87 citations · 401 across the 33 of their papers we have counts for
33 papers
The Quantum Formalism Revisited
Hajo Leschke
For the simple system of a point-like particle confined to a straight line, I compile, initially in a concise table, the structural elements of quantum mechanics and contrast them…
Rényi entropies of the free Fermi gas in multi-dimensional space at high temperature
Hajo Leschke, Alexander V. Sobolev, Wolfgang Spitzer
We study the local and (bipartite) entanglement Rényi entropies of the free Fermi gas in multi-dimensional Euclidean space in thermal equilibrium. We prove positivit…
Existence of replica-symmetry breaking in quantum glasses
Hajo Leschke, Chokri Manai, Rainer Ruder +1
By controlling quantum fluctuations via the Falk-Bruch inequality we give the first rigorous argument for the existence of a spin-glass phase in the quantum Sherrington-Kirkpatrick…
Asymptotic growth of the local ground-state entropy of the ideal Fermi gas in a constant magnetic field
Hajo Leschke, Alexander V. Sobolev, Wolfgang Spitzer
We consider the ideal Fermi gas of indistinguishable particles without spin but with electric charge, confined to a Euclidean plane perpendicular to an external const…
The free energy of a quantum Sherrington-Kirkpatrick spin-glass model for weak disorder
Hajo Leschke, Sebastian Rothlauf, Rainer Ruder +1
We extend two rigorous results of Aizenman, Lebowitz, and Ruelle in their pioneering paper of 1987 on the Sherrington-Kirkpatrick spin-glass model without external magnetic field t…
Trace formulas for Wiener--Hopf operators with applications to entropies of free fermionic equilibrium states
Hajo Leschke, Alexander V. Sobolev, Wolfgang Spitzer
We consider non-smooth functions of (truncated) Wiener--Hopf type operators on the Hilbert space . Our main results are uniform estimates for trace norms ($d\ge 1…