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Leibniz Universität Hannover zur deutschen Version Michael J. Gruber Contact
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Mathematics & Physics > Analysis > Gruber > Research > Review

Reviews

  1. Fefferman, Charles L.; Lee-Thorp, James P.; Weinstein, Michael I.: Honeycomb Schrödinger operators in the strong binding regime
    MathSciNet review MR3794531
  2. Güneysu, Batu: Covariant Schrödinger semigroups on Riemannian manifolds
    MathSciNet review MR3751359
  3. El Aidi, Mohammed: On a unique continuation for Aharonov-Bohm magnetic Schrodinger equation
    MathSciNet review MR3719305
  4. Morita, Tsutomu: Non-existence of zero resonances of Pauli operators
    MathSciNet review MR2918144
  5. Golénia, Sylvain: On the instability of eigenvalues
    MathSciNet review MR2808413
  6. Nenciu, Gheorghe; Nenciu, Irina: On essential self-adjointness for magnetic Schrödinger and Pauli operators on the unit disc in R2
    MathSciNet review MR2845771
  7. Prado, Roberto A.; de Oliveira, César R.: Sparse 1D discrete Dirac operators I: quantum transport
    MathSciNet review MR2834902
  8. 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
  9. Liu, Dan: Hausdorff measure of critical sets of solutions to magnetic Schrödinger equations
    MathSciNet review MR2782802
  10. Saitō, Yoshimi; Umeda, Tomio: Eigenfunctions at the threshold energies of magnetic Dirac operators
    MathSciNet review MR2786225
  11. Mochizuki, Kiyoshi: Uniform resolvent estimates for magnetic Schrödinger operators and smoothing effects for related evolution equations
    MathSciNet review MR2791005
  12. Badanin, A. V.; Korotyaev, E. L.: A magnetic Schrödinger operator on a periodic graph
    MathSciNet review MR2768822
  13. Asch, Joachim; Meresse, Cédric: A constant of quantum motion in two dimensions in crossed magnetic and electric fields
    MathSciNet review MR2738097
  14. Veselić, Ivan: Wegner estimates for sign-changing single site potentials
    MathSciNet review MR2738565
  15. Raikov, Georgi D.: Low energy asymptotics of the spectral shift function for Pauli operators with nonconstant magnetic fields
    MathSciNet review MR2760738
  16. de Oliveira, César R.; Pereira, Marciano: Scattering and self-adjoint extensions of the Aharonov-Bohm Hamiltonian
    MathSciNet review MR2673578
  17. 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
  18. Kang, Yang; Klein, Abel: The Liouville equation for singular ergodic magnetic Schrödinger operators
    MathSciNet review MR2647861
  19. 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
  20. Matte, Oliver; Stockmeyer, Edgardo: Spectral theory of no-pair Hamiltonians
    MathSciNet review MR2649211
  21. Goffeng, Magnus: Index formulas and charge deficiencies on the Landau levels
    MathSciNet review MR2605059
  22. Bräunlich, G.; Graf, G. M.; Ortelli, G.: Equivalence of topological and scattering approaches to quantum pumping
    MathSciNet review MR2585997
  23. Prodan, Emil: The edge spectrum of Chern insulators with rough boundaries
    MathSciNet review MR2554445
  24. Jakubassa-Amundsen, Doris H.: The ground state of relativistic ions in the limit of high magnetic fields
    MathSciNet review MR2557201
  25. Klopp, Frédéric; Raikov, Georgi: The fate of the Landau levels under perturbations of constant sign
    MathSciNet review MR2564374
  26. Matte, Oliver; Stockmeyer, Edgardo: On the eigenfunctions of no-pair operators in classical magnetic fields
    MathSciNet review MR2557028
  27. Danilov, L. I.: On absolute continuity of the spectrum of a periodic magnetic Schrödinger operator
    MathSciNet review MR251212
  28. Serov, V. S.: The fundamental solution and Fourier series in eigenfunctions of the magnetic Schrödinger operator
    MathSciNet review MR251557
  29. Enblom, Andreas: On the absolutely continuous spectrum of magnetic Schrödinger operators
    MathSciNet review MR249324
