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Reviews
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Fefferman, Charles L.; Lee-Thorp, James P.; Weinstein, Michael I.:
Honeycomb Schrödinger operators in the strong binding regime
MathSciNet review MR3794531
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Güneysu, Batu:
Covariant Schrödinger semigroups on Riemannian manifolds
MathSciNet review MR3751359
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El Aidi, Mohammed:
On a unique continuation for Aharonov-Bohm magnetic Schrodinger equation
MathSciNet review MR3719305
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Morita, Tsutomu:
Non-existence of zero resonances of Pauli operators
MathSciNet review MR2918144
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Golénia, Sylvain:
On the instability of eigenvalues
MathSciNet review MR2808413
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Nenciu, Gheorghe; Nenciu, Irina:
On essential self-adjointness for magnetic Schrödinger and Pauli operators on the unit disc in R2
MathSciNet review MR2845771
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Prado, Roberto A.; de Oliveira, César R.:
Sparse 1D discrete Dirac operators I: quantum transport
MathSciNet review MR2834902
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Balantsev, I. A.; Popov, Yu. V.; Studenikin, A. I.:
On the problem of relativistic particles motion in a strong magnetic field and dense matter
MathSciNet review MR2800874
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Liu, Dan:
Hausdorff measure of critical sets of solutions to magnetic Schrödinger equations
MathSciNet review MR2782802
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Saitō, Yoshimi; Umeda, Tomio:
Eigenfunctions at the threshold energies of magnetic Dirac operators
MathSciNet review MR2786225
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Mochizuki, Kiyoshi:
Uniform resolvent estimates for magnetic Schrödinger operators and smoothing effects for related evolution equations
MathSciNet review MR2791005
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Badanin, A. V.; Korotyaev, E. L.:
A magnetic Schrödinger operator on a periodic graph
MathSciNet review MR2768822
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Asch, Joachim; Meresse, Cédric:
A constant of quantum motion in two dimensions in crossed magnetic and electric fields
MathSciNet review MR2738097
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Veselić, Ivan:
Wegner estimates for sign-changing single site potentials
MathSciNet review MR2738565
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Raikov, Georgi D.:
Low energy asymptotics of the spectral shift function for Pauli operators with nonconstant magnetic fields
MathSciNet review MR2760738
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de Oliveira, César R.; Pereira, Marciano:
Scattering and self-adjoint extensions of the Aharonov-Bohm Hamiltonian
MathSciNet review MR2673578
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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
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Kang, Yang; Klein, Abel:
The Liouville equation for singular ergodic magnetic Schrödinger operators
MathSciNet review MR2647861
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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
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Matte, Oliver; Stockmeyer, Edgardo:
Spectral theory of no-pair Hamiltonians
MathSciNet review MR2649211
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Goffeng, Magnus:
Index formulas and charge deficiencies on the Landau levels
MathSciNet review MR2605059
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Bräunlich, G.; Graf, G. M.; Ortelli, G.:
Equivalence of topological and scattering approaches to quantum pumping
MathSciNet review MR2585997
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Prodan, Emil:
The edge spectrum of Chern insulators with rough boundaries
MathSciNet review MR2554445
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Jakubassa-Amundsen, Doris H.:
The ground state of relativistic ions in the limit of high magnetic fields
MathSciNet review MR2557201
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Klopp, Frédéric; Raikov, Georgi:
The fate of the Landau levels under perturbations of constant sign
MathSciNet review MR2564374
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Matte, Oliver; Stockmeyer, Edgardo:
On the eigenfunctions of no-pair operators in classical magnetic fields
MathSciNet review MR2557028
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Danilov, L. I.:
On absolute continuity of the spectrum of a periodic magnetic Schrödinger operator
MathSciNet review MR251212
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Serov, V. S.:
The fundamental solution and Fourier series in eigenfunctions of the magnetic Schrödinger operator
MathSciNet review MR251557
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Enblom, Andreas:
On the absolutely continuous spectrum of magnetic Schrödinger operators
MathSciNet review MR249324
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Khochman, Abdallah:
Resonances and spectral shift function for a magnetic Schrödinger operator
