Publications of Hajo LESCHKE since 1995 http://theorie1.physik.uni-erlangen.de/leschke/publ2.html

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 in Journal of Physics A: Theoretical and Mathematical 49, 30LT04, 9pp (2016)
Corrigendum: 50, 129501, 1pp (2017)
See also: 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, slightly shortened, as Physical Review Letters 112, 160403, 5pp (2014)
See also: 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)
See also: arXiv:0906.4946 [math-ph]

H. Leschke, R. Ruder:
Three useful bounds in quantum mechanics - easily obtained by Wiener integration
pp. 63-70 in:
Path Integrals - New Trends and Perspectives,
Editors: W. Janke, A. Pelster
World Scientific, Singapore, 2008
For a slightly longer version see:
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)

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)

K. Broderix, H. Leschke, P. Müller:
Continuous integral kernels for unbounded Schrödinger semigroups and their spectral projections
Journal of Functional Analysis 212, 287-323 (2004)

H. Leschke, S. Warzel:
Quantum-classical transitions in Lifshitz tails with magnetic fields
Physical Review Letters 92, 086402: 1-4 (2004)
For a slightly longer version see: 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

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)

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)

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)

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)

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)

H. Fink, H. Leschke:
Is the universe a quantum system?
Foundations of Physics Letters 13, 345-356 (2000)

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
AMS/IP Studies in Advanced Mathematics 16, 233-247 (2000)

K. Broderix, D. Hundertmark, H. Leschke:
Continuity properties of Schrödinger semigroups with magnetic fields
Reviews in Mathematical Physics 12, 181-225 (2000)

T. Hupfer, H. Leschke, S. Warzel:
Poissonian obstacles with Gaussian walls discriminate between classical and quantum Lifshits tailing in magnetic fields
Journal of Statistical Physics 97, 725-750 (1999)

B. Bodmann, H. Leschke, S. Warzel:
A rigorous path integral for quantum spin using flat-space Wiener regularization
Journal of Mathematical Physics 40, 2549-2559 (1999)

B. Bodmann, H. Leschke, S. Warzel:
A rigorous path-integral formula for quantum spin dynamics via planar Brownian motion
pp. 173-176 in:
Path Integrals from peV to TeV: 50 Years after Feynman's Paper
Editors: R. Casalbuoni, R.Giachetti, V.Tognetti, R. Vaia, P.Verrucchi
World Scientific, Singapore, 1999

W. Fischer, H. Leschke, P. Müller:
On the averaged quantum dynamics by white-noise Hamiltonians with and without dissipation
Annalen der Physik (8th series) 7, 59-100 (1998)
Reprinted on pp. 79-121 in:
Understanding Physics
Editor: A. K. Richter
Copernicus, Katlenburg-Lindau, 1998

M. Böhm, K. Broderix, H. Leschke:
Broadening of the lowest Landau level by a Gaussian random potential with an arbitrary correlation length: an efficient continued-fraction approach
Zeitschrift für Physik B 104, 111-115 (1997)

W. Fischer, H. Leschke, P. Müller:
Comment on `On the Coulomb potential in one dimension' by P Kurasov
Journal of Physics A: Mathematical and General 30, 5579-5581 (1997)

W. Fischer, T. Hupfer, H. Leschke, P. Müller:
Existence of the density of states for multi-dimensional continuum Schrödinger operators with Gaussian random potentials
Communications in Mathematical Physics 190, 133-141 (1997)

W. Fischer, T. Hupfer, H. Leschke, P. Müller:
Rigorous results on Schrödinger operators with certain Gaussian random potentials in multi-dimensional continuous space
pp. 105-112 in:
Differential Equations, Asymptotic Analysis, and Mathematical Physics
Editors: M. Demuth, B.-W. Schulze
Akademie-Verlag, Berlin 1997

G. Junker, H. Karl, H. Leschke:
Classical and quantum dynamics of the n-dimensional kicked rotator
Physics Letters A 226, 155-166 (1997)

G. Junker, H. Leschke, I. Zan:
Explicit thermostatics of Stanley's n-vector model on the harmonic chain by Fourier analysis
Physica A 237, 257-284 (1997)

W. Fischer, H. Leschke, P. Müller:
Towards localisation by Gaussian random potentials in multi-dimensional continuous space
Letters in Mathematical Physics 38, 343-348 (1996)

B. Bodmann, H. Leschke, S. Warzel:
Wiener integration for quantum systems: A unified approach to the Feynman-Kac formula
pp. 95-106 in:
Path Integrals: Dubna '96
Editors: V.S. Yarunin, M.A. Smondyrev
Joint Institute for Nuclear Research, Dubna 1996

K. Broderix, D. Hundertmark, W. Kirsch, H. Leschke:
The fate of Lifshits tails in magnetic fields
Journal of Statistical Physics 80, 1-22 (1995)

W. Fischer, H. Leschke, P. Müller:
The functional-analytic versus the functional-integral approach to quantum Hamiltonians: The one-dimensional hydrogen atom
Journal of Mathematical Physics 36, 2313-2323 (1995)