Publications of Hajo LESCHKE since 2000 |
http://theorie1.physik.uni-erlangen.de/leschke/publ2.html |

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)

Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences **381**, 20210419, 5 pp. (2023)

Open Online Access: DOI 10.1098/rsta.2021.0419 (since: 05 December 2022)

H. Leschke, A. V. Sobolev, W. Spitzer:
* Rényi entropies of the free Fermi gas in multi-dimensional space at high temperature*

Appeared in slightly different form on pp. 477–508 in:

Toeplitz Operators and Random Matrices – In Memory of Harold Widom

Editors: E. Basor, A. Böttcher, T. Erhardt, C. A. Tracy

Operator Theory: Advances and Applications vol. 289, Birkhäuser/Springer Nature, Cham, 2022.

Online Access: DOI 10.1007/978-3-031-13851-5_21 (since: 04 August 2022)

Preprint: arXiv:2201.11087 [math-ph]

H. Leschke, C. Manai, R. Ruder, S. Warzel:
*Existence of replica-symmetry breaking in quantum glasses*

Appeared in slightly different form as Physical Review Letters **127**, 207204, 6 pp. (2021)

Online Access: DOI 10.1103/PhysRevLett.127.207204 (since: 12 November 2021)

Preprint: arXiv:2106.00500 [cond-mat.dis-nn]

H. Leschke, S. Rothlauf, R. Ruder, W. Spitzer:
*The free energy of a quantum Sherrington-Kirkpatrick spin-glass model for weak disorder*

Appeared in slightly shortened form as Journal of Statistical Physics **182**, 55, 41 pp. (2021)

Open Online Access: DOI 10.1007/s10955-020-02689-8 (since: 06 March 2021)

Preprint: arXiv:1912.06633 [math-ph]

H. Leschke, A. V. Sobolev, W. Spitzer:
*Asymptotic growth of the local ground-state entropy of the ideal Fermi gas in a constant magnetic field*

Communications in Mathematical Physics **381**, 673–705 (2021)

Open Online Access: DOI 10.1007/s00220-020-03907-w (since: 21 December 2020)

Preprint: arXiv:2007.06316 [math-ph]

H. Leschke, A. V. Sobolev, W. Spitzer:
*Trace formulas for Wiener-Hopf operators with applications to entropies of free fermionic equilibrium states*

Journal of Functional Analysis **273**, 1049–1094 (2017)

Open Online Access: DOI 10.1016/j.jfa.2017.04.005 (since: 24 May 2017)

Preprint: arXiv:1605.04429 [math.SP]

H. Leschke, A. V. Sobolev, W. Spitzer:
*Large-scale behaviour of local and entanglement entropy of the free Fermi gas at any temperature*

Appeared in slightly different form as Journal of Physics A: Theoretical and Mathematical **49**, 30LT04, 9 pp. (2016)

Corrigendum: **50**, 129501, 1 p. (2017)

Online Access: DOI 10.1088/1751-8113/49/30/30LT04 (since: 16 June 2016)

Preprint: arXiv:1501.03412 [quant-ph]

H. Leschke, A. V. Sobolev, W. Spitzer:
*Scaling of Rényi entanglement entropies of the free Fermi-gas ground state: a rigorous proof *

Appeared in slightly shortened form as Physical Review Letters **112**, 160403, 5 pp. (2014)

Online Access: DOI 10.1103/PhysRevLett.112.160403 (since: 23 April 2014)

Preprint: arXiv:1312.6828 [math-ph]

R. Helling, H. Leschke, W. Spitzer:
*A special case of a conjecture by Widom with implications to fermionic entanglement entropy*

International Mathematics Research Notices **2011**, 1451–1482 (2011)

Online Access: DOI 10.1093/imrn/rnq085 (since: 21 June 2010)

Preprint: arXiv:0906.4946 [math-ph]

H. Leschke, R. Ruder:
*Three useful bounds in quantum mechanics - easily obtained by Wiener integration*

Appeared in slightly shortened form on pp. 63–70 in:

Path Integrals – New Trends and Perspectives,

Editors: W. Janke, A. Pelster

World Scientific, Singapore, 2008

Online Access: DOI 10.1142/9789812837271_0008 (since: November 2008)

Preprint: arXiv:0810.2495 [quant-ph]

H. Leschke, S. Warzel, A. Weichlein:
*Energetic and dynamic properties of a quantum particle in a spatially random magnetic field with constant correlations along one direction*