MathSciNet review MR251399
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de Oliveira, César R.; Pereira, Marciano:
Mathematical justification of the Aharonov-Bohm Hamiltonian
MathSciNet review MR246201
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Caprez, Adam; Batelaan, Herman:
Feynman's relativistic electrodynamics paradox and the Aharonov-Bohm effect
MathSciNet review MR2486545
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Helffer, Bernard; Kordyukov, Yuri A.:
Spectral gaps for periodic Schrödinger operators with hypersurface magnetic wells
MathSciNet review MR2466683
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Briet, Philippe; Raikov, Georgi:
The integrated density of states in strong magnetic fields
MathSciNet review MR2466675
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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
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Hegerfeldt, G. C.; Neumann, J. T.:
The Aharonov-Bohm effect: the role of tunneling and associated forces
MathSciNet review MR2449583
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Briet, Philippe; Raikov, Georgi; Soccorsi, Eric.:
Spectral properties of a magnetic quantum Hamiltonian on a strip
MathSciNet review MR2456460
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Briet, Philippe.:
The integrated density of states for magnetic Schrödinger operators
MathSciNet review MR2452407
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Dombrowski, N.; Germinet, F.:
Linear response theory for random Schrödinger operators and noncommutative integration
MathSciNet review MR2455017
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Dolbeault, J.; Esteban, M.; Loss, M.:
Characterization of the critical magnetic field in the Dirac-Coulomb equation
MathSciNet review MR2453978
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Cornean, H. D.; Nenciu, A.; Nenciu, G.:
Optimally localized Wannier functions for quasi one-dimensional nonperiodic insulators
MathSciNet review MR2450481
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Skrzypczak, Leszek:
Wavelet frames, Sobolev embeddings and negative spectrum of Schrödinger operators on manifolds with bounded geometry
MathSciNet review MR2399107
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Golénia, Sylvain; Moroianu, Sergiu:
Spectral analysis of magnetic Laplacians on conformally cusp manifolds
MathSciNet review MR2389893
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Ivrii, Victor:
Magnetic Schrödinger operator: geometry, classical and quantum dynamics and spectral asymptotics
MathSciNet review MR2385203
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Yafaev, Dimitri:
On spectral properties of translationally invariant magnetic Schrödinger operators
MathSciNet review MR2389894
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Asch, J.; Šťovíček, P.:
On the dynamics created by a time-dependent Aharonov-Bohm flux
MathSciNet review MR2347789
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Bruneau, Vincent; Dimassi, Mouez:
Weak asymptotics of the spectral shift function
MathSciNet review MR2337341
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Eckstein, Andrei:
Unitary reduction for the two-dimensional Schrödinger operator with strong magnetic field
MathSciNet review MR2334681
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Dolbeault, Jean; Esteban, Maria J.; Loss, Michael:
Relativistic hydrogenic atoms in strong magnetic fields
MathSciNet review MR2333781
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Fournais, Søren:
Spectral confinement and current for atoms in strong magnetic fields
MathSciNet review MR2329308
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Herbst, Ira:
Barry Simon's work on electric and magnetic fields and the semi-classical limit
MathSciNet review MR2310214
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Erdős, László:
Recent developments in quantum mechanics with magnetic fields
MathSciNet review MR2310212
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Amour, Laurent; Grébert, Benoît; Guillot, Jean-Claude:
The dressed nonrelativistic electron in a magnetic field
MathSciNet review MR2237709
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Briet, Philippe; Raikov, Georgi:
The integrated density of states in strong magnetic fields
MathSciNet review MR2230349
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Dodziuk, Jósef; Mathai, Varghese:
Kato's inequality and asymptotic spectral properties for discrete magnetic Laplacians
MathSciNet review MR2218014
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Ožanová, Kateřina:
Approximation by point potentials in a magnetic field
MathSciNet review MR2212075
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Buchendorfer, Christoph; Graf, Gian Michele:
Scattering of magnetic edge states
MathSciNet review MR2210234
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Rozenblum, Grogori; Shirokov, Nikolai:
Infiniteness of zero modes for the Pauli operator with singular magnetic field
MathSciNet review MR2204677.
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Hansson, Anders M.:
On the spectrum and eigenfunctions of the Schrödinger operator with Aharonov-Bohm magnetic field
MathSciNet review MR2203769.
