Publications and Preprints:
- Jean-Marie Barbaroux, Josef Mehringer, Edgardo
Stockmeyer, Amal Taarabt:
Dynamical
localization of Dirac particles in electromagnetic fields with
dominating magnetic potentials,
Journal of Differential Equations 260 (2016),
5912-5925.
- I. Beltita, D. Beltita, M. Mantoiu:
On
Wigner transforms in infinite dimensions,
Journal of Mathematical Physics 57 (2016), no. 2,
021705, 13 pp.
- R. D. Benguria, M. C. Depassier:
Reaction
diffusion dynamics and the Schryer-Walker solution for domain walls of
the Landau-Lifshitz-Gilbert equation,
Phys. Rev. B 93 (2016) no. 14, 144416, 5 pp.
- R. D. Benguria, M. C. Depassier, M. Loss:
Monotonicity
of the period of a non
linear oscillator,
Nonlinear Analysis, Theory, Methods and Applications, 140,
(2016), 61-68.
- Vincent Bruneau, Diomba Sambou:
Counting
function of magnetic resonances for exterior problems,
Ann. Henri Poincaré, on-line first (2016), DOI:
10.1007/s00023-016-0497-2.
- Vincent Bruneau, Diomba Sambou:
Spectral Clusters for Magnetic Exterior Problems,
in: Spectral Theory and Mathematical Physics, M.
Mantoiu, G. Raikov, and R. Tiedra editors,
Operator Theory: Advances and Applications 254,
Birkhauser, 2016, pp. 57-70.
- H. Bustos, M. Mantoiu:
C^*-Algebraic
Covariant Structures,
Houston Journal of Mathematics, 42 (2016), no. 3,
945-975.
- P. A. Cecchi, R. Tiedra de Aldecoa:
Furstenberg transformations on cartesian products of
infinite-dimensional tori,
Potential Anal 44 (2016), no. 1, 43-51.
- Dhriti Dolai:
Some Estimates Regarding Integrated Density of States for Random
Schroedinger Operator with Decaying Random Potentials,
in: Spectral Theory and Mathematical Physics, M.
Mantoiu, G. Raikov, and R. Tiedra editors,
Operator Theory: Advances and Applications 254,
Birkhauser, 2016, pp. 119-132.
- M. Mantoiu:
Coorbit Spaces of Symbols for Square Integrable
Families of
Operators,
Math. Rep. 18 (2016), no. 1, 63-83.
- J. Mehringer:
On the
essential spectrum of two-dimensional Pauli operators with repulsive
potentials,
Ann. H. Poincaré 17 (2016), 733-755.
- Georgi Raikov:
Discrete
spectrum of Schroedinger operators with oscillating decaying potentials,
Journal of Mathematical Analysis and Applications, 438
(2016), 551-564.
- Georgi Raikov:
Spectral
asymptotics for waveguides with perturbed periodic twisting,
Journal of Spectral Theory, 6 (2016), 331-372.
- S. Richard, R. Tiedra de Aldecoa:
Resolvent expansions and continuity of the scattering
matrix at embedded thresholds: the case of quantum waveguides,
Bull. Soc. Math. France, 144 (2016), no. 2, 251-277.
- Diomba Sambou:
Counting Function of Magnetic Eigenvalues for Non-definite Sign
Perturbations,
in: Spectral Theory and Mathematical Physics, M.
Mantoiu, G. Raikov, and R. Tiedra editors,
Operator Theory: Advances and Applications 254,
Birkhauser, 2016, p.p. 205-221.
- Diomba Sambou:
Spectral analysis near the low ground energy of
magnetic Pauli operators,
C. R. Acad. Sci. Paris, Ser. I., 354 (2016), Issue 6,
606-610.
- Diomba Sambou:
Spectral
analysis near $\pm m$ for Dirac operators with complex potentials,
New York Journal of Mathematics, 22 (2016) 469-500.
- R. Tiedra de Aldecoa:
Commutator criteria for strong mixing,
Ergodic Theory Dynam. Systems, published on-line,
doi:10.1017/etds.2015.47.
