Georgi Raikov's Papers:

• Jean-Francois Bony, Vincent Bruneau, Georgi Raikov:
  Resonances and spectral shift function singularities for magnetic quantum Hamiltonians,
  to appear in the Proceedings of the Conference Spectral and Scattering Theory and Related Topics,
  RIMS, Kyoto, Japan, 14 - 17 December 2011, RIMS Kokyuroku Bessatsu.
• Alexander Pushnitski, Georgi Raikov, Carlos Villegas-Blas:
  Asymptotic density of eigenvalue clusters for the perturbed Landau Hamiltonian,
  Communications in Mathematical Physics, 320 (2013), 425 - 453.
• Jean-Francois Bony, Vincent Bruneau, Georgi Raikov:
  Counting function of characteristic values and magnetic resonances,
  to appear in Commun. PDE.
• Ph. Briet, H. Kovarik, G. Raikov:
  Scattering in twisted waveguides,
  Preprint arXiv:1109.2111.
• P. Miranda, G. Raikov:
  Discrete spectrum of quantum Hall effect Hamiltonians II. Periodic edge potential,
  Asymptotic Analysis, 79 (2012), 325 - 345.
• V. Bruneau, P. Miranda, G. Raikov:
  Discrete spectrum of quantum Hall effect Hamiltonians I. Monotone edge potential,
  Journal of Spectral Theory, 1 (2011), 237 - 272.
• N. Dombrowski, F. Germinet, G. D. Raikov:
  Quantization of edge currents along magnetic barriers and magnetic guides,
  Ann. H. Poincaré, 12, (2011), 1169 - 1197.
• N. Dombrowski, F. Germinet, G. D. Raikov:
  Splitting of the Landau levels by magnetic perturbations and Anderson transition in 2D-random magnetic media,
  J. Phys. A: Math. Theor. 43 (2010) 474017, 16pp.
• G. D. Raikov:
  Low energy asymptotics of the spectral shift function for Pauli operators with nonconstant magnetic fields,
  Publ. Res. Inst. Math. Sci., 46 (2010), 565 - 590.
• F. Klopp, G. D. Raikov:
  The fate of the Landau levels under perturbations of constant sign,
  Int. Math. Res. Notices 2009 (2009), 4726 - 4734.
• P. Briet, P. D. Hislop, G. Raikov, E. Soccorsi:
  Mourre estimates for a 2D magnetic quantum Hamiltonian on strip-like domains,
  In: Spectral and Scattering Theory for Quantum Magnetic Systems,
  Contemporary Mathematics 500, 2009, AMS, Providence, 33 - 46.
• V. Bruneau, A. Khochman, G. Raikov:
  Perturbation of a magnetic Schrödinger operator near an embedded infinite-multiplicity eigenvalue,
  In: Spectral and Scattering Theory for Quantum Magnetic Systems,
  Contemporary Mathematics 500, 2009, AMS, Providence, 47 - 62.
• Ph. Briet, H. Kovarik, G. Raikov, E. Soccorsi:
  Eigenvalue asymptotics in a twisted waveguide,
  Commun. P.D.E., 34 (2009), 818 - 836.
• J.-F. Bony, Ph. Briet, V. Bruneau, G. Raikov:
  Resonances and SSF singularities for magnetic Schrödinger operators,
  Cubo 11 (2009), no 5, 23 - 38.
• G. D. Raikov:
  On the spectrum of a translationally invariant Pauli operator,
  Amer. Math. Soc. Transl. (2) 225, 2008, 157 - 167.
• Ph. Briet, G. D. Raikov:
  The integrated density of states in strong magnetic fields,
  in: Mathematical Results in Quantum Mechanics, World Scientific, 2008,
  Proceedings of QMath10, Moieciu, Romania 10 - 15 September 2007, pp. 15 - 21.
• M. A. Astaburuaga, Ph. Briet, V. Bruneau, C. Fernández, G. D. Raikov:
  Dynamical resonances and SSF singularities for a magnetic Schroedinger operator,
  Serdica Mathematical Journal, 34 (2008), 179 - 218.
• Ph. Briet, G. D. Raikov, E. Soccorsi:
  Spectral properties of a magnetic quantum Hamiltonian on a strip,
  Asymptotic Analysis, 58 (2008), 127 - 155.
• J. F. Bony, V. Bruneau, G. Raikov:
  Resonances and spectral shift function near the Landau levels,
  Ann. Inst. Fourier., 57 (2007), 629 - 671.
• F. Klopp, G. D. Raikov:
  Lifshitz tails in constant magnetic fields,
  Commun. Math. Phys., 267 (2006), 669 - 701.
• Ph. Briet, G. D. Raikov:
  The integrated density of states in strong magnetic fields,
  Journal of Functional Analysis, 237 (2006), 540 - 564.
• G. D. Raikov:
  Spectral shift function for magnetic Schrödinger operators,
  Mathematical Physics of Quantum Mechanics, Lecture Notes in Physics, 690, 2006, 451 - 465.
