Research Topics
Our current research topics are:
- spectral analysis of quantum field theories
- effective and critical limits of many body systems
- path integral methods in quantum mechanics
- dynamical properties of quantum systems
Publications
Conferences
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.
Journal Articles
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).
Super-Gaussian decay of exponentials: A sufficient condition
B. Hinrichs, D.W. Janssen, J. Ziebell, Journal of Mathematical Analysis and Applications 528 (2023).
Absence of ground states in the renormalized massless translation-invariant Nelson model
T.N. Dam, B. Hinrichs, Reviews in Mathematical Physics 34 (2022).
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.
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.
On Existence of Ground States in the Spin Boson Model
D. Hasler, B. Hinrichs, O. Siebert, Communications in Mathematical Physics 388 (2021) 419–433.
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).
A Lower Bound on the Critical Momentum of an Impurity in a Bose-Einstein Condensate
B. Hinrichs, J. Lampart, ArXiv:2311.05361 (2023).
Feynman-Kac formula for fiber Hamiltonians in the relativistic Nelson model in two spatial dimensions
B. Hinrichs, O. Matte, ArXiv:2309.09005 (2023).
On Lieb-Robinson bounds for a class of continuum fermions
B. Hinrichs, M. Lemm, O. Siebert, ArXiv:2310.17736 (2023).
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.).
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