Annales Henri Poincaré **7**, 335-363 (2006)

Online Access: DOI 10.1007/s00023-005-0251-7 (since: 14 February 2006)

Preprint: arXiv:math-ph/0507035

H. Leschke, S. Warzel, A. Weichlein:
*Ballistic transport in random magnetic fields with anisotropic long-ranged correlations*

Journal of Physics A: Mathematical and General **38**, L235–L240 (2005)

Online Access: DOI 10.1088/0305-4470/38/14/L05 (since: 21 March 2005)

Preprint: arxiv:cond-mat/0503154

K. Broderix, H. Leschke, P. Müller:
*Continuous integral kernels for unbounded Schrödinger semigroups and their spectral projections*

Appeared in slightly different form as Journal of Functional Analysis **212**, 287–323 (2004)

Open Online Access: DOI 10.1016/j.jfa.2004.01.009

Preprint: arXiv:math-ph/0209020

H. Leschke, S. Warzel:
*Quantum-classical transitions in Lifshitz tails with magnetic fields*

Appeared in a slightly shortened form as Physical Review Letters **92**, 086402, 4 pp. (2004)

Online Access: DOI:10.1103/PhysRevLett.92.086402 (since: 24 February 2004)

Preprint: arXiv:cond-mat/0310389

H. Leschke, P. Müller, S. Warzel:
*A survey of rigorous results on random Schrödinger operators for amorphous solids*

Markov Processes and Related Fields **9**, 729–760 (2003)

A slightly longer and updated version appeared on pp. 119–151 in:

Interacting Stochastic Systems

Editors: J.-D. Deuschel, A. Greven

Springer, Berlin, 2005

Online Access: DOI 10.1007/3-540-27110-4_7

Preprint: arxiv:cond-mat/0210708

H. Leschke, R. Ruder, S. Warzel:
*Simple diamagnetic monotonicities for Schrödinger operators with inhomogeneous magnetic fields of constant direction*

Journal of Physics A: Mathematical and General **35**, 5701–5709 (2002)

Online Access: DOI 10.1088/0305-4470/35/27/311 (since: 28 June 2002)

Preprint: arXiv:quant-ph/0204042

T. Hupfer, H. Leschke, P. Müller, S. Warzel:
*Existence and uniqueness of the integrated density of states for Schrödinger operators with magnetic fields and unbounded random potentials*

Reviews in Mathematical Physics **13**, 1547–1581 (2001)

Online Access: DOI 10.1142/S0129055X01001083

Preprint: arXiv:math-ph/0010013

T. Hupfer, H. Leschke, S. Warzel:
*Upper bounds on the density of states of single Landau levels broadened by Gaussian random potentials*

Journal of Mathematical Physics **42**, 5626–5641 (2001)

Online Access: DOI 10.1063/1.1401138 (since: 16 November 2001)

Preprint: arXiv:math-ph/0011010

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
*

Communications in Mathematical Physics **221**, 229–254 (2001)

Online Access: DOI 10.1007/s002200100467 (since: July 2001)

Preprint: arXiv:math-ph/0105046

W. Fischer, H. Leschke, P. Müller:
*Spectral localization by Gaussian random potentials in multi-dimensional continuous
space*

Journal of Statistical Physics **101**, 935–985 (2000)

Online Access: DOI 10.1023/A:1026425621261 (since: December 2000)

Preprint: arXiv:math-ph/9912025

H. Fink, H. Leschke:
*Is the universe a quantum system?*

Foundations of Physics Letters **13**, 345–356 (2000)

Online Access: DOI 10.1023/A:1007819627255 (since: 01 August 2000)

Preprint: arXiv:quant-ph/0005095

T. Hupfer, H. Leschke, S. Warzel:
*The multiformity of Lifshits tails
caused by random Landau Hamiltonians with repulsive impurity potentials of different decay at infinity*

pp. 233–247 in:

Differential Equations and Mathematical Physics

Editors: R. Weikard, G. Weinstein

AMS/IP Studies in Advanced Mathematics vol. 16

AMS/IP (of Boston), Providence RI/Somerville MA, 2000

Online Access: DOI 10.1090/amsip/016

Preprint: arXiv:math-ph/9910034

K. Broderix, D. Hundertmark, H. Leschke:
*Continuity
properties of Schrödinger semigroups with magnetic fields*

Reviews in Mathematical Physics **12**, 181–225 (2000)

Online Access: DOI 10.1142/S0129055X00000083

Preprint: arXiv:math-ph/9808004