- I. Beltita, D. Beltita, M. Mantoiu:
Symbol Calculus of Square-Integrable Operator-Value Map,
to appear in Rocky Mountain Journal of Mathematics.
- Rafael D. Benguria, Soledad Benguria:
An
improved bound for the non-existence of radial solutions of the
Brezis-Nirenberg problem in Hn,
to appear in: J. Dittrich, H. Kovarik, A. Laptev (Eds.): Functional
Analysis and Operator Theory for Quantum Physics,
A Festschrift in Honor of Pavel Exner, European Mathematical Society
Publishing House, Zurich, 2016.
- H. Bustos, M. Mantoiu:
Twisted
Pseudo-differential Operators on Type I Locally Compact Groups,
to appear in Illinois Journal of Mathematics.
- M. Mantoiu:
Essential
Spectrum and Fredholm Properties for Operators on Locally Compact Groups,
to appear in Journal of Operator Theory.
- Diomba Sambou:
On
eigenvalue accumulation for non-self-adjoint magnetic operators,
to appear in J. Math. Pures Appl.
- I. Beltita, D. Beltita, M. Mantoiu:
Quantization
and dequantization via square-integrable families of operators,
Preprint arXiv:1203.6347.
- Rafael D. Benguria, Soledad Benguria:
The
Brezis--Nirenberg Problem on $\mathbb{S}^n$, in spaces of fractional
dimension,
Preprint arXiv:1503.06347.
- Rafael D. Benguria, Soeren Fournais, Edgardo
Stockmeyer, Hanne Van Den Bosch:
Spectral
gaps of Dirac operators with boundary conditions relevant for graphene,
Preprint arXiv:1601.06607.
- R. Benguria, M. Loewe, R.A. Santos:
Considerations about Gribov ambiguities for the
abelian Higgs model in the presence of chemical potential and
temperature,
Preprint arXiv:0904.3364.
- Vincent Bruneau, Georgi Raikov:
Spectral
properties of harmonic Toeplitz operators and applications to the
perturbed Krein Laplacian,
Preprint arXiv:1609.08229.
- Dhriti Dolai, Anish Mallick:
Spectral
Statistics for one dimensional Anderson model with unbounded but
decaying potential,
Preprint arXiv:1602.02986.
- Werner Kirsch, Georgi Raikov:
Surface
Lifshits tails for random quantum Hamiltonians,
Preprint arXiv:1602.05123.
- M. Mantoiu:
Resolvent
Estimates and Smoothing for Homogeneous Operators on Graded Lie Groups,
Preprint arXiv:1608.07750.
- M. Mantoiu:
Spectral
Analysis for Perturbed Operators on Carnot Groups,
Preprint arXiv:1606.04810.
- M. Mantoiu:
A
Positive Quantization on Type I Locally Compact Groups,
Preprint arXiv:1512.01411.
- Marius Mantoiu, Michael Ruzhansky:
Pseudo-differential
operators, Wigner transform and Weyl systems on type I locally compact
groups,
Preprint arXiv:1506.05854.
- M. Mantoiu:
Quantization
Rules, Hilbert Algebras and Coorbit Spaces
for Families of Bounded Operators I. The Abstract Theory,
Preprint arXiv:1203.6347.
- M. Mantoiu:
Modulation and Hilbert space representations for
Rieffel's pseudodifferential calculus,
Preprint arXiv:1010.0411.
- S. Richard, R. Tiedra de Aldecoa:
Spectral
and scattering properties at thresholds for the Laplacian in a
half-space with a periodic boundary condition,
submitted.
- S. Richard, R. Tiedra de Aldecoa:
Commutator criteria for strong mixing II. More general
and simpler,
submitted.
- Diomba Sambou:
On the
existence of complex eigenvalues near the isolated essential spectrum,
Preprint arXiv:1408.2109.
- Diomba Sambou:
Counting
function of magnetic resonances for non-definite sign perturbations,
Preprint arXiv:1408.0533.
- Diomba Sambou:
Quantitative
bounds on the discrete spectrum of non self-adjoint quantum magnetic
Hamiltonians,
Preprint arXiv:1402.2265.
