V Bruneau, G Raikov, Magnetic Quantum Hamiltonians and Berezin-Toeplitz Operators, preprint.
Pablo Miranda, Daniel Parra, Georgi Raikov, Spectral asymptotics at thresholds for a Dirac-type operator on Z2, Journal of Functional Analysis 284 (2023), n°2, article 109743. Cited in
Jussi Behrndt, Markus Holzmann, Vladimir Lotoreichik, and Georgi Raikov, The fate of Landau levels under δ-interactions, Journal of Spectral Theory 12 (2023) n°3, 1203-1234. Cited in
Vincent Bruneau, Georgi Raikov, Threshold singularities of the spectral shift function for geometric perturbations of magnetic Hamiltonians, Annales H. Poincaré, 21 (2020) n°5, 1401-1449. Cited in
Esteban Cárdenas, Georgi Raikov, Ignacio Tejeda, Spectral properties of Landau Hamiltonians with non-local potentials, Asymptotic Analysis, 120 (2020), n°3-4, 337-371 . Cited in
Jean-Francois Bony, Nicolas Espinoza, Georgi Raikov, Spectral properties of 2D Pauli operators with almost periodic electromagnetic fields, Publ. Res. Inst. Math. Sci, 55 (2019) n°3, 453-487. Cited in
Vincent Bruneau, Georgi Raikov, Local eigenvalue asymptotics of the perturbed Krein Laplacian, Mathematical Problems in Quantum Physics, Editors F. Bonetto, D. Borthwick, E. Harrell, and M. Loss, Contemporary Mathematics 717, AMS, Providence, 2018, pp. 197–213.
Vincent Bruneau, Georgi Raikov, Spectral properties of harmonic Toeplitz operators and applications to the perturbed Krein Laplacian, Asymptotic Analysis, 109 (2018), 53-74. Cited in
Werner Kirsch, Georgi Raikov, Lifshits tails for squared potentials, Annales Henri Poincaré, 19 (2018) no 7, 2087–2100 . Cited in
Werner Kirsch, David Krejcirik, Georgi Raikov, Lifshits tails for randomly twisted quantum waveguides, Journal of Statistical Physics, 171 (2018), n°1, 383–399. Cited in
Werner Kirsch, Georgi Raikov, Surface Lifshits tails for random quantum Hamiltonians, Journal of Mathematical Physics, 58 (2017), 032102.
Georgi Raikov, Discrete spectrum of Schrödinger operators with oscillating decaying potentials, Journal of Mathematical Analysis and Applications, 438 (2016), 551 - 564. Cited in
Georgi Raikov, Spectral asymptotics for waveguides with perturbed periodic twisting, Journal of Spectral Theory, 6 (2016), 331 - 372. Cited in
T. Lungenstrass, G. D. Raikov, Local spectral asymptotics for metric perturbations of the Landau Hamiltonian, Analysis and PDE, 8 (2015), 1237 - 1262. Cited in
T. Lungenstrass, G. D. Raikov, Trace formulae for the asymptotic density of eigenvalue clusters for the perturbed Landau Hamiltonian, In: Proceedings of the QMath12 Conference. Mathematical Results in Quantum Mechanics, Pavel Exner, Wolfgang Koenig, and Hagen Neidhardt editors, World Scientific (2015), 31 - 46.
