Reviews
75.
Badanin, A. V.; Korotyaev, E. L.:
A magnetic Schrödinger operator on a periodic graph
MathSciNet review MR2768822
MathSciNet review MR2768822
74.
Asch, Joachim; Meresse, Cédric:
A constant of quantum motion in two dimensions in crossed magnetic and electric fields
MathSciNet review MR2738097
MathSciNet review MR2738097
73.
Veselić, Ivan:
Wegner estimates for sign-changing single site potentials
MathSciNet review MR2738565
MathSciNet review MR2738565
72.
Raikov, Georgi D.:
Low energy asymptotics of the spectral shift function for Pauli operators with nonconstant magnetic fields
MathSciNet review MR2760738
MathSciNet review MR2760738
71.
de Oliveira, César R.; Pereira, Marciano:
Scattering and self-adjoint extensions of the Aharonov-Bohm Hamiltonian
MathSciNet review MR2673578
MathSciNet review MR2673578
70.
Abdalla, M. Sebawe; Elkasapy, A. I.:
Lie algebraic approach of a charged particle in presence of a constant magnetic field via the quadratic invariant
MathSciNet review MR2669232
MathSciNet review MR2669232
69.
Kang, Yang; Klein, Abel:
The Liouville equation for singular ergodic magnetic Schrödinger operators
MathSciNet review MR2647861
MathSciNet review MR2647861
68.
Amour, Laurent; Faupin, Jérémy; Grébert, Benoît; Guillot, Jean-Claude:
On the infrared problem for the dressed non-relativistic electron in a magnetic field
MathSciNet review MR2655139
MathSciNet review MR2655139
67.
Matte, Oliver; Stockmeyer, Edgardo:
Spectral theory of no-pair Hamiltonians
MathSciNet review MR2649211
MathSciNet review MR2649211
66.
Goffeng, Magnus:
Index formulas and charge deficiencies on the Landau levels
MathSciNet review MR2605059
MathSciNet review MR2605059
65.
Bräunlich, G.; Graf, G. M.; Ortelli, G.:
Equivalence of topological and scattering approaches to quantum pumping
MathSciNet review MR2585997
MathSciNet review MR2585997
64.
Prodan, Emil:
The edge spectrum of Chern insulators with rough boundaries
MathSciNet review MR2554445
MathSciNet review MR2554445
63.
Jakubassa-Amundsen, Doris H.:
The ground state of relativistic ions in the limit of high magnetic fields
MathSciNet review MR2557201
MathSciNet review MR2557201
62.
Klopp, Frédéric; Raikov, Georgi:
The fate of the Landau levels under perturbations of constant sign
MathSciNet review MR2564374
MathSciNet review MR2564374
61.
Matte, Oliver; Stockmeyer, Edgardo:
On the eigenfunctions of no-pair operators in classical magnetic fields
MathSciNet review MR2557028
MathSciNet review MR2557028
60.
Danilov, L. I.:
On absolute continuity of the spectrum of a periodic magnetic Schrödinger operator
MathSciNet review MR251212
MathSciNet review MR251212
59.
Serov, V. S.:
The fundamental solution and Fourier series in eigenfunctions of the magnetic Schrödinger operator
MathSciNet review MR251557
MathSciNet review MR251557
58.
Enblom, Andreas:
On the absolutely continuous spectrum of magnetic Schrödinger operators
MathSciNet review MR249324
MathSciNet review MR249324
57.
Khochman, Abdallah:
Resonances and spectral shift function for a magnetic Schrödinger operator
MathSciNet review MR251399
MathSciNet review MR251399
56.
de Oliveira, César R.; Pereira, Marciano:
Mathematical justification of the Aharonov-Bohm Hamiltonian
MathSciNet review MR246201
MathSciNet review MR246201
55.
Caprez, Adam; Batelaan, Herman:
Feynman's relativistic electrodynamics paradox and the Aharonov-Bohm effect
MathSciNet review MR2486545
MathSciNet review MR2486545
54.
Helffer, Bernard; Kordyukov, Yuri A.:
Spectral gaps for periodic Schrödinger operators with hypersurface magnetic wells
MathSciNet review MR2466683
MathSciNet review MR2466683
53.
Briet, Philippe; Raikov, Georgi:
The integrated density of states in strong magnetic fields
MathSciNet review MR2466675
MathSciNet review MR2466675
52.
Guo, Qin; Fan, Hong-Yi:
Husimi operator for describing probability distribution of electron states in uniform magnetic field studied by virtue of entangled state representation
MathSciNet review MR2456994
MathSciNet review MR2456994
51.
Hegerfeldt, G. C.; Neumann, J. T.:
The Aharonov-Bohm effect: the role of tunneling and associated forces
MathSciNet review MR2449583
MathSciNet review MR2449583
50.
Briet, Philippe; Raikov, Georgi; Soccorsi, Eric.:
Spectral properties of a magnetic quantum Hamiltonian on a strip
MathSciNet review MR2456460
MathSciNet review MR2456460
49.
