Fachbereich Mathematik

Roderich Tumulka's Preprints and Publications

    • Multi-Time Version of the Landau-Peierls Formulation of Quantum Electrodynamics
      with Matthias Lienert
      Coming soon (2023)

    • On a Derivation of the Absorbing Boundary Rule
      arXiv: 2310.01343 [abstract, PDF]

    • Physical Meaning of Neumann and Robin Boundary Conditions for the Schrödinger Equation
      arXiv: 2309.15835 [abstract, PDF]

    • On the Spin Dependence of Detection Times and the Nonmeasurability of Arrival Times
      with Sheldon Goldstein and Nino Zanghì
      arXiv: 2309.11835 [abstract, PDF]

    • Canonical Typicality For Other Ensembles Than Micro-Canonical
      with Stefan Teufel and Cornelia Vogel
      arXiv: 2307.15624 [abstract, PDF]

    • Typical Macroscopic Long-Time Behavior for Random Hamiltonians
      with Stefan Teufel and Cornelia Vogel
      arXiv: 2303.13242 [abstract, PDF]

    • Creation Rate of Dirac Particles at a Point Source
      with Joscha Henheik
      To appear in Journal of Physics A: Mathematical and Theoretical (2023)
      arXiv: 2211.16606 [abstract, PDF]

    • Empirically Equivalent Distributions in Ontological Models of Quantum Mechanics
      arXiv: 2205.04331 [abstract, PDF]

    • The man who explained quantum mechanics
      A book review of David Bohm: A Life Dedicated to Understanding the Quantum World by Olival Freire Junior, Springer (2019)
      Physics Today 73(7): 53-54 (2020)

    • Energy-Time Uncertainty Relation for Absorbing Boundaries
      arXiv: 2005.14514 [abstract, PDF]

    • Thermal Equilibrium Distribution in Infinite-Dimensional Hilbert Spaces
      Reports on Mathematical Physics 86: 303-313 (2020)
      arXiv: 2004.14226 [abstract, PDF]

    • Existence of Schrödinger Evolution with Absorbing Boundary Condition
      with Stefan Teufel.
      To appear in Quantum Studies: Mathematics and Foundations (2023)
      arXiv: 1912.12057 [abstract, PDF]

    • On Bohmian Mechanics, Particle Creation, and Relativistic Space-Time: Happy 100th Birthday, David Bohm!
      Writeup of a talk I gave at the conference EmQM17 in London, October 26-28, 2017
      Entropy 20(6): 462 (2018)
      arXiv: 1804.08853 [abstract, PDF]

    • Paradoxes and Primitive Ontology in Collapse Theories of Quantum Mechanics
      Pages 134-153 in: Shan Gao (editor), Collapse of the Wave Function, Cambridge University Press (2018)
      arXiv:1102.5767 [abstract, PDF]

    • Detection Time Distribution for the Dirac Equation
      arXiv:1601.04571 [abstract, PDF]

    • On the Question Why There Exists Something Rather Than Nothing
      Pages 76-82 in K. Chamcham, J. Silk, J.D. Barrow, and S. Saunders (editors): The Philosophy of Cosmology, Cambridge University Press (2017)
      arXiv:2111.11968 [abstract, PDF]

    • The Bohmian Approach to the Problems of Cosmological Quantum Fluctuations
      with Sheldon Goldstein and Ward Struyve
      To appear in British Journal for the Philosophy of Science (2023)
      arXiv:1508.01017 [abstract, PDF]

    • Comment on: Maximal violation of Bell inequalities by position measurements
      with Detlef Dürr, Sheldon Goldstein, Tim Maudlin, Robin Schlenga, Daniel V. Tausk, and Nino Zanghì.
      arXiv:1408.1651 [abstract, PDF]

    • Fermionic Wave Functions on Unordered Configurations
      with Sheldon Goldstein, James Taylor, and Nino Zanghì.
      arXiv:1403.3705 [abstract, PDF]

    • The Quantum Formalism and the GRW Formalism
      with Sheldon Goldstein and Nino Zanghì.
      Journal of Statistical Physics 149: 142-201 (2012)
      "Along with the hundreds of junk papers on foundations of quantum mechanics there must be at least a few gems. This is one of them." (anonymous referee)
      arXiv:0710.0885 [abstract, PDF]

    • Bohmian Trajectories as the Foundation of Quantum Mechanics
      with Sheldon Goldstein and Nino Zanghì.
      Pages 1-15 in: Pratim Chattaraj (editor), Quantum Trajectories. Boca Raton: Taylor & Francis (2010)
      arXiv:0912.2666 [abstract, PDF]

    • Bohmian Mechanics
      with Detlef Dürr, Sheldon Goldstein, and Nino Zanghì.
      In: F. Weinert, K. Hentschel, and D. Greenberger (editors), Compendium of Quantum Physics, Springer-Verlag (2009)
      arXiv:0903.2601 [abstract, PDF]

    • Orthonormal Basis [PDF], Conjugate Complex Number [PDF], Dirac Notation [PDF], Pauli Spin Matrices [PDF], POVM [PDF], Trace [PDF]
      In: F. Weinert, K. Hentschel, and D. Greenberger (editors), Compendium of Quantum Physics, Springer-Verlag (2009).

    • Bohmian Mechanics [PDF]
      David Bohm [PDF]
      John Bell and Bell's Theorem [PDF]
      with Detlef Dürr, Sheldon Goldstein, and Nino Zanghì.
      In D. M. Borchert (editor), Encyclopedia of Philosophy, Second Edition, Macmillan Reference USA (2006)

    • Some Jump Processes in Quantum Field Theory
      with Hans-Otto Georgii.
      Pages 55-73 in: J.-D. Deuschel, A. Greven (editors), Interacting Stochastic Systems. Berlin: Springer-Verlag (2005)
      arXiv:math.PR/0312326 [abstract, PDF]

    • Ph.D. thesis [PDF]
      Written in 2001 at the Mathematics Institute of Ludwig-Maximilians-Universität München. Advisor: Detlef Dürr.

    • Würfelt Gott? Und wenn ja, wann? [html]
      Süddeutsche Zeitung 4.1.2000
      This is a report on the conference "Chance in Physics: Foundations and Perspectives", Ischia, Italy, 29.11.-3.12.1999

    • Diplomarbeit (in German) [PS]
      Written in 1998 at the Mathematics Department of Johann-Wolfgang-Goethe-Universität Frankfurt am Main. Advisor: H.F. de Groote.