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'''Hajo Leschke''' (born 1945 in [https://en.wikipedia.org/wiki/Wentorf_bei_Hamburg Wentorf bei Hamburg]) is a German mathematical physicist and (semi-)retired professor of [https://handwiki.org/wiki/Physics:Theoretical_physics theoretical physics] at the Friedrich-Alexander-Universität Erlangen-Nürnberg ([https://en.wikipedia.org/wiki/University_of_Erlangen–Nuremberg 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''' (born 1945 in [https://en.wikipedia.org/wiki/Wentorf_bei_Hamburg Wentorf bei Hamburg]) is a German mathematical physicist and (semi-)retired professor of [https://handwiki.org/wiki/Physics:Theoretical_physics theoretical physics] at the Friedrich-Alexander-Universität Erlangen-Nürnberg ([https://en.wikipedia.org/wiki/University_of_Erlangen–Nuremberg 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.  
[[File:HL.jpg|thumb|Hajo LESCHKE on 4 April 2023 at the FAU in Erlangen (photographed by R. Ruder)]]


=== Academic education ===
=== Academic education ===
Line 5: Line 6:


=== Professional experience ===
=== 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 [https://en.wikipedia.org/wiki/Herbert_Wagner_(physicist) Herbert Wagner] (born 1935) at the KFA Jülich (now: [https://en.wikipedia.org/wiki/Forschungszentrum_J%C3%BClich Forschungszentrum Jülich]), and with Richard Bausch (born 1935) at the (Heinrich-Heine-)–Universität Düsseldorf ([https://en.wikipedia.org/wiki/Heinrich_Heine_University_D%C3%BCsseldorf 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 [https://en.wikipedia.org/wiki/Annalen_der_Physik Annalen der Physik], then edited by Ulrich Eckern (born 1952) at the Universität Augsburg. It is one of the oldest scientific journals on physics.
Leschke was a research (and teaching) assistant with Ludwig Tewordt (1926–2016) at the Universität Hamburg, with Uwe Brandt at the Universität Dortmund, with [https://en.wikipedia.org/wiki/Herbert_Wagner_(physicist) Herbert Wagner] (born 1935) at the KFA Jülich (now: [https://en.wikipedia.org/wiki/Forschungszentrum_J%C3%BClich Forschungszentrum Jülich]), and with Richard Bausch (born 1935) at the (Heinrich-Heine–)Universität Düsseldorf ([https://en.wikipedia.org/wiki/Heinrich_Heine_University_D%C3%BCsseldorf 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 [https://en.wikipedia.org/wiki/Annalen_der_Physik 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 ===
=== In academia internationally esteemed former students ===
Leschke diploma and doctoral students Peter Müller (born 1967) and [https://en.wikipedia.org/wiki/Simone_Warzel 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.
Leschke's diploma and doctoral students Peter Müller (born 1967) and [https://en.wikipedia.org/wiki/Simone_Warzel 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 ===
=== Selected publications since 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  
* 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); [https://royalsocietypublishing.org/doi/10.1098/rsta.2021.0419 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, C. Manai, R. Ruder, S. Warzel; Existence of replica-symmetry breaking in quantum glasses, Phys. Rev. Lett. '''127''', 207204, 6pp. (2021); [https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.127.207204 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, 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); [https://link.springer.com/content/pdf/10.1007/s10955-020-02689-8.pdf 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; Trace formulas for Wiener-Hopf operators with applications to entropies of free fermionic equilibrium states, J. Funct. Anal. '''273''', 1049–1094 (2017); [https://doi.org/10.1016/j.jfa.2017.04.005 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  
* 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); [https://doi.org/10.1103/PhysRevLett.112.160403 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  
* K. Broderix, H. Leschke, P. Müller; Continuous integral kernels for unbounded Schrödinger semigroups and their spectral projections, J. Funct. Anal. '''212''', 287–323 (2004); [https://doi.org/10.1016/j.jfa.2004.01.009 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  
* H. Leschke, S. Warzel; Quantum-classical transitions in Lifshitz tails with magnetic fields, Phys. Rev. Lett. '''92''', 086402, 4pp. (2004); [https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.92.086402 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  
* 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); [https://link.springer.com/article/10.1007%2Fs002200100467 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
* W. Fischer, H. Leschke, P. Müller; Spectral localization by Gaussian random potentials in multi-dimensional continuous space, J. Stat. Phys. '''101''', 935–985 (2000); [https://link.springer.com/article/10.1023/A:1026425621261 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
* K. Broderix, D. Hundertmark, H. Leschke; Continuity properties of Schrödinger semigroups with magnetic fields; Rev. Math. Phys. '''12''', 181–225 (2000); [https://www.worldscientific.com/doi/10.1142/S0129055X00000083 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  
* H. Fink, H. Leschke; Is the universe a quantum system?, Found. Phys. Lett. '''13''', 345–356 (2000); [https://link.springer.com/article/10.1023/A:1007819627255 DOI 10.1023/A:1007819627255]


=== References ===
=== External links ===
[https://theorie1.physik.uni-erlangen.de/people/leschke/leschke.html Homepage] at the FAU
* [https://theorie1.physik.uni-erlangen.de/people/leschke/leschke.html Homepage] at the FAU
[https://www.mathgenealogy.org/id.php?id=80146 Hajo Leschke] at the Mathematical Genealogy Project (MGP)
* [https://www.mathgenealogy.org/id.php?id=80146 Hajo Leschke] at the Mathematical Genealogy Project (MGP)
[https://handwiki.org/wiki/Physics:Academic_genealogy_of_theoretical_physicists Hajo Leschke] at the Academic Genealogy of Theoretical Physics (HandWiki)
* [https://handwiki.org/wiki/Physics:Academic_genealogy_of_theoretical_physicists Hajo Leschke] at the Academic Genealogy of Theoretical Physics (HandWiki)




{{DEFAULTSORT:Leschke, Hajo}}
[[Category:Mathematical physicists]]
[[Category:German physicists]]


{{DEFAULTSORT:Leschke, Hajo}}
[[Category:Theoretical physicists]]


{{Sourceattribution|Hajo Leschke|1}}
{{Sourceattribution|Hajo Leschke|1}}

Latest revision as of 09:38, 24 July 2024

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 since 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

External links




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