Briet, Philippe.:
The integrated density of states for magnetic Schrödinger operators
MathSciNet review MR2452407
MathSciNet review MR2452407
48.
Dombrowski, N.; Germinet, F.:
Linear response theory for random Schrödinger operators and noncommutative integration
MathSciNet review MR2455017
MathSciNet review MR2455017
47.
Dolbeault, J.; Esteban, M.; Loss, M.:
Characterization of the critical magnetic field in the Dirac-Coulomb equation
MathSciNet review MR2453978
MathSciNet review MR2453978
46.
Cornean, H. D.; Nenciu, A.; Nenciu, G.:
Optimally localized Wannier functions for quasi one-dimensional nonperiodic insulators
MathSciNet review MR2450481
MathSciNet review MR2450481
45.
Skrzypczak, Leszek:
Wavelet frames, Sobolev embeddings and negative spectrum of Schrödinger operators on manifolds with bounded geometry
MathSciNet review MR2399107
MathSciNet review MR2399107
44.
Golénia, Sylvain; Moroianu, Sergiu:
Spectral analysis of magnetic Laplacians on conformally cusp manifolds
MathSciNet review MR2389893
MathSciNet review MR2389893
43.
Ivrii, Victor:
Magnetic Schrödinger operator: geometry, classical and quantum dynamics and spectral asymptotics
MathSciNet review MR2385203
MathSciNet review MR2385203
42.
Yafaev, Dimitri:
On spectral properties of translationally invariant magnetic Schrödinger operators
MathSciNet review MR2389894
MathSciNet review MR2389894
41.
Asch, J.; Šťovíček, P.:
On the dynamics created by a time-dependent Aharonov-Bohm flux
MathSciNet review MR2347789
MathSciNet review MR2347789
40.
Bruneau, Vincent; Dimassi, Mouez:
Weak asymptotics of the spectral shift function
MathSciNet review MR2337341
MathSciNet review MR2337341
39.
Eckstein, Andrei:
Unitary reduction for the two-dimensional Schrödinger operator with strong magnetic field
MathSciNet review MR2334681
MathSciNet review MR2334681
38.
Dolbeault, Jean; Esteban, Maria J.; Loss, Michael:
Relativistic hydrogenic atoms in strong magnetic fields
MathSciNet review MR2333781
MathSciNet review MR2333781
37.
Fournais, Søren:
Spectral confinement and current for atoms in strong magnetic fields
MathSciNet review MR2329308
MathSciNet review MR2329308
36.
Herbst, Ira:
Barry Simon's work on electric and magnetic fields and the semi-classical limit
MathSciNet review MR2310214
MathSciNet review MR2310214
35.
Erdős, László:
Recent developments in quantum mechanics with magnetic fields
MathSciNet review MR2310212
MathSciNet review MR2310212
34.
Amour, Laurent; Grébert, Benoît; Guillot, Jean-Claude:
The dressed nonrelativistic electron in a magnetic field
MathSciNet review MR2237709
MathSciNet review MR2237709
33.
Briet, Philippe; Raikov, Georgi:
The integrated density of states in strong magnetic fields
MathSciNet review MR2230349
MathSciNet review MR2230349
32.
Dodziuk, Jósef; Mathai, Varghese:
Kato's inequality and asymptotic spectral properties for discrete magnetic Laplacians
MathSciNet review MR2218014
MathSciNet review MR2218014
31.
Ožanová, Kateřina:
Approximation by point potentials in a magnetic field
MathSciNet review MR2212075
MathSciNet review MR2212075
30.
Buchendorfer, Christoph; Graf, Gian Michele:
Scattering of magnetic edge states
MathSciNet review MR2210234
MathSciNet review MR2210234
29.
Rozenblum, Grogori; Shirokov, Nikolai:
Infiniteness of zero modes for the Pauli operator with singular magnetic field
MathSciNet review MR2204677.
MathSciNet review MR2204677.
28.
Hansson, Anders M.:
On the spectrum and eigenfunctions of the Schrödinger operator with Aharonov-Bohm magnetic field
MathSciNet review MR2203769.
MathSciNet review MR2203769.
27.
Cornean, Horia D.; Nenciu, Gheorghe; Pedersen, Thomas G.:
The Faraday effect revisited: general theory
MathSciNet review MR2202529.
MathSciNet review MR2202529.
26.
Michel, Laurent:
Scattering Amplitude for the Schrödinger Equation with Strong Magnetic Field and Strong Electric Potential
MathSciNet review MR2189779.
MathSciNet review MR2189779.
25.
Helffer, Bernard:
Analysis of the bottom of the spectrum of Schrödinger operators with magnetic potentials and applications
MathSciNet review MR2185769.
MathSciNet review MR2185769.
24.
Ferrari, Christian; Kovařík, Hynek:
On the exponential decay of magnetic Stark resonances
MathSciNet review MR2176791.
MathSciNet review MR2176791.
23.