  30. Khochman, Abdallah: Resonances and spectral shift function for a magnetic Schrödinger operator
    MathSciNet review MR251399
  31. de Oliveira, César R.; Pereira, Marciano: Mathematical justification of the Aharonov-Bohm Hamiltonian
    MathSciNet review MR246201
  32. Caprez, Adam; Batelaan, Herman: Feynman's relativistic electrodynamics paradox and the Aharonov-Bohm effect
    MathSciNet review MR2486545
  33. Helffer, Bernard; Kordyukov, Yuri A.: Spectral gaps for periodic Schrödinger operators with hypersurface magnetic wells
    MathSciNet review MR2466683
  34. Briet, Philippe; Raikov, Georgi: The integrated density of states in strong magnetic fields
    MathSciNet review MR2466675
  35. 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
  36. Hegerfeldt, G. C.; Neumann, J. T.: The Aharonov-Bohm effect: the role of tunneling and associated forces
    MathSciNet review MR2449583
  37. Briet, Philippe; Raikov, Georgi; Soccorsi, Eric.: Spectral properties of a magnetic quantum Hamiltonian on a strip
    MathSciNet review MR2456460
  38. Briet, Philippe.: The integrated density of states for magnetic Schrödinger operators
    MathSciNet review MR2452407
  39. Dombrowski, N.; Germinet, F.: Linear response theory for random Schrödinger operators and noncommutative integration
    MathSciNet review MR2455017
  40. Dolbeault, J.; Esteban, M.; Loss, M.: Characterization of the critical magnetic field in the Dirac-Coulomb equation
    MathSciNet review MR2453978
  41. Cornean, H. D.; Nenciu, A.; Nenciu, G.: Optimally localized Wannier functions for quasi one-dimensional nonperiodic insulators
    MathSciNet review MR2450481
  42. Skrzypczak, Leszek: Wavelet frames, Sobolev embeddings and negative spectrum of Schrödinger operators on manifolds with bounded geometry
    MathSciNet review MR2399107
  43. Golénia, Sylvain; Moroianu, Sergiu: Spectral analysis of magnetic Laplacians on conformally cusp manifolds
    MathSciNet review MR2389893
  44. Ivrii, Victor: Magnetic Schrödinger operator: geometry, classical and quantum dynamics and spectral asymptotics
    MathSciNet review MR2385203
  45. Yafaev, Dimitri: On spectral properties of translationally invariant magnetic Schrödinger operators
    MathSciNet review MR2389894
  46. Asch, J.; Šťovíček, P.: On the dynamics created by a time-dependent Aharonov-Bohm flux
    MathSciNet review MR2347789
  47. Bruneau, Vincent; Dimassi, Mouez: Weak asymptotics of the spectral shift function
    MathSciNet review MR2337341
  48. Eckstein, Andrei: Unitary reduction for the two-dimensional Schrödinger operator with strong magnetic field
    MathSciNet review MR2334681
  49. Dolbeault, Jean; Esteban, Maria J.; Loss, Michael: Relativistic hydrogenic atoms in strong magnetic fields
    MathSciNet review MR2333781
  50. Fournais, Søren: Spectral confinement and current for atoms in strong magnetic fields
    MathSciNet review MR2329308
  51. Herbst, Ira: Barry Simon's work on electric and magnetic fields and the semi-classical limit
    MathSciNet review MR2310214
  52. Erdős, László: Recent developments in quantum mechanics with magnetic fields
    MathSciNet review MR2310212
  53. Amour, Laurent; Grébert, Benoît; Guillot, Jean-Claude: The dressed nonrelativistic electron in a magnetic field
    MathSciNet review MR2237709
  54. Briet, Philippe; Raikov, Georgi: The integrated density of states in strong magnetic fields
    MathSciNet review MR2230349
  55. Dodziuk, Jósef; Mathai, Varghese: Kato's inequality and asymptotic spectral properties for discrete magnetic Laplacians
    MathSciNet review MR2218014
  56. Ožanová, Kateřina: Approximation by point potentials in a magnetic field
    MathSciNet review MR2212075
  57. Buchendorfer, Christoph; Graf, Gian Michele: Scattering of magnetic edge states
    MathSciNet review MR2210234
  58. Rozenblum, Grogori; Shirokov, Nikolai: Infiniteness of zero modes for the Pauli operator with singular magnetic field
    MathSciNet review MR2204677.