• G. D. Raikov:
  Spectral shift function for Schrödinger operators in constant magnetic fields,
  Cubo, 7 (2005), 171 - 199.
• V. Bruneau, G. D. Raikov:
  High energy asymptotics of the magnetic spectral shift function,
  J. Math. Phys., 45 (2004), 3453 - 3461.
• J. M. Combes, P. D. Hislop, F. Klopp, G. D. Raikov:
  Global continuity of the integrated density of states for random Landau Hamiltonians,
  Commun. P.D.E., 29 (2004), 1187 - 1213.
• C. Fernández, G. D. Raikov:
  On the singularities of the magnetic spectral shift function at the Landau levels,
  Ann. H. Poincaré, 5 (2004), 381 - 403.
• V. Bruneau, A. Pushnitski, G. D. Raikov:
  Spectral shift function in strong magnetic fields,
  Algebra i Analiz, 16 (2004), 207 - 238; St. Petersburg Math. J., 16 (2005), 181 - 209.
• G. D. Raikov:
  Spectral asymptotics for the perturbed 2D Pauli operator with oscillating magnetic fields.
  I. Non-zero mean value of the magnetic field,
  Markov Processes and Related Fields, 9 (2003), 775 - 794.
• G. D. Raikov, S.Warzel:
  Eigenvalue asymptotics for magnetic Schrödinger operators with rapidly decreasing electric potentials,
  C. R. Acad. Sci. Paris, Ser. I 335 (2002), 683 - 688.
• G. D. Raikov, S.Warzel:
  Quasi-classical versus non-classical spectral asymptotics for magnetic Schrödinger operators with decreasing electric potentials,
  Rev. Math. Phys., 14 (2002), 1051 - 1072.
• G. D. Raikov:
  The integrated density of states for a random Schödinger operator in strong magnetic fields.
  II. Asymptotics near higher Landau levels,
  In: Proceedings of the Conference PDE 2000, Clausthal, July 24-28, 2000,
  Operator Theory Advances and Applications, 126 Birkhäuser (2001), pp. 281 - 292.
• M.Dimassi, G. D. Raikov:
  Spectral asymptotics for quantum Hamiltonians in strong magnetic fields,
  Cubo Matemática Educacional, 3 (2001), 317 - 391.
• W.Kirsch, G. D. Raikov:
  Strong-magnetic-field asymptotics of the integrated density of states for a random 3D Schrödinger operator,
  Ann. H. Poincaré, 1 (2000), 801 - 822.
• G. D. Raikov:
  Eigenvalue asymptotics for the Pauli operator in strong non-constant magnetic fields,
  Ann. Inst. Fourier, 49 (1999), 1603 - 1636.
• G. D. Raikov:
  Eigenvalue asymptotics for the Dirac operator in strong constant magnetic fields,
  Math. Physics Electron. J., 5 (1999), No 2, 22 pp.
• G. D. Raikov:
  Asymptotic properties of the magnetic integrated density of states,
  Electron. J. Differential Equations, 1999 (1999), No 13, pp. 1 - 27.
• G. D. Raikov,
  Eigenvalue asymptotics for the Schrödinger operator in strong constant magnetic fields,
  Commun. P.D.E., 23 (1998), 1583 - 1620.
• G. D. Raikov:
  Asymptotic bounds on the number of the eigenvalues in the gaps of the 2D magnetic Schrödinger operator,
  Asymptotic Analysis, 16 (1998), 87 - 98.
• G. D. Raikov:
  The essential spectrum of a linear magnetohydrodynamic model containing a vacuum region,
  Commun. P.D.E., 22 (1997), 71 - 98.
• G. D. Raikov:
  Semiclassical and weak-magnetic-field eigenvalue asymptotics for the Schrödinger operator with electromagnetic potential,
  Ann. Inst. H. Poincaré, Phys. Théorique, 61 (1994), 163 - 188.
• G. D. Raikov:
  Asymptotiques spectrales pour l'opérateur de Schrödinger avec un potentiel électromagnétique,
  In: Séminaire Equations aux Dérivées Partielles, Centre de Mathématiques, Ecole Polytechnique (1993-1994), Exposé n. XIX.
• A. Mohamed, G. D. Raikov:
  On the spectral theory of the Schrödinger operator with electromagnetic potential,
  In: Adv. Part. Diff. Equat. 5, Pseudo-Differential Calculus and Mathematical Physics (1994), Akademie-Verlag, pp. 298 - 390.
• G. D. Raikov:
  Strong-electric-field eigenvalue asymptotics for the perturbed magnetic Schrödinger operator,
  In: Proc. Fourth Colloquium on Diff. Equat., Plovdiv '93, VSP, Utrecht (1994), pp. 245 - 252.
• G. D. Raikov:
  Strong-electric-field eigenvalue asymptotics for the perturbed magnetic Schrödinger operator,
  Comm. Math. Phys., 155 (1993), 415 - 428.