- Diomba Sambou:
Spectral
shift function and Resonances near the low ground state for Pauli and
Schroedinger operators,
Preprint arXiv:1506.05759.
- Diomba Sambou:
Eigenvalues
distribution for non-self-adjoint Pauli Hamiltonians near the low
ground state,
Preprint arXiv:1506.05756.
- Diomba Sambou, Amal Taarabt:
Eigenvalues
behaviours for self-adjoint Pauli operators with unsigned perturbations
and admissible magnetic fields,
Preprint arXiv:1608.00294.
- E. Stockmeyer and S. Wugalter:
Infinite
mass boundary conditions for Dirac operators,
Preprint arXiv:1603.09657.
- Amal Taarabt :
Equality
of bulk and edge Hall conductances for continuous magnetic random
Schroedinger operators,
Preprint arXiv:1403.7767.
- Rafael Tiedra de Aldecoa:
Spectral
properties of horocycle flows for surfaces of negative curvature,
Preprint arXiv:1506.06388.
- R. Tiedra de Aldecoa:
Degree,
mixing, and absolutely continuous spectrum of cocycles with values in
compact Lie groups,
submitted.
- Rafael D. Benguria, Rupert L. Frank, Elliott
H. Lieb:
Ground state energy of large polaron systems,
J. Math. Phys. 56 (2015), 021901, 16 pp.
- R. D. Benguria:
Density Functional Theory,
in: Bjorn Engquist editor-in-chief, Encyclopedia of Applied and
Computational Mathematics, vol. 1, pp. 345-351, Springer-Verlag,
Berlin, 2015.
- Rafael D. Benguria, Hanne Van Den Bosch:
A
criterion for the existence of zero modes for the Pauli operator with
fastly decaying fields,
J. Math. Phys. 56 (2015), 052104, 7 pp.
- Victor Castillo-Garate, Eduardo Friedman, Marius
Mantoiu:
The
multiplicative anomaly of three or more commuting elliptic operators,
Mathematics Research Letters 22 (2015), 665-673.
- M. C. Depassier:
Speed
of field driven domain walls in nanowires with large transverse
magnetic anisotropy,
EPL 111 (2015), 27005.
- T. Lungenstrass, G. D. Raikov:
Local
spectral asymptotics for metric perturbations of the Landau Hamiltonian,
Analysis and PDE 8 (2015),
1237-1262.
- 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 K_nig, and Hagen Neidhardt editors, World
Scientific (2015), 31-46.
- Marius Mantoiu:
Symmetry
and Inverse Closedness for Some Banach *-Algebras Associated to
Discrete Groups,
Banach Journal of Mathematical Analysis, 9 (2015),
289-310.
- J. Mehringer, E. Stockmeyer:
Ballistic
dynamics of Dirac particles in electro-magnetic fields,
J. London Math. Soc. (2) 92 (2015) 465-482.
- R. Tiedra de Aldecoa:
Commutator methods for the spectral analysis of
uniquely ergodic dynamical systems,
Ergodic Theory Dynam. Systems 35 (2015), 944-967.
- R. Tiedra de Aldecoa:
The
absolute continuous spectrum of skew products of compact Lie groups,
Israel J. Math. 208 (2015), no. 1, 323-350.
- R. D. Benguria:
ICMP2015 Approaching,
IAMP News Bulletin, April 2015, pp.
3-4.
- R. D. Benguria:
Ciencia en Chile en cinco momentos,
Anales de la Universidad
de Chile, no. 8 (2015), pp. 12-22.
- R. D. Benguria:
The XVIIIth International Congress on Mathematical
Physics,
IAMP News Bulletin, October 2015, pp. 6-7.
- R. D. Benguria:
Maxwell 150, a celebration in the Intenational Year of
Light,
IAMP News Bulletin, October 2015, pp. 15-25.
- I. Beltita, M. Mantoiu:
Rieffel
deformation and twisted crossed products,
Int. Math. Res. Notices 2014 (2014), 551-567.
- R. D. Benguria:
The Centenary of Mark Kac (1914-2014),
IAMP News Bulletin, July 2014, pp. 5-18.