  59. Hansson, Anders M.: On the spectrum and eigenfunctions of the Schrödinger operator with Aharonov-Bohm magnetic field
    MathSciNet review MR2203769.
  60. Cornean, Horia D.; Nenciu, Gheorghe; Pedersen, Thomas G.: The Faraday effect revisited: general theory
    MathSciNet review MR2202529.
  61. Michel, Laurent: Scattering Amplitude for the Schrödinger Equation with Strong Magnetic Field and Strong Electric Potential
    MathSciNet review MR2189779.
  62. Helffer, Bernard: Analysis of the bottom of the spectrum of Schrödinger operators with magnetic potentials and applications
    MathSciNet review MR2185769.
  63. Ferrari, Christian; Kovařík, Hynek: On the exponential decay of magnetic Stark resonances
    MathSciNet review MR2176791.
  64. Melnichuk, O. P.; Popov, I. Yu.: Dirichlet strips coupled through periodic system of narrow windows: variational proof of gap existence
    MathSciNet review MR2151085.
  65. Persson, Mikael: On the Aharonov-Casher formula for different self-adjoint extensions of the Pauli operator with singular magnetic field
    MathSciNet review MR2147135.
  66. 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.
  67. Borisov, Denis; Ekholm, Tomas; Kovařík, Hynek: Spectrum of the magnetic Schrödinger operator in a waveguide with combined boundary conditions
    MathSciNet review MR2136194.
  68. Ghanmi, Allal: Euclidean limit of L2-spectral properties of the Pauli Hamiltonians on constant curvature surfaces
    MathSciNet review MR2124372.
  69. Elton, Daniel M.: The Bethe-Sommerfeld conjecture for the 3-dimensional periodic Landau operator
    MathSciNet review MR2114599.
  70. Mesteel, B.D.; Osbaldestin, A.H.: Golden mean renormalization for a generalized Harper equation: The Ketoja-Satija orchid
    MathSciNet review MR2105234.
  71. Dimassi, Mouez; Guillot, Jean-Claude; Ralston, James: On effective Hamiltonians for adiabatic perturbations of magnetic Schrödinger operators
    MathSciNet review MR2104132.
  72. Melgaard, M.; Ouhabaz, E.-M.; Rozenblum, G.: Negative discrete spectrum of perturbed multivortex Aharonov-Bohm Hamiltonian
    MathSciNet review MR2091985.
  73. Hundertmark, Dirk; Simon, Barry: A diamagnetic inequality for semigroup differences.
    MathSciNet review MR2070145.
  74. Bruneau, V.; Pushnitski, A.; Raikov, G.: Spectral shift function in strong magnetic fields
    MathSciNet review MR2069004.
  75. Fernández, Claudio; Raikov, Georgi: On the singularities of the magnetic spectral shift function at the Landau levels
    MathSciNet review MR2057679.
  76. 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.
  77. Krupa, Andrzej: The density of states of a local almost periodic operator in Rn.
    MathSciNet review MR2014300.
  78. Dimassi, Mouez; Raikov, Georgi D.: Spectral asymptotics for quantum Hamiltonians in strong magnetic fields.
    MathSciNet review MR1961594.
  79. Mathai, Varghese; Schick, Thomas; Yates, Stuart: Approximating spectral invariants of Harper operators on graphs II.
    MathSciNet review MR1955281.
  80. Erdős, László: Spectral shift and multiplicity of the first eigenvalue of the magnetic Schrödinger operator in two dimensions.
    MathSciNet review MR1954326.
  81. Erdős, László; Vougalter, Vitali: Two dimensional Pauli operator via scalar potential.
    MathSciNet review MR1946023.
  82. Pan, Xing-Bin; Kwek, Keng-Huat: Schrödinger operators with non-degenerately vanishing magnetic fields in bounded domains.
    MathSciNet review MR1926871.
  83. Erdős, László; Vougalter, Vitali: Pauli operator and Aharonov-Casher theorem for measure valued magnetic fields.
    MathSciNet review MR1889230.
  84. Mathai, Varghese; Yates, Stuart: Approximating spectral invariants of Harper operators on graphs.
    MathSciNet review MR1878633.
  85. Tamura, Hideo: Norm resolvent convergence to magnetic Schrödinger operators with point interactions.
    MathSciNet review MR1828454.
  86. 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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