• G. D. Raikov:
  Eigenvalue asymptotics for the Schrödinger operator with perturbed periodic potential,
  Invent. Math., 110 (1992), 75 - 93.
• M.S.Birman, G. D. Raikov:
  Discrete spectrum in the gaps for perturbations of the magnetic Schrödinger operators,
  In: Estimates and Asymptotics for Discrete Spectra of Integral and Differential Equations.
  Advances in Soviet Mathematics, 7 (1991), 75 - 84, AMS, Providence.
• G. D. Raikov:
  The spectrum of a linear magnetohydrodynamic model with cylindrical symmetry,
  Arch. Rat. Mech. Anal., 116 (1991), 161 - 198.
• G. D. Raikov:
  L'asymptotique des valeurs propres de l'opérateur de Schrödinger avec un potentiel périodique perturbé,
  In: Séminaire de Théorie Spectrale et Géométrie, Chambéry-Grenoble, 9 (1991), 133 - 139.
• G. D. Raikov:
  Border-line eigenvalue asymptotics for the Schrödinger operator with electro-magnetic potential,
  Int. Equat. Op. Theory, 14 (1991), 875 - 888.
• G. D. Raikov:
  Semiclassical and weak-magnetic-field eigenvalue asymptotics for the Schrödinger operator with electromagnetic potential,
  C.R. Acad. Sci. Bulg., 44 (1991), no.1, 15 - 18.
• G. D. Raikov:
  Eigenvalue asymptotics for the Schrödinger operator with homogeneous magnetic potential and decreasing electric potential.
  II. Strong-electric-field approximation,
  Proc. Int. Conf. Integral Equat. Inv. Problems, Varna'89, Longman, 1991, pp. 220 - 224.
• G. D. Raikov:
  Strong-electric-field eigenvalue asymptotics for the Schrödinger operator with electromagnetic potential,
  Lett. Math. Phys., 21 (1991), 41 - 49.
• G. D. Raikov:
  Eigenvalue asymptotics for the Schrödinger operator with homogeneous magnetic potential and decreasing electric potential.
  I. Behaviour near the essential spectrum tips,
  Commun. P.D.E., 15 (1990), 407 - 434.
• G. D. Raikov:
  The spectrum of an ideal linear magnetohydrodynamic model with translational symmetry,
  Asympt. Anal., 3 (1990), 1 - 35.
• G. D. Raikov:
  Eigenvalue asymptotics for the Schrödinger operator with homogeneous magnetic potential and decreasing electric potential.
  I. Behaviour near the essential spectrum tips,
  C. R. Acad. Sci. Paris, Sér. I, 309 (1989), 559 - 564.
• G. D. Raikov:
  Spectral asymptotics for the Schrödinger operator with potential which steadies at infinity,
  Commun. Math. Phys., 124 (1989), 665 - 685.
• G. D. Raikov:
  Spectral asymptotics for the Schrödinger operator with a stabilizing potential,
  In: Symp. "Part. Diff. Equ." Holzhau 1988. Karl-Weierstrass-Institute of Mathematics.
  Teubner-Texte zur Mathematik 112, Leipzig, 1989, pp. 223 - 228.
• G. D. Raikov:
  On the asymptotics of the negative eigenvalues for an axisymmetric ideal magneto-hydrodynamic model,
  Ann. Inst. H. Poincaré, Phys. Théorique, 48 (1988), 39 - 75.
• G. D. Raykov:
  The spectrum of a magnetohydrodynamic model with translational symmetry,
  In: Diff. Equat. Appl., Proc. of the 3rd Conf., Rousse'85, Rousse: Technical University, 1987, pp. 875 - 878.
• G. D. Raykov:
  The spectrum of a linear magnetohydrodynamic model with cylindrical symmetry,
  C. R. Acad. Bulg. Sci., 39 (1986), no.3, 17 - 20.
• G. D. Raikov:
  Spectral properties of a linear magnetohydrodynamic model with axial symmetry,
  Vestnik LGU. Ser. 4 (1986) no. 2, pp. 74 - 76 (Russian).
• G. D. Raikov:
  The spectral properties of a linearized magnetohydrodynamics model,
  In: Linear and nonlinear boundary problems. Spectral theory. Probl. Math. Anal., 10, Leningrad. Univ. Leningrad, 1986, pp. 195 - 207 (Russian);
  Engl. transl. in J. Sov. Math., 45 (1989), 1261 - 1271.
• G. D. Raikov:
  The spectral properties of a linearized magnetohydrodynamics model,
  In: Boundary value problems of mathematical physics and related problems in the theory of functions, No.17.
  Zap. Nauchn. Sem. Leningrad. Otdel. Mat. Inst. Steklov (LOMI), 147 (1985), pp. 120 - 123 (Russian);
  Engl. Transl. in J. Sov. Math., 37 (1987), 866 - 868.