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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 [ | '''Hajo Leschke''' (born 11 February 1945 in [https://en.wikipedia.org/wiki/Wentorf_bei_Hamburg Wentorf bei Hamburg]) is a German mathematical physicist and (semi-)retired professor of [[Physics:Theoretical_physics|theoretical physics]] at the Friedrich-Alexander-Universität Erlangen-Nürnberg ([[Organization:University_of_Erlangen–Nuremberg|FAU]]). He is probably best known for notable rigorous results on some model systems in quantum (statistical) mechanics obtained by functional-analytic and probabilistic techniques, jointly with his (former) students and other co-workers. 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 | [[File:HL.jpg|thumb|Hajo Leschke on 4 April 2023 at the FAU in Erlangen, [https://mathshistory.st-andrews.ac.uk/Biographies/Von_Staudt/ Staudt]straße]] | ||
=== Academic education === | === Academic education === | ||
Leschke studied physics and mathematics at the [ | Leschke studied physics and mathematics at the [[Organization:University_of_Hamburg|Universität Hamburg]] and graduated with a [[Social:Diploma|diploma]] in physics (1970). The underlying thesis was supervised by [https://en.wikipedia.org/wiki/Wolfgang_Kundt Wolfgang Kundt] (born 1931). He received his [[Social:Doctorate|doctorate]] in physics (1975) with dissertation supervisor [https://de.wikipedia.org/wiki/Uwe_Brandt_(Physiker) Uwe Brandt] (1944–1997) at the (Technische) [https://en.wikipedia.org/wiki/Technical_University_of_Dortmund Universität Dortmund], where he also earned the [[Social:Habilitation|habilitation]] in physics (1981). His studies were supported by the [https://en.wikipedia.org/wiki/Studienstiftung Studienstiftung] des deutschen Volkes (German Academic Scholarship Foundation) and by a [https://de.wikipedia.org/wiki/Kurt-Hartwig-Siemers-Wissenschaftspreis Kurt-Hartwig-Siemers–Wissenschaftspreis] on the recommendation of | ||
[[Biography:Werner_Döring|Werner Döring]] (1911-2006) and of [https://mathshistory.st-andrews.ac.uk/Biographies/Jordan_Pascual Pascual Jordan] (1902-1980), respectively. | |||
=== Professional experience === | === Professional experience === | ||
Leschke was a research (and teaching) assistant | Leschke was a research (and teaching) assistant to Ludwig Tewordt (1926–2016) at the Universität Hamburg, to Uwe Brandt at the Universität Dortmund, to [[Biography:Herbert_Wagner_(physicist)|Herbert Wagner]] (born 1935) at the [[Organization:Forschungszentrum_Jülich|Forschungszentrum Jülich]] (then: KFA Jülich), and to Richard Bausch (born 1935) at the (Heinrich-Heine–)Universität Düsseldorf ([[Organization:University_of_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 [[Physics: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's diploma and doctoral students Peter Müller (born 1967) and [ | Leschke's diploma and doctoral students Peter Müller (born 1967) and [[Biography:Simone_Warzel|Simone Warzel]] (born 1973) are professors of mathematics in München/Garching at the Ludwig-Maximilians–Universität (LMU) and the Technische Universität (TUM), respectively. Also his diploma students Dirk Hundertmark (born 1965) and Bernhard G. Bodmann (born 1972) are professors of mathematics at the Karlsruher Institut für Technologie (KIT) and the University of Houston Texas (UH), respectively. | ||
=== Selected publications since 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. | * 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. R. Soc.(London) A '''381''', 20210419, 5pp. (2023); DOI: [https://royalsocietypublishing.org/doi/10.1098/rsta.2021.0419 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); [https://journals.aps.org/prl/abstract/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); DOI: [https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.127.207204 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); [https://link.springer.com/ | * 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: [https://link.springer.com/article/10.1007/s10955-020-02689-8 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); [https://doi.org/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); DOI: [https://doi.org/10.1016/j.jfa.2017.04.005 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); [https://doi.org/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); DOI: [https://doi.org/10.1103/PhysRevLett.112.160403 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); [https://doi.org/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); DOI: [https://doi.org/10.1016/j.jfa.2004.01.009 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); [https://journals.aps.org/prl/abstract/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); DOI: [https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.92.086402 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); [https://link.springer.com/article/10.1007%2Fs002200100467 | * 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: [https://link.springer.com/article/10.1007%2Fs002200100467 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); [https://link.springer.com/article/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); DOI: [https://link.springer.com/article/10.1023/A:1026425621261 10.1023/A:1026425621261] | ||
* K. Broderix, D. Hundertmark, H. Leschke; Continuity properties of Schrödinger semigroups with magnetic fields | * K. Broderix, D. Hundertmark, H. Leschke; Continuity properties of Schrödinger semigroups with magnetic fields, Rev. Math. Phys. '''12''', 181–225 (2000); DOI: [https://www.worldscientific.com/doi/10.1142/S0129055X00000083 10.1142/S0129055X00000083] | ||
* 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 | * H. Fink, H. Leschke; Is the universe a quantum system?, Found. Phys. Lett. '''13''', 345–356 (2000); DOI: [https://link.springer.com/article/10.1023/A:1007819627255 10.1023/A:1007819627255] | ||
=== External links === | === 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 | * [https://www.mathgenealogy.org/id.php?id=80146 Hajo Leschke] at the Mathematics Genealogy Project ([[Mathematics_Genealogy_Project|MGP]]), supplementing his entry at the [[Physics:Academic_genealogy_of_theoretical_physicists|Academic genealogy of theoretical physicists]] via [[Biography:Arnold_Sommerfeld|Arnold Sommerfeld]] (1868-1951) and [[Biography:Walter_Franz|Walter Franz]] (1911-1992) | ||
{{DEFAULTSORT:Leschke, Hajo}} | {{DEFAULTSORT:Leschke, Hajo}} | ||
Latest revision as of 10:13, 1 November 2024
Hajo Leschke (born 11 February 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 notable rigorous results on some model systems in quantum (statistical) mechanics obtained by functional-analytic and probabilistic techniques, jointly with his (former) students and other co-workers. 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, Staudtstraße
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 dissertation 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 by a Kurt-Hartwig-Siemers–Wissenschaftspreis on the recommendation of Werner Döring (1911-2006) and of Pascual Jordan (1902-1980), respectively.
Professional experience
Leschke was a research (and teaching) assistant to Ludwig Tewordt (1926–2016) at the Universität Hamburg, to Uwe Brandt at the Universität Dortmund, to Herbert Wagner (born 1935) at the Forschungszentrum Jülich (then: KFA Jülich), and to 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 (LMU) and the Technische Universität (TUM), respectively. Also his diploma students Dirk Hundertmark (born 1965) and Bernhard G. Bodmann (born 1972) are professors of mathematics at the Karlsruher Institut für Technologie (KIT) and the University of Houston Texas (UH), 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. R. 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 Mathematics Genealogy Project (MGP), supplementing his entry at the Academic genealogy of theoretical physicists via Arnold Sommerfeld (1868-1951) and Walter Franz (1911-1992)
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