Melnichuk, O. P.; Popov, I. Yu.:
Dirichlet strips coupled through periodic system of narrow windows: variational proof of gap existence
MathSciNet review MR2151085.
MathSciNet review MR2151085.
22.
Persson, Mikael:
On the Aharonov-Casher formula for different self-adjoint extensions of the Pauli operator with singular magnetic field
MathSciNet review MR2147135.
MathSciNet review MR2147135.
21.
Asch, J.; Hradecký, I.; Šťovíček, P.:
Propagators weakly associated to a family of Hamiltonians and the adiabatic theorem for the Landau Hamiltonian with a time-dependent Aharonov-Bohm flux
MathSciNet review MR2143006.
MathSciNet review MR2143006.
20.
Borisov, Denis; Ekholm, Tomas; Kovařík, Hynek:
Spectrum of the magnetic Schrödinger operator in a waveguide with combined boundary conditions
MathSciNet review MR2136194.
MathSciNet review MR2136194.
19.
Ghanmi, Allal:
Euclidean limit of L2-spectral properties of the Pauli Hamiltonians on constant curvature surfaces
MathSciNet review MR2124372.
MathSciNet review MR2124372.
18.
Elton, Daniel M.:
The Bethe-Sommerfeld conjecture for the 3-dimensional periodic Landau operator
MathSciNet review MR2114599.
MathSciNet review MR2114599.
17.
Mesteel, B.D.; Osbaldestin, A.H.:
Golden mean renormalization for a generalized Harper equation: The Ketoja-Satija orchid
MathSciNet review MR2105234.
MathSciNet review MR2105234.
16.
Dimassi, Mouez; Guillot, Jean-Claude; Ralston, James:
On effective Hamiltonians for adiabatic perturbations of magnetic Schrödinger operators
MathSciNet review MR2104132.
MathSciNet review MR2104132.
15.
Melgaard, M.; Ouhabaz, E.-M.; Rozenblum, G.:
Negative discrete spectrum of perturbed multivortex Aharonov-Bohm Hamiltonian
MathSciNet review MR2091985.
MathSciNet review MR2091985.
14.
Hundertmark, Dirk; Simon, Barry:
A diamagnetic inequality for semigroup differences.
MathSciNet review MR2070145.
MathSciNet review MR2070145.
13.
Bruneau, V.; Pushnitski, A.; Raikov, G.:
Spectral shift function in strong magnetic fields
MathSciNet review MR2069004.
MathSciNet review MR2069004.
12.
Fernández, Claudio; Raikov, Georgi:
On the singularities of the magnetic spectral shift function at the Landau levels
MathSciNet review MR2057679.
MathSciNet review MR2057679.
11.
Oleinik, V.L.; Pavlov, B.S.; Sibirev, N.V.:
Analysis of the dispersion equation for the Schrödinger operator on periodic metric graphs.
MathSciNet review MR2051044.
MathSciNet review MR2051044.
10.
Krupa, Andrzej:
The density of states of a local almost periodic operator in Rn.
MathSciNet review MR2014300.
MathSciNet review MR2014300.
9.
Dimassi, Mouez; Raikov, Georgi D.:
Spectral asymptotics for quantum Hamiltonians in strong magnetic fields.
MathSciNet review MR1961594.
MathSciNet review MR1961594.
8.
Mathai, Varghese; Schick, Thomas; Yates, Stuart:
Approximating spectral invariants of Harper operators on graphs II.
MathSciNet review MR1955281.
MathSciNet review MR1955281.
7.
Erdős, László:
Spectral shift and multiplicity of the first eigenvalue of the magnetic Schrödinger operator in two dimensions.
MathSciNet review MR1954326.
MathSciNet review MR1954326.
6.
Erdős, László; Vougalter, Vitali:
Two dimensional Pauli operator via scalar potential.
MathSciNet review MR1946023.
MathSciNet review MR1946023.
5.
Pan, Xing-Bin; Kwek, Keng-Huat:
Schrödinger operators with non-degenerately vanishing magnetic fields in bounded domains.
MathSciNet review MR1926871.
MathSciNet review MR1926871.
4.
Erdős, László; Vougalter, Vitali:
Pauli operator and Aharonov-Casher theorem for measure valued magnetic fields.
MathSciNet review MR1889230.
MathSciNet review MR1889230.
3.
Mathai, Varghese; Yates, Stuart:
Approximating spectral invariants of Harper operators on graphs.
MathSciNet review MR1878633.
MathSciNet review MR1878633.
2.
Tamura, Hideo:
Norm resolvent convergence to magnetic Schrödinger operators with point interactions.
MathSciNet review MR1828454.
MathSciNet review MR1828454.
1.
Balinsky, A. A.; Evans, W. D.; Lewis, Roger T.:
Sobolev, Hardy and CLR inequalities associated with Pauli operators in R3.
MathSciNet review MR1820450.
MathSciNet review MR1820450.
© Institute of Mathematics · Michael J. Gruber · Last modification 2011-06-22 15:25:59 · gruber@math.tu-clausthal.de