Research

• Topics from Quantum Physics including
  • Many Body Quantum Mechanics
  • Quantum Field Theory
• Spectral Theory
• Renormalization Group Analysis
• Partial Differential Equations
• Random Schrödinger Operators

Preprints on arXiv

• D. Hasler, B. Hinrichs, O. Siebert
  Non-Fock Ground States in the Translation-Invariant Nelson Model Revisited Non-Perturbatively
  arXiv:2302.06998Externer Link
• D. Hasler, J. Koberstein
  Approximating the density of states for Poisson distributed random Schroedinger operators
  arXiv:2302.05234Externer Link
• D. Hasler, C. Lejsek
  On dilation analyticity and spatial exponential decay of atomic ground states in non-relativistic qed
  arXiv:2301.11679Externer Link
• D. Hasler, M. Lange
  Symmetries in non-relativistic quantum electrodynamics
  arXiv:2301.08678Externer Link
• B. Hinrichs, O. Matte
  Feynman-Kac formula and asymptotic behavior of the minimal energy for the relativistic Nelson model in two spatial dimensions
  arXiv:2211.14046Externer Link
• D. Hasler, M. Lange
  Degenerate perturbation theory for models of quantum field theory with symmetries
  arXiv:2210.16799Externer Link
• D. Hasler, J. Koberstein
  On asymptotic expansions of the density of states for Poisson distributed random Schrödinger operators
  arXiv:2208.01578Externer Link
• D. Hasler, O. Siebert
  Ground States for Infrared Renormalized Translation-Invariant Non-Relativistic QED
  arXiv:2207.09559Externer Link
• B. Hinrichs, D.W. Janssen, J. Ziebell
  Super-Gaussian Decay of Exponentials: A Sufficient Condition
  arXiv:2205.09189Externer Link
• D. Hasler
  On one photon scattering in non-relativistic qed
  arXiv:2106.07789Externer Link

Published Articles

• D. Hasler, O. Siebert
  Ground States for translationally invariant Pauli-Fierz Models at zero Momentum
  J. Funct. Anal. 284(1):109725, 2023.
   doi:10.1016/j.jfa.2022.109725Externer Link arXiv:2007.01250Externer Link
• B. Hinrichs
  Existence of Ground States in the Infrared-Critial Spin Boson Model
  RIMS Kôkyûroku 2235(5):60-72, 2022,
  Fumio Hiroshima: Proceedings of the 2021 RIMS Workshop 'Mathematical Aspects of Quantum Fields and Related Topics'
  
  LinkExterner Link arXiv:2204.00287Externer Link
• T.N. Dam, B. Hinrichs, 
  Absence of Ground States in the Renormalized Massless Translation-Invariant Nelson Model
  Rev. Math. Phys. 34(10):225033, 2022.
  doi:10.1142/S0129055X22500337Externer Link arXiv:1909.07661Externer Link
• D. Hasler, B. Hinrichs, O. Siebert
  FKN Formula and Ground State Energy for the Spin Boson Model with External Magnetic Field
  Ann. Henri Poincaré 23(8):2819-2853, 2022.
  doi:10.1007/s00023-022-01160-6Externer Link arXiv:2106.08659Externer Link
• D. Hasler, B. Hinrichs, O. Siebert
  Correlation Bound for a One-Dimensional Continuous Long-Range Ising Model
  Stoch. Process. Appl. 146:60-79, 2022.
  doi:10.1016/j.spa.2021.12.010Externer Link arXiv:2104.03013Externer Link
• D. Hasler, B. Hinrichs, O. Siebert
  On Existence of Ground States in the Spin Boson Model
  Commun. Math. Phys. 388(1):419-433, 2021.
  doi:10.1007/s00220-021-04185-w Externer LinkarXiv:2102.13373Externer Link
• D. Hasler, O. Siebert
  Thermal ionization for short-range potentials
  J. Stat. Phys. 182(1):17, 2021.
  doi:10.1007/s10955-020-02688-9Externer Link arXiv:2006.10874Externer Link
• D. Hasler, M. Lange
  Renormalization analysis for degenerate ground states
  J. Funct. Anal. 275(1):103-148, 2018.
  doi:10.1016/j.jfa.2018.03.005Externer Link arXiv:1704.06966Externer Link
• G. Bräunlich, D. Hasler, M. Lange
  On Asymptotic Expansions in Spin–Boson Models
  Ann. Henri Poincaré 19(2):515-462, 2018.
  doi:10.1007/s00023-017-0625-7Externer Link arXiv:1608.06270Externer Link
• G. Bräunlich, C. Hainzl, R. Seiringer
  Bogolubov–Hartree–Fock Theory for Strongly Interacting Fermions in the Low Density Limit
  Math. Phys. Anal. Geom. 19(2):13, 2016.
  doi:10.1007/s11040-016-9209-xExterner Link arXiv:1511.08047Externer Link
• D. Hasler, D. Luckett
  Optimal volume Wegner estimate for random magnetic Laplacians on Z²
  J. Math. Phys. 54(3):032105, 2013.
  doi:10.1063/1.4794082Externer Link