Papers
published
-
L^p-approximation of the integrated density of states for Schrödinger operators with finite local complexity
(with D. Lenz, I. Veselić)
Available as e-print arXiv:1004.3471, TU Clausthal Mathematical Report 2010/3.
Integral Equations Operator Theory 69.2 (2011), 217-232. -
Uniform existence of the integrated density of states for combinatorial and metric graphs over Z^d
(with D. Lenz, I. Veselić)
Available as e-print arXiv:0712.1740, Isaac Newton Institute preprint NI08009-AGA.
In "Analysis on Graphs and its Applications" (ed. P.Exner et al.), Proc. Symp. Pure Math. vol. 77 (2008), 87-108. -
Optimal Wegner estimates for random Schrödinger operators on metric graphs
(with M. Helm, I. Veselić)
Available as e-print arXiv:0711.1953, Isaac Newton Institute preprint NI08007-AGA.
In "Analysis on Graphs and its Applications" (ed. P.Exner et al.), Proc. Symp. Pure Math. vol. 77 (2008), 409-422. -
Periodic and Random Spectral Problems on Discrete and Continuous Structures
Available as Habilitation thesis.
Universität Augsburg (2008). -
The modulus of continuity of Wegner estimates for random Schrödinger operators on metric graphs
(with I. Veselić)
Available as e-print arXiv:0707.1486, Isaac Newton Institute preprint NI07056-AGA.
Random Oper. Stoch. Equ. 16.1 (2008), 1-10. -
Uniform existence of the integrated density of states for random Schrödinger operators on metric graphs over Z^d
(with D. Lenz, I. Veselić)
Available as e-print arXiv:math.SP/0612743, Isaac Newton Institute preprint NI07020-AGA.
J. Funct. Anal. 253.2 (2007), 515-533. - Spontaneous edge currents for the Dirac equation in two space dimensions
(with M. Leitner)
Available as e-print arXiv:math-ph/0409021.
Lett. Math. Phys. 75.1 (2006), 25-37. - Effective descriptions of complex quantum systems: path integrals and operator ordering problems
(with U. Eckern, P. Schwab)
Available as e-print arXiv:cond-mat/0503369.
Ann. Phys. (Leipzig) 14.9-10 (2005), 578-590.
MathSciNet review MR2168820.
Zentralblatt review Zbl 1072.82515. - Positive measure spectrum for Schrödinger operators with periodic magnetic fields
Available as e-print arXiv:math-ph/0209039.
J. Math. Phys. 44.4 (2003), 1584-1599.
MathSciNet review MR1963090.
Zentralblatt review Zbl 1062.81044. - Measures of Fermi Surfaces and Absence of Singular Continuous Spectrum for Magnetic Schrödinger Operators
Available as e-print arXiv:math-ph/9908026, SFB 288 preprint 421.
Math. Nachr. 233-234 (2002), 111-127.
MathSciNet review MR1879867.
Zentralblatt review Zbl 0996.58009. - Non-commutative Bloch theory
Available as e-print arXiv:math-ph/0006021.
J. Math. Phys. 42.6 (2001), 2438-2465.
MathSciNet review MR1821870.
Zentralblatt review Zbl 01711349. - Singular Asymptotics Lemma and Push-Forward Theorem
(with D. Grieser)
Available as e-print arXiv:math.DG/0009161.
In J.B. Gil, D. Grieser, M. Lesch (eds.), Approaches to Singular Analysis, Birkhaeuser Verlag (2001), Basel.
MathSciNet review MR1827172.
Zentralblatt review Zbl 0985.35119. -
Bloch Theory and Quantization of Magnetic Systems
Available as e-print arXiv:math-ph/9903048, SFB 288 preprint 375.
J. Geom. Phys. 34.2 (2000), 137-154.
MathSciNet review MR1754535.
Zentralblatt review Zbl 01491094. -
Non-commutative Bloch Theory: An Overview
Available as e-print arXiv:math-ph/9901011.
In M. Schlichenmaier, A. Strasburger, S. T. Ali and A. Odzijewicz (eds.), Coherent States, Quantization and Gravity, Wydawnictwa Uniwersytetu Warszawskiego (2001), Warszawa. -
Nichtkommutative Blochtheorie
Available as Dissertation.
Humboldt-Universität zu Berlin (1998). -
Das Spektrum des Schrödinger-Operators mit periodischem Magnetfeld und elektrischem Potential. Mathematische und physikalische Aspekte
Available as Diploma thesis.
Universität Augsburg (1994).
© Institute of Mathematics · Michael J. Gruber · Last modification 2011-01-24 10:44:54 · gruber@math.tu-clausthal.de