T. Lungenstrass, G. D. Raikov, A trace formula for long-range perturbations of the Landau Hamiltonian, Ann. H. Poincaré 15 (2014), 1523 - 1548. Cited in
J.-F. Bony, V. Bruneau, G. D. Raikov, Resonances and spectral shift function singularities for magnetic quantum Hamiltonians, RIMS Kokyuroku Bessatsu B45 (2014), 77 - 100. Cited in
Vincent Bruneau, Pablo Miranda, Georgi Raikov, Dirichlet and Neumann eigenvalues for half-plane magnetic Hamiltonians, Reviews in Mathematical Physics 26 (2014), 1450003 (23 pages). Cited in
J.-F. Bony, V. Bruneau, G. D. Raikov, Counting function of characteristic values and magnetic resonances, Commun. PDE. 39 (2014), 274 - 305. Cited in
Ph. Briet, H. Kovarik, G. Raikov, Scattering in twisted waveguides, Journal of Functional Analysis 266 (2014), 1 - 35. Cited in
Alexander Pushnitski, Georgi Raikov, Carlos Villegas-Blas, A trace formula for eigenvalue clusters of the perturbed Landau Hamiltonian, XVIIth International Congress on Mathematical Physics, Aalborg, Denmark, 6-11 August 2012, Arne Jensen editor, World Scientific, Singapore, 2013, pp. 512 - 519.
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. Cited in
P. Miranda, G. Raikov, Discrete spectrum of quantum Hall effect Hamiltonians II. Periodic edge potential, Asymptotic Analysis 79 (2012), 325 - 345. Cited in
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. Cited in
N. Dombrowski, F. Germinet, G. D. Raikov, Quantization of edge currents along magnetic barriers and magnetic guides, Ann. H. Poincaré 12 (2011), 1169 - 1197. Cited in
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. Cited in
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. Cited in
F. Klopp, G. D. Raikov, The fate of the Landau levels under perturbations of constant sign, Int. Math. Res. Notices 2009 (2009), 4726 - 4734. Cited in
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. Cited in
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. Cited in
Ph. Briet, H. Kovarik, G. Raikov, E. Soccorsi, Eigenvalue asymptotics in a twisted waveguide, Commun. P.D.E. 34 (2009), 818 - 836. Cited in
J.-F. Bony, Ph. Briet, V. Bruneau, G. Raikov, Resonances and SSF singularities for magnetic Schrödinger operators, Cubo 11 (2009), n°5, 23 - 38. Cited in
G. D. Raikov, On the spectrum of a translationally invariant Pauli operator, Amer. Math. Soc. Transl. (2) Vol. 225, (2008), 157 - 167. Cited in
Ph. Briet, G. D. Raikov, The integrated density of states in strong magnetic fields, in: Mathematical Results in Quantum Mechanics: Proceedings of the QMath10 Conference, Moieciu, Romania, 10-15 September 2007, Ingrid Beltita, Gheorghe Nenciu, Radu Purice Eds., World Scientific, Singapore, 2008, p.p. 15 - 21.
M. A. Astaburuaga, Ph. Briet, V. Bruneau, C. Fernández, G. D. Raikov, Dynamical resonances and SSF singularities for a magnetic Schrödinger operator, Serdica Mathematical Journal 34 (2008), 179 - 218. Cited in
Ph. Briet, G. D. Raikov, E. Soccorsi, Spectral properties of a magnetic quantum Hamiltonian on a strip, Asymptotic Analysis 58 (2008), 127 - 155. Cited in
J. F. Bony, V. Bruneau, G. Raikov, Resonances and spectral shift function near the Landau levels, Ann. Inst. Fourier. 57 (2007), 629 - 671. Cited in
F. Klopp, G. D. Raikov, Lifshitz tails in constant magnetic fields, Commun. Math. Phys. 267 (2006), 669 - 701. Cited in
Ph. Briet, G. D. Raikov, The integrated density of states in strong magnetic fields, Journal of Functional Analysis 237 (2006), 540 - 564. Cited in
G. D. Raikov, Spectral shift function for magnetic Schrödinger operators, Mathematical Physics of Quantum Mechanics, Lecture Notes in Physics 690 (2006), 451 - 465. Cited in
G. D. Raikov, Spectral shift function for Schrödinger operators in constant magnetic fields, Cubo 7 (2005), 171 - 199. Cited in
V. Bruneau, G. D. Raikov, High energy asymptotics of the magnetic spectral shift function, J. Math. Phys. 45 (2004), 3453 - 3461. Cited in
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. Cited in
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. Cited in