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Cornean, Horia D.; Nenciu, Gheorghe; Pedersen, Thomas G.:
The Faraday effect revisited: general theory
MathSciNet review MR2202529.
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Michel, Laurent:
Scattering Amplitude for the Schrödinger Equation with Strong Magnetic Field and Strong Electric Potential
MathSciNet review MR2189779.
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Helffer, Bernard:
Analysis of the bottom of the spectrum of Schrödinger operators with magnetic potentials and applications
MathSciNet review MR2185769.
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Ferrari, Christian; Kovařík, Hynek:
On the exponential decay of magnetic Stark resonances
MathSciNet review MR2176791.
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Melnichuk, O. P.; Popov, I. Yu.:
Dirichlet strips coupled through periodic system of narrow windows: variational proof of gap existence
MathSciNet review MR2151085.
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Persson, Mikael:
On the Aharonov-Casher formula for different self-adjoint extensions of the Pauli operator with singular magnetic field
MathSciNet review MR2147135.
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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.
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Borisov, Denis; Ekholm, Tomas; Kovařík, Hynek:
Spectrum of the magnetic Schrödinger operator in a waveguide with combined boundary conditions
MathSciNet review MR2136194.
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Ghanmi, Allal:
Euclidean limit of L2-spectral properties of the Pauli Hamiltonians on constant curvature surfaces
MathSciNet review MR2124372.
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Elton, Daniel M.:
The Bethe-Sommerfeld conjecture for the 3-dimensional periodic Landau operator
MathSciNet review MR2114599.
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Mesteel, B.D.; Osbaldestin, A.H.:
Golden mean renormalization for a generalized Harper equation: The Ketoja-Satija orchid
MathSciNet review MR2105234.
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Dimassi, Mouez; Guillot, Jean-Claude; Ralston, James:
On effective Hamiltonians for adiabatic perturbations of magnetic Schrödinger operators
MathSciNet review MR2104132.
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Melgaard, M.; Ouhabaz, E.-M.; Rozenblum, G.:
Negative discrete spectrum of perturbed multivortex Aharonov-Bohm Hamiltonian
MathSciNet review MR2091985.
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Hundertmark, Dirk; Simon, Barry:
A diamagnetic inequality for semigroup differences.
MathSciNet review MR2070145.
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Bruneau, V.; Pushnitski, A.; Raikov, G.:
Spectral shift function in strong magnetic fields
MathSciNet review MR2069004.
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Fernández, Claudio; Raikov, Georgi:
On the singularities of the magnetic spectral shift function at the Landau levels
MathSciNet review MR2057679.
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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.
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Krupa, Andrzej:
The density of states of a local almost periodic operator in Rn.
MathSciNet review MR2014300.
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Dimassi, Mouez; Raikov, Georgi D.:
Spectral asymptotics for quantum Hamiltonians in strong magnetic fields.
MathSciNet review MR1961594.
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Mathai, Varghese; Schick, Thomas; Yates, Stuart:
Approximating spectral invariants of Harper operators on graphs II.
MathSciNet review MR1955281.
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Erdős, László:
Spectral shift and multiplicity of the first eigenvalue of the magnetic Schrödinger operator in two dimensions.
MathSciNet review MR1954326.
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Erdős, László; Vougalter, Vitali:
Two dimensional Pauli operator via scalar potential.
MathSciNet review MR1946023.
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Pan, Xing-Bin; Kwek, Keng-Huat:
Schrödinger operators with non-degenerately vanishing magnetic fields in bounded domains.
MathSciNet review MR1926871.
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Erdős, László; Vougalter, Vitali:
Pauli operator and Aharonov-Casher theorem for measure valued magnetic fields.
MathSciNet review MR1889230.
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Mathai, Varghese; Yates, Stuart:
Approximating spectral invariants of Harper operators on graphs.
MathSciNet review MR1878633.
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Tamura, Hideo:
Norm resolvent convergence to magnetic Schrödinger operators with point interactions.
MathSciNet review MR1828454.
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Balinsky, A. A.; Evans, W. D.; Lewis, Roger T.:
Sobolev, Hardy and CLR inequalities associated with Pauli operators in R3.
MathSciNet review MR1820450.
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