For­schungs­the­men

Unsere aktuellen Forschungsschwerpunkte sind:

  • Spektraltheorie von Quantenfeldtheorien
  • Effektive und kritische Grenzwerte von Vielteilchensystemen
  • Pfadintegralmethoden in der Quantenmechanik
  • Dynamische Eigenschaften von Quantensystemen

Pu­bli­ka­ti­o­nen

Konferenzbeiträge

Existence of Ground States in the Infrared-Critial Spin Boson Model

B. Hinrichs, in: F. Hiroshima (Ed.), Mathematical Aspects of Quantum Fields and Related Topics, 2022, pp. 60–73.

arXiv

Zeitschriftenaufsätze

Non-Fock ground states in the translation-invariant Nelson model revisited non-perturbatively

D. Hasler, B. Hinrichs, O. Siebert, Journal of Functional Analysis 286 (2024).

DOI arXiv

Super-Gaussian decay of exponentials: A sufficient condition

B. Hinrichs, D.W. Janssen, J. Ziebell, Journal of Mathematical Analysis and Applications 528 (2023).

DOI arXiv

Absence of ground states in the renormalized massless translation-invariant Nelson model

T.N. Dam, B. Hinrichs, Reviews in Mathematical Physics 34 (2022).

DOI arXiv

FKN Formula and Ground State Energy for the Spin Boson Model with External Magnetic Field

D. Hasler, B. Hinrichs, O. Siebert, Annales Henri Poincaré 23 (2022) 2819–2853.

DOI arXiv

Correlation bound for a one-dimensional continuous long-range Ising model

D. Hasler, B. Hinrichs, O. Siebert, Stochastic Processes and Their Applications 146 (2021) 60–79.

DOI arXiv

On Existence of Ground States in the Spin Boson Model

D. Hasler, B. Hinrichs, O. Siebert, Communications in Mathematical Physics 388 (2021) 419–433.

DOI arXiv

Preprint

Feynman-Kac formulas for semigroups generated by multi-polaron Hamiltonians in magnetic fields and on general domains

B. Hinrichs, O. Matte, ArXiv:2403.12147 (2024).

arXiv

A Lower Bound on the Critical Momentum of an Impurity in a Bose-Einstein Condensate

B. Hinrichs, J. Lampart, ArXiv:2311.05361 (2023).

arXiv

Feynman-Kac formula for fiber Hamiltonians in the relativistic Nelson model in two spatial dimensions

B. Hinrichs, O. Matte, ArXiv:2309.09005 (2023).

arXiv

On Lieb-Robinson bounds for a class of continuum fermions

B. Hinrichs, M. Lemm, O. Siebert, ArXiv:2310.17736 (2023).

arXiv

Feynman-Kac formula and asymptotic behavior of the minimal energy for the relativistic Nelson model in two spatial dimensions

B. Hinrichs, O. Matte, (n.d.).

arXiv

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Mathematische Physik komplexer Quantensysteme

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