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. Cited in
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. Cited in
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. Cited in
G. D. Raikov, S .Warzel, Spectral asymptotics for magnetic Schrödinger operators with rapidly decreasing electric potentials, C. R. Acad. Sci. Paris, Ser. I 335 (2002), 683 - 688. Cited in
G. D. Raikov, The integrated density of states for a random Schoedinger 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. Cited in
M. Dimassi, G. D. Raikov, Spectral asymptotics for quantum Hamiltonians in strong magnetic fields, Cubo Matemática Educacional 3 (2001), 317 - 391. Cited in
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. Cited in
G. D. Raikov, Eigenvalue asymptotics for the Pauli operator in strong non-constant magnetic fields, Ann. Inst. Fourier 49 (1999), 1603 - 1636. Cited in
G. D. Raikov, Eigenvalue asymptotics for the Dirac operator in strong constant magnetic fields, Math. Physics Electron. J. 5 (1999), n°2, 22 pp. Cited in
G. D. Raikov, Asymptotic properties of the magnetic integrated density of states, Electron. J. Differential Equations 1999 (1999), n°13, pp. 1 - 27. Cited in
G. D. Raikov, Eigenvalue asymptotics for the Schrödinger operator in strong constant magnetic fields, Commun. P.D.E. 23 (1998), 1583 - 1620. Cited in
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. Cited in
G. D. Raikov, The essential spectrum of a linear magnetohydrodynamic model containing a vacuum region, Commun. P.D.E. 22 (1997), 71 - 98. Cited in
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. Cited in
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. Cited in
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. Cited in
G. D. Raikov, Eigenvalue asymptotics for the Schrödinger operator with perturbed periodic potential, Invent. Math. 110 (1992), 75 - 93. Cited in
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. Cited in
G. D. Raikov, The spectrum of a linear magnetohydrodynamic model with cylindrical symmetry, Arch. Rat. Mech. Anal. 116 (1991), 161 - 198. Cited in
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. Cited in
G. D. Raikov, Border-line eigenvalue asymptotics for the Schrödinger operator with electro-magnetic potential, Int. Equat. Op. Theory 14 (1991), 875 - 888. Cited in
G. D. Raikov, Semiclassical and weak-magnetic-field eigenvalue asymptotics for the Schrödinger operator with electromagnetic potential, C.R. Acad. Sci. Bulg. 44 (1991), n°1, 15 - 18. Cited in
G. D. Raikov, Eigenvalue asymptotics for the Schrödinger operator with homogeneous magnetic potential and decreasing electric potential. II. Strong-electric-field approximation, in: Integral Equations and Inverse Problems, V. Petkov, and R. Lazarov, editors, Pitman Research Notes in Mathematics Series 235, Longman Scientific & Technical 1991, pp. 220 - 224. Cited in
G. D. Raikov, Strong-electric-field eigenvalue asymptotics for the Schrödinger operator with electromagnetic potential, Lett. Math. Phys. 21 (1991), 41 - 49. Cited in
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. Cited in
G. D. Raikov, The spectrum of an ideal linear magnetohydrodynamic model with translational symmetry, Asympt. Anal. 3 (1990), 1 - 35. Cited in
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. Cited in
G. D. Raikov, Spectral asymptotics for the Schrödinger operator with potential which steadies at infinity, Commun. Math. Phys. 124 (1989), 665 - 685. Cited in
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. Cited in
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. Cited in
G. D. Raykov, The spectrum of a linear magnetohydrodynamic model with cylindrical symmetry, C. R. Acad. Bulg. Sci. 39 (1986), n°3, 17 - 20. Cited in
G. D. Raikov, Spectral properties of a linear magnetohydrodynamic model with axial symmetry, Vestnik LGU. Ser. 4 (1986) n°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. Cited in
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.