- R. D. Benguria and M. C. Depassier:
Shift
in the speed of reaction diffusion equation with a cut-off: Pushed and
bistable fronts,
Physica D 280 (2014), 38-43.
- Jean-Francois Bony, Vincent Bruneau, Georgi Raikov:
Counting function of characteristic values and
magnetic resonances,
Commun. PDE 39 (2014), 274-305.
- Jean-Francois Bony, Vincent Bruneau, Georgi Raikov:
Resonances
and spectral shift function singularities for magnetic quantum
Hamiltonians,
in the Proceedings of the Conference Spectral and Scattering Theory and
Related Topics,
RIMS, Kyoto, Japan, 14 - 17 December 2011, RIMS Kokyuroku Bessatsu B45
(2014), 77-100.
- Ph. Briet, H. Kovarik, G. Raikov:
Scattering
in twisted waveguides,
Journal of Functional Analysis 266 (2014), 1-35.
- Vincent Bruneau, Pablo Miranda, Georgi Raikov:
Dirichlet
and Neumann eigenvalues for half-plane magnetic Hamiltonians,
Reviews in Mathematical Physics 26 (2014) 1450003 (23
pages).
- M C. Depassier:
Comment on "Domain Wall Motion in Thin Ferromagnetic
Nanotubes: Analytic Results",
EPL 108 (2014), 37008.
- J. Garc�a, M. Mantoiu:
Localization
results for zero order pseudodifferential operators,
Journal of Pseudodifferential Operators and Applications 5
(2014) 255-276.
- Tomas Lungenstrass, Georgi Raikov:
A
Trace Formula for Long-Range Perturbations of the Landau Hamiltonian,
Ann. H. Poincar� 15 (2014), 1523-1548.
- M. Mantoiu, D. Parra:
Compactness
Criteria for Sets and Operators in the Setting of Continuous Frames,
Banach J. Math. Anal. 8 (2014), no. 2, 30-48.
- M. Mantoiu, R. Purice:
On
Fr�chet-Hilbert Algebras,
Arkiv der Mathematik, vol. 103 (2014), no. 2,
157-166.
- J. Mehringer, E. Stockmeyer:
Confinement-deconfinement
transitions for two-dimensional Dirac particles,
Journal of Functional Analysis 266 (2014), 2225-2250.
- D. Sambou:
Lieb-Thirring
type inequalities for non-self-adjoint perturbations of magnetic
Schroedinger operators,
Journal of Functional Analysis 266 (2014) 5016-5044.
- M. Tusek:
Atoms
confined by very thin layers,
Journal of Mathematical Physics 55 (2014), 112105 (17
pages).
- F. Belmonte, M. Lein, M. Mantoiu:
Magnetic
twisted actions on general abelian C*-algebras,
Journal of Operator Theory 69 (2013), 33-58.
- Rafael D. Benguria and Benjamin Loewe:
Stability of matter, in: Complex Quantum Systems,
Analysis of large Coulomb Systems, Lecture Notes Series, IMS, NUS,
H. Siedentop Ed., World Scientific, Singapore, 2013, pp. 1-60.
- Rafael D. Benguria:
Density Functional Theory, in: Encyclopedia of Applied and
Computational Mathematics,
B. Engquist Ed., Springer-Verlag Berlin Heidelberg 2013.
- O. Bourget:
On embedded bound states of unitary operators and their regularity,
Bull. Sci. Math. 137 (2013), no. 1, 1-29.
- Francisco Diaz y Diaz and Eduardo Friedman:
Signed fundamental domains for totally real number
fields,
Proceedings of the London Mathematical Society (2013),
doi:10.1112/plms/pdt025.
- C. Fern�ndez, S. Richard, R. Tiedra de Aldecoa:
Commutator methods for unitary operators,
Journal of Spectral Theory, 3 (2013), no. 3, 271-292.
- M. Mantoiu:
On the essential spectrum of phase-space anisotropic
pseudodifferential operators,
Mathematical Proceedings of the Cambridge Philosophical Society 154
(2013), 29-39.
- 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.
- A. Pushnitski, G. Raikov, C. 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.
