuchs and R. Simonovits
  30. Visualisierung quantendynamischer Systeme. Computeralgebra-Rundbrief 41 (2007)

Contributions to books and proceedings

  1. Scattering from magnetic fields,
    in "Recent Developments in Mathematical Physics", Proceedings of the XXVI Int. Universitätswochen für Kernphysik 1987, Schladming; H. Mitter and L. Pittner eds., Springer Verlag Berlin, Heidelberg, New York (1987),
    with M. Loss
  2. Dirac particles in magnetic fields,
    in: "Recent Developments in Quantum Mechanics", A. Boutet de Monvel et al. (Hrsg.), 351-366, Kluwer Academic Publishers 1991
  3. Norm Estimates for Schrödinger Semigroups with Magnetic Fields,
    in: Proceedings of the 7th International Colloquium on Differential Equations, Plovdiv, Bulgaria (1996), Ed. D. Bainov, VSP BV Utrecht 1997
    with M. Loss
  4. The Weyl theorem (on operator perturbation), Encyclopeadia of Mathematics, Supplement II, page 507. M. Hazewinkel (ed.), Kluwer Academic Publishers 2000, ISBN 0-7923-6114-8.
  5. The Dirac Operator, in: Relativistic Electronic Structure Theory, Part 1. Fundamentals, P. Schwerdtfeger, ed., p.23-106,. Elsevier 2002, ISBN 0444 512497
  6. Math Desktop and the LTM project. Conference proceedings of IMS06 published on CD-ROM. Report presented at the conference "International Mathematica Symposium 2006" in Avignon, FR, 18.-24.6.2006
    with P.Ramsden, R.Simonovits
  7. "CAS for Math e-Learning - Extended Abstract" - contribution for ICL2007 in Villach, June 2007
    with R. Simonovits.
  8. "CAS for Mathematics e-Learning - a European Perspective", Proceedings, ICL 2007 Villach - International Conference on interactive Computer Aided Learning (M. Auer, Ed.)
    with R. Simonovits
  9. Teaching Math with M@th Desktop Units in High Schools. Proceedings of the IMS08 on CD-ROM. International Mathematica Symposium 2008, Maastricht.
    with P. Ramsden, R. Simonovits
  10. E-learning unit: Modelling the Thyroid Treatment with Iodine 131 (Exponential function). Proceedings of the IMS08 on CD-ROM. International Mathematica Symposium 2008, Maastricht.
    with P. Ramsden, R. Simonovits, V. Moser, K. Rieber.
  11. Teaching math with M@th Desktop units in High Schools, Extended Abstract. International Mathematica Symposium 2008, Maastricht
    with P. Ramsden, R. Simonovits
  12. Using M@th Desktop - LTM notebooks and palettes in the classroom, Extended Abstract for Workshop. Proceedings of the IMS08 on CD-ROM. International Mathematica Symposium 2008, Maastricht
    with P. Ramsden, R. Simonovits
  13. E-learning unit: Modelling the Thyroid Treatment with Iodine 131 (Exponential function), Extended Abstract. Proceedings of the IMS08 on CD-ROM. International Mathematica Symposium 2008, Maastricht
    with P. Ramsden, R. Simonovits
  14. M@th Desktop and LTM: Design and Realization of e-Learning Material for High Schools. Proceedings of the IMS08 on CD-ROM. International Mathematica Symposium 2008, Maastricht
    with P. Ramsden, R. Simonovits
  15. M@th Desktop and LTM: Design and Realization of e-Learning Material for High Schools, Extended Abstract. Proceedings of the IMS08 on CD-ROM.
    with P. Ramsden, R. Simonovits

Technical Reports

  1. Teilchen in elektromagnetischen Kugelwellenfeldern
    Institut f. Theoret. Physik, Universität Graz, 1983
  2. Short-range scattering from long-range magnetic fields,
    in: "Danish-Swedish analysis seminar on partial differential equations and mathematical physics", Report Series 1/1987,
    with M. Loss
  3. Some Considerations on Degenerate Control Systems: The LQR Problem.
    Report Nr. 45 of SFB 003 (1995), 22pp.
    with S. Thaller
  4. Optimal Lp-Lq Estimate for the Schrödinger Semigroup with a Magnetic Field in Two Dimensions, Grazer Mathematische Berichte 328, 53-64 (1996), ISSN 1016-7692
    with M. Loss
  5. Approximation of degenerate Cauchy problems, Report Nr. 76 of SFB 003 (1996), 13pp.
    with S. Thaller
  6. Comparison Theorem for Schrödinger Semigroups with Magnetic Fields in Two Dimensions, SEAMS "International conference on Mathematics and its Applications" (1999).
  7. Visualizing the kinematics of Dirac wave packets, preprint 2004. quant-ph/0409079

Others

  1. Elektron-Positron Interpretation der Diracgleichung, Dissertation, Karl-Franzens Universität Graz, Juni1981
  2. Streutheorie für die Dirac- und Schrödingergleichung mit langreichweitigen Kraftfeldern, Habilitationsschrift, Universität Graz 1987
  3. Sprachkompetenz und Mathematik.(= tribüne. Zeitschrift für Sprache und Schreibung. 2/2010.) - Veröffentlichung der Beiträge des interdisziplinären Symposiums "Sprachkompetenz und Mathematik" am 16. November 2009 an der KFUG (veranstaltet von den Hrsg.).
    with Wernfried Hofmeister, Sabine Schmölzer-Eibinger (Ed.)

Computer Programs

  1. "ArgColorPlot.m", Mathematica Package, in "The InterCall Book" - Supplementary material, Trefry and Abbott (Eds), Analytica International, Perth, Australia, ISBN 0-646-35666-6, July 1998
  2. "ColorPlot2D.m", Mathematica Package, in "The InterCall Book" - Supplementary material, Trefry and Abbott (Eds), Analytica International, Perth, Australia, ISBN 0-646-35666-6, July 1998
  3. "ComplexPlot.m", Mathematica Package for the visualization of complex-valued functions. The Mathematica Journal, MathSource.
  4. "VQM", Software accompanying the book "Visual Quantum Mechanics", ISBN 0-387-98929-3. European Academic Software Award 2000.
  5. "AVQM", Software accompanying the book "Advanced Visual Quantum Mechanics", ISBN 0-387-20777-5, European Academic Software Award 2004.
  6. "VQM packages", collection of Mathematica packages for quantum-mechanical computations and visualizations, Supplement for "VQM" and "AVQM".
  7. "QuantumGL", with Wolfgang Thaller. Supplement for "AVQM". OpenGL-based application for 3D visualization of high-dimensional data fields.

Media Contributions

  1. Cover image of Computers in Physics, November/December 1996
  2. Illustrations for Quanten-Ästhetik, in Uni-Zeit 5/2000, p.4,5 und cover image
  3. Internet-Exhibition: comart-graz. Datenstrukturen:bernd thaller: v-q-m
    with Ingrid Moschik and Gerhard M Kindlinger
  4. Internet-Exhibition: comart-graz. Datenstrukturen bernd thaller: AVQM
    with Ingrid Moschik and Gerhard M Kindlinger
  5. Visual Quantum Mechanics Examples. Contribution for the CD-ROM for the 9th Workshop on Multimedia in Physics Teaching and Learning, Graz 2004