Biography:Hajo Leschke

Hajo Leschke (born 1945 in Wentorf bei Hamburg) is a German mathematical physicist and (semi-)retired professor of theoretical physics at the Friedrich-Alexander-Universität Erlangen-Nürnberg (FAU). He is probably best known for some rigorous results on certain model systems in quantum (statistical) mechanics obtained by functional-analytic and probabilistic techniques, jointly with his students and other coworkers. His research topics include: Peierls Transition, Functional Formulations of Quantum and Stochastic Dynamics, Pekar–Fröhlich Polaron, Quantum Spin Chains, Feynman–Kac Formulas, (Random) Schrödinger Operators, Landau-Level Broadening, Lifschitz Tails, Anderson Localization, Fermionic Entanglement Entropies, Quantum Spin Glasses.

Hajo LESCHKE on 4 April 2023 at the FAU in Erlangen (photographed by R. Ruder)

Academic education

Leschke studied physics and mathematics at the Universität Hamburg and graduated with a diploma in physics (1970). The underlying thesis was supervised by Wolfgang Kundt (born 1931). He received his doctorate in physics (1975) with thesis supervisor Uwe Brandt (1944–1997) at the (Technische) Universität Dortmund, where he also earned the habilitation in physics (1981). His studies were supported by the Studienstiftung des deutschen Volkes (German Academic Scholarship Foundation) and a Kurt-Hartwig-Siemers–Wissenschaftspreis on the recommendation of Pascual Jordan (1902-1980).

Professional experience

Leschke was a research (and teaching) assistant with Ludwig Tewordt (1926–2016) at the Universität Hamburg, with Uwe Brandt at the Universität Dortmund, with Herbert Wagner (born 1935) at the KFA Jülich (now: Forschungszentrum Jülich), and with Richard Bausch (born 1935) at the (Heinrich-Heine–)Universität Düsseldorf (HHU) before he became a professor there in 1982 and at the FAU in 1983. From 1998 to 2011 Leschke belonged to the advisory board of the Annalen der Physik, then edited by Ulrich Eckern (born 1952) at the Universität Augsburg. It is one of the oldest scientific journals on physics.

In academia internationally esteemed former students

Leschke's diploma and doctoral students Peter Müller (born 1967) and Simone Warzel (born 1973) are professors of mathematics in München/Garching at the Ludwig-Maximilians–Universität and the Technische Universität, respectively. Also his diploma students Dirk Hundertmark (born 1965) and Bernhard G. Bodmann (born 1972) are professors at the Karlsruher Institut für Technologie (KIT) and the University of Houston Texas, respectively.

Selected publications after 2000

• B. K. Chakrabarti, H. Leschke, P. Ray, T. Shirai, S. Tanaka; Quantum annealing and computation: challenges and perspectives (Editors' introduction to the Theme Issue 2241), Phil. Trans. Roy Soc.(London) A 381, 20210419, 5pp. (2023); DOI 10.1098/rsta.2021.0419

• H. Leschke, C. Manai, R. Ruder, S. Warzel; Existence of replica-symmetry breaking in quantum glasses, Phys. Rev. Lett. 127, 207204, 6pp. (2021); DOI 10.1103/PhysRevLett.127.207204

• H. Leschke, S. Rothlauf, R. Ruder, W. Spitzer; The free energy of a quantum spin-glass model for weak disorder, J. Stat. Phys. 182, 55, 41pp. (2021); DOI 10.1007/s10955-020-02689-8

• H. Leschke, A.V. Sobolev, W. Spitzer; Trace formulas for Wiener-Hopf operators with applications to entropies of free fermionic equilibrium states, J. Funct. Anal. 273, 1049–1094 (2017); DOI 10.1016/j.jfa.2017.04.005

• H. Leschke, A.V. Sobolev, W. Spitzer; Scaling of Rényi entanglement entropies of the free Fermi-gas ground state: a rigorous proof, Phys. Rev. Lett. 112, 160403, 5pp. (2014); DOI 10.1103/PhysRevLett.112.160403

• K. Broderix, H. Leschke, P. Müller; Continuous integral kernels for unbounded Schrödinger semigroups and their spectral projections, J. Funct. Anal. 212, 287–323 (2004); DOI 10.1016/j.jfa.2004.01.009

• H. Leschke, S. Warzel; Quantum-classical transitions in Lifshitz tails with magnetic fields, Phys. Rev. Lett. 92, 086402, 4pp. (2004); DOI 10.1103/PhysRevLett.92.086402

• T. Hupfer, H. Leschke, P. Müller, S. Warzel; The absolute continuity of the integrated density of states for magnetic Schrödinger operators with certain unbounded random potentials, Commun. Math. Phys. 221, 229–254 (2001); DOI 10.1007/s002200100467

• W. Fischer, H. Leschke, P. Müller; Spectral localization by Gaussian random potentials in multi-dimensional continuous space, J. Stat. Phys. 101, 935–985 (2000); DOI 10.1023/A:1026425621261

• K. Broderix, D. Hundertmark, H. Leschke; Continuity properties of Schrödinger semigroups with magnetic fields; Rev. Math. Phys. 12, 181–225 (2000); DOI 10.1142/S0129055X00000083

• H. Fink, H. Leschke; Is the universe a quantum system?, Found. Phys. Lett. 13, 345–356 (2000); DOI 10.1023/A:1007819627255

External links

• Homepage at the FAU
• Hajo Leschke at the Mathematical Genealogy Project (MGP)
• Hajo Leschke at the Academic Genealogy of Theoretical Physics (HandWiki)