- S. Richard, R. Tiedra de Aldecoa:
Spectral analysis and time-dependent scattering theory
on manifolds with asymptotically cylindrical ends,
Reviews in Mathematical Physics
25, No 2 (2013), 1350003 (40 pp.).
- S. Richard, R. Tiedra de Aldecoa:
New expressions for the wave operators of Schroedinger
operators in R^3,
Lett. Math. Phys. 103 (2013), 1207-1221.
- S. Richard, R. Tiedra de Aldecoa:
Explicit formulas for the Schroedinger wave operators
in R^2,
C. R. Acad. Sci. Paris, Ser. I 351 (2013), no. 5,
209-214.
- S. Richard, R. Tiedra de Aldecoa:
A few results on Mourre theory in a two-Hilbert spaces
setting,
Anal. Math. Phys. 3 (2013), no. 2, 83-200
Publications 2012:
- J. Asch, O. Bourget, A. Joye:
Dynamical localization of the Chalker-Coddington
model far from transition,
J. Stat. Phys. 147 (2012), 194–205.
- J. Asch, O. Bourget, V. Cortés and C.
Fernández:
Remarks on sojourn time estimates for periodic
time-dependent quantum systems,
in: Spectral Analysis of Quantum Hamiltonians, Operator Theory:
Advances and Applications, 224, 2012,
Birkhäuser, 1-10.
- F. Belmonte, M. Mantoiu:
Continuity of spectra in Rieffel’s pseudodifferential calculus,
in: Spectral Analysis of Quantum Hamiltonians, Operator Theory:
Advances and Applications, 224, 2012,
Birkhäuser, 11-24.
- R. D. Benguria:
A
Centennial of Rutherford's Atom,
International Association of Mathematical Physics (IAMP) News Bulletin,
January 2012, pp. 4-10.
- R.D. Benguria:
Stability of matter,
in: Spectral Analysis of Quantum Hamiltonians, Operator Theory:
Advances and Applications, 224, 2012,
Birkhäuser, 25-54.
- R. D. Benguria, G.A. Bley:
Improved
Results on the No-binding of Bipolarons,
J. Phys. A: Math. Theor. 45 (2012), 045205.
- Rafael D. Benguria, Gonzalo Bley,
Michael Loss:
A new estimate on the indirect Coulomb Energy,
International Journal of Quantum Chemistry 112
(2012), 1579–1584.
- R. D. Benguria, H. Linde, B. Loewe:
Isoperimetric
Inequalities for Eigenvalues of the
Laplacian and the Schrödinger Operator,
Bulletin of Mathematical Sciences, 2 (2012), 1-56.
- Victor Castillo-Garate, Eduardo
Friedman:
Discrepancies of products of zeta-regularized products,
Mathematical Research Letters 19 (1012), 199–212.
- Eduardo Friedman, Francisco Diaz y Diaz:
Colmez cones for fundamental units of totally real
cubic fields,
Journal of Number Theory, 132 (2012), Issue 8,
1653-1663.
- Eduardo Friedman, Aldo Pereira:
Special values of Dirichlet series and zeta integrals,
International Journal of Number Theory 8 (2012),
697-714.
- A. Gournay, R. Tiedra de Aldecoa:
A formula relating sojourn times to the time of
arrival in Hamiltonian dynamics,
J. Phys. A: Math. Theor. 45, 215204, 23 pp.
- S. Richard, R. Tiedra de Aldecoa:
Time delay is a common feature of quantum scattering
theory,
J. Math. Anal. Appl. 387 (2012), no. 2, 618–630.
- S. Richard, R. Tiedra de Aldecoa:
A new formula relating localisation operators to time
operators,
in: Spectral Analysis of Quantum Hamiltonians, Operator Theory:
Advances and Applications, 224, 2012,
Birkhäuser, 301-338.
To appear:
- F. Belmonte, M. Lein, M. Mantoiu:
Magnetic twisted actions on general abelian C*-algebras,
to appear in Journal of Operator Theory.
- Rafael D. Benguria, Pablo Gallegos, Matej
Tusek:
A New Estimate on the Two-Dimensional Indirect Coulomb
Energy,
to appear in Annales Henri Poincaré.
- C. Fