Mathematics in Physics and Philosophy Group

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Preprints

  • arXiv.org: Up-to-date list of all our preprints

Books

A Minimalist Ontology of the Natural World A Minimalist Ontology of the Natural World
M. Esfeld, D.-A. Deckert (2018)
Routledge
ISBN-13: 978-1138307308
Electrodynamic Absorber Theory - A Mathematical Study Electrodynamic Absorber Theory - A Mathematical Study
D.-A. Deckert (2010)
Der Andere Verlag
ISBN-13: 978-3862470044

Book Chapters

Guiding Waves in Quantum Mechanics Chapter "Spin-aware movement of electrons and time-of-flight momentum spectroscopy"
Das, S. (2025)
Guiding Waves in Quantum Mechanics: One Hundred Years of de Broglie-Bohm Pilot-Wave Theory
A. Oldofredi (Editor)
Oxford University Press
ISBN-13: 978-0198901853
Physics and the Nature of Reality Chapter "Eigenstates in the Many Interacting Worlds Approach: Focus on 2D Ground States"
H. Herrmann, M. J. W. Hall, H. M. Wiseman, D.-A. Deckert (2024)
Physics and the Nature of Reality. Fundamental Theories of Physics, vol. 215
A. Bassi, S. Goldstein, R. Tumulka, N. Zanghì (Editors)
Springer, Cham, pp. 125–140
ISBN-13: 978-3031454349
Physics and the Nature of Reality Chapter "The Ergodic Hypothesis: A Typicality Statement"
P. Reichert (2024)
Physics and the Nature of Reality. Fundamental Theories of Physics, vol. 215
A. Bassi, S. Goldstein, R. Tumulka, N. Zanghì (Editors)
Springer, Cham, pp. 285–299
ISBN-13: 978-3031454349
Physics and the Nature of Reality Chapter "Vacuum Polarisation Without Infinities"
D.-A. Deckert, F. Merkl, M. Nöth (2024)
Physics and the Nature of Reality. Fundamental Theories of Physics, vol. 215
A. Bassi, S. Goldstein, R. Tumulka, N. Zanghì (Editors)
Springer, Cham, pp. 249–265
ISBN-13: 978-3031454349
Statistical Mechanics and Scientific Explanation Chapter "Arrow(s) of Time Without a Past Hypothesis"
D. Lazarovici, P. Reichert (2020)
Statistical Mechanics and Scientific Explanation. Determinism, Indeterminism, and Laws of Nature
V. Allori (Editor)
World Scientific, Singapore, ch. 10, pp. 343–386
ISBN-13: 978-981-12-1172-0
Quantum Trajectories (Atoms, Molecules, and Clusters) Chapter "Bohmian Grids and the Numerics of Schrödinger Evolutions"
D.-A. Deckert, D. Dürr, P. Pickl (2017)
Quantum Trajectories (Atoms, Molecules, and Clusters)
P. K. Chattaraj (Editor)
CRC Press
ISBN-13: 978-1439825617
Mathematical Questions and Challenges in Quantum Electrodynamics and its Applications Mathematical Questions and Challenges in Quantum Electrodynamics and its Applications
V. Bach, M. Ballesteros, D.-A. Deckert, I. M. Sigal (2017)
Oberwolfach Reports 14(3):2539–2599

Articles

  1. Absorbing detectors versus scattering theory. W. Cavendish, S. Das. Physical Review A. 112(6):062217. (2025)
  2. Double-slit experiment revisited. S. Das, D.-A. Deckert, L. Kellers, S. Krekels, W. Struyve. Annals of Physics. 479:170054. (2025)
  3. Numerical investigation of a recent radiation reaction model and comparison to the Landau-Lifschitz model. C. Bild, H. Ruhl, D.-A. Deckert. Physical Review E. 111(5):055309. (2025)
  4. Essentially Ergodic Behaviour. P. Reichert. The British Journal for the Philosophy of Science. 74(1):57-73. (2023)
  5. Correct Aharonov-Bohm wave functions for half-integer flux. S. Das. Europhysics Letters. 139(6):60002. (2022)
  6. The Point of Primitive Ontology. D. Lazarovici, P. Reichert. Foundations of Physics. 52(6):120. (2022)
  7. Comparison of the mean field and Bohmian semi-classical approximations to the Rabi model. D.-A. Deckert, L. Kellers, T. Norsen, W. Struyve. International Journal of Modern Physics B. 35(26):2150270. (2021)
  8. Investigating Total Collisions of the Newtonian N-Body Problem on Shape Space. P. Reichert. Foundations of Physics. 51(2):32. (2021)
  9. Questioning the adequacy of certain quantum arrival-time distributions. S. Das, W. Struyve. Physical Review A. 104(4):042214. (2021)
  10. Times of arrival and gauge invariance. S. Das, M. Nöth. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences. 477(2250):20210101. (2021)
  11. Total Collisions in the N-Body Shape Space. F. Mercati, P. Reichert. Symmetry. 13(9):1712. (2021)
  12. One-boson scattering processes in the massive Spin-Boson model. M. Ballesteros, D.-A. Deckert, J. Faupin, F. Hänle. Journal of Mathematical Analysis and Applications. 489(1):124094. (2020)
  13. One-boson scattering processes in the massless Spin-Boson model – A non-perturbative formula. M. Ballesteros, D.-A. Deckert, F. Hänle. Advances in Mathematics. 371:107248. (2020)
  14. A Persistent Particle Ontology for Quantum Field Theory in Terms of the Dirac Sea. D.-A. Deckert, M. Esfeld, A. Oldofredi. The British Journal for the Philosophy of Science. 70(3):747-770. (2019)
  15. Analyticity of resonances and eigenvalues and spectral properties of the massless Spin–Boson model. M. Ballesteros, D.-A. Deckert, F. Hänle. Journal of Functional Analysis. 276(8):2524-2581. (2019)
  16. Arrival Time Distributions of Spin-1/2 Particles. S. Das, D. Dürr. Scientific Reports. 9(1):2242. (2019)
  17. Distinguished Self-Adjoint Extension of the Two-Body Dirac Operator with Coulomb Interaction. D.-A. Deckert, M. Oelker. Annales Henri Poincaré. 20(7):2407-2445. (2019)
  18. Exotic Bohmian arrival times of spin-1/2 particles: An analytical treatment. S. Das, M. Nöth, D. Dürr. Physical Review A. 99(5):052124. (2019)
  19. Multi-time dynamics of the Dirac-Fock-Podolsky model of QED. D.-A. Deckert, L. Nickel. Journal of Mathematical Physics. 60(7):072301. (2019)
  20. Radiation reaction in classical electrodynamics. C. Bild, D.-A. Deckert, H. Ruhl. Physical Review D. 99(9):096001. (2019)
  21. Relation Between the Resonance and the Scattering Matrix in the Massless Spin-Boson Model. M. Ballesteros, D.-A. Deckert, F. Hänle. Communications in Mathematical Physics. 370(1):249-290. (2019)
  22. Authors’ response: the virtues of minimalism in ontology and epistemology. M. Esfeld, D.-A. Deckert. Metascience. 27(3):443-451. (2018)
  23. Global solutions to the electrodynamic two-body problem on a straight line. G. Bauer, D.-A. Deckert, D. Dürr, G. Hinrichs. Zeitschrift für angewandte Mathematik und Physik. 68(3):71. (2017)
  24. Relationalism about mechanics based on a minimalist ontology of matter. A. Vassallo, D.-A. Deckert, M. Esfeld. European Journal for Philosophy of Science. 7(2):299-318. (2017)
  25. What is matter? The fundamental ontology of atomism and structural realism. D.-A. Deckert, M. Esfeld, A. Oldofredi. Oxford University Press. Edited by A. Ijjas and B. Loewer. (2017)
  26. A Perspective on External Field QED. D.-A. Deckert, F. Merkl. Quantum Mathematical Physics. 381-399. (2016)
  27. Consistency of multi-time Dirac equations with general interaction potentials. D.-A. Deckert, L. Nickel. Journal of Mathematical Physics. 57(7):072301. (2016)
  28. Dynamics of sound waves in an interacting Bose gas. D.-A. Deckert, J. Fröhlich, P. Pickl, A. Pizzo. Advances in Mathematics. 293:275-323. (2016)
  29. Electrodynamic two-body problem for prescribed initial data on a straight line. D.-A. Deckert, G. Hinrichs. Journal of Differential Equations. 260(9):6900-6929. (2016)
  30. Exact energy quantization condition for single Dirac particle in one-dimensional (scalar) potential well. S. Das. Journal of Physics A: Mathematical and Theoretical. 49(21):215302. (2016)
  31. External Field QED on Cauchy Surfaces for Varying Electromagnetic Fields. D.-A. Deckert, F. Merkl. Communications in Mathematical Physics. 345(3):973-1017. (2016)
  32. From the Universe to Subsystems: Why Quantum Mechanics Appears More Stochastic than Classical Mechanics. A. Oldofredi, D. Lazarovici, D.-A. Deckert, M. Esfeld. Fluctuation and Noise Letters. 15(03):1640002. (2016)
  33. On the initial value formulation of classical electrodynamics. D.-A. Deckert, V. Hartenstein. Journal of Physics A: Mathematical and Theoretical. 49(44):445202. (2016)
  34. Delay Equations in Electrodynamics. D.-A. Deckert, G. Hinrichs. Fields Institute For Research in Mathematical Sciences Newsletter. Canada, 24. (2015)
  35. Ein Märchen von Statistik—eine Wahrheit über die Natur. D.-A. Deckert, P. Pickl. Carathéodory Society for promoting mathematics in economy, universities, and schools at LMU Munich, Germany. 24. (2015)
  36. Tunneling through one-dimensional piecewise-constant potential barriers. S. Das. American Journal of Physics. 83(7):590-599. (2015)
  37. Typicality, Irreversibility and the Status of Macroscopic Laws. D. Lazarovici, P. Reichert. Erkenntnis. 80(4):689-716. (2015)
  38. Delay Equations of the Wheeler–Feynman Type. D.-A. Deckert, D. Dürr, N. Vona. Journal of Mathematical Sciences. 202(5):623-636. (2014)
  39. Dirac equation with external potential and initial data on Cauchy surfaces. D.-A. Deckert, F. Merkl. Journal of Mathematical Physics. 55(12):122305. (2014)
  40. Effective Dynamics of a Tracer Particle Interacting with an Ideal Bose Gas. D.-A. Deckert, J. Fröhlich, P. Pickl, A. Pizzo. Communications in Mathematical Physics. 328(2):597-624. (2014)
  41. On Irreversibility and Radiation in Classical Electrodynamics of Point Particles. G. Bauer, D.-A. Deckert, D. Dürr, G. Hinrichs. Journal of Statistical Physics. 154(1-2):610-622. (2014)
  42. On the spontaneous emission of electromagnetic radiation in the CSL model. S. Donadi, D.-A. Deckert, A. Bassi. Annals of Physics. 340(1):70-86. (2014)
  43. Quantum Phenomena Modeled by Interactions between Many Classical Worlds. M. J. W. Hall, D.-A. Deckert, H. M. Wiseman. Physical Review X. 4(4):041013. (2014)
  44. Ultraviolet Properties of the Spinless, One-Particle Yukawa Model. D.-A. Deckert, A. Pizzo. Communications in Mathematical Physics. 327(3):887-920. (2014)
  45. Maxwell-Lorentz Dynamics of Rigid Charges. G. Bauer, D.-A. Deckert, D. Dürr. Communications in Partial Differential Equations. 38(9):1519-1538. (2013)
  46. On the existence of dynamics in Wheeler–Feynman electromagnetism. G. Bauer, D.-A. Deckert, D. Dürr. Zeitschrift für angewandte Mathematik und Physik. 64(4):1087-1124. (2013)
  47. The mass shell of the Nelson model without cut-offs. S. Bachmann, D.-A. Deckert, A. Pizzo. Journal of Functional Analysis. 263(5):1224-1282. (2012)
  48. Breaking quantum linearity: Constraints from human perception and cosmological implications. A. Bassi, D.-A. Deckert, L. Ferialdi. Europhysics Letters. 92(5):50006. (2010)
  49. Time-evolution of the external field problem in Quantum Electrodynamics. D.-A. Deckert, D. Dürr, F. Merkl, M. Schottenloher. Journal of Mathematical Physics. 51(12):122301. (2010)
  50. Noise gates for decoherent quantum circuits. A. Bassi, D.-A. Deckert. Physical Review A. 77(3):032323. (2008)
  51. Quantum Dynamics with Bohmian Trajectories. D.-A. Deckert, D. Dürr, P. Pickl. Journal of Physical Chemistry A. 111(41):10325-10330. (2007)

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