Jonathan K. Hartlaub

Jonathan K. Hartlaub

he / him

I am a PhD Candidate at the German Aerospace Center (DLR), specializing in long-range interacting classical and quantum systems

Computation of Generalized Zeta Functions With Applications to Long-Range Interacting Classical and Quantum Lattices

Venue
NumPDE Summer Retreat, ETH Zürich
Type
Workshop talk
Location
Disentis, Switzerland
Date

Here we provide a broad overview of methods and algorithms based on Epstein zeta functions and their generalizations, such as many-body zeta functions, how to include non-translationally invariant gemoetries and representations for its wave-vector derivatives. Their applications to the physics of long-range interacting matter is shown, in particular in micromagnetism and theoretical chemistry.

References

  1. Buchheit, A. A., Busse, J. K., Keßler, T., & Rybakov, F. N. (2026). Zeta Expansion for Long-Range Interactions under Periodic Boundary Conditions with Applications to Micromagnetics. Journal of Computational Physics.
  2. Buchheit, A. A., & Busse, J. K. (2026). Epstein zeta method for many-body lattice sums. Numerische Mathematik.
  3. Buchheit, A. A., Busse, J. K., & Gutendorf, R. (2026). Computation and properties of the Epstein zeta function with applications to quantum systems. IMA Journal of Numerical Analysis.
  4. Robles-Navarro, A., Cooper, S., Buchheit, A. A., Busse, J. K., Burrows, A., Smits, O., & Schwerdtfeger, P. (2025). Exact lattice summations for Lennard-Jones potentials coupled to a three-body Axilrod-Teller-Muto term applied to cuboidal phase transitions. Journal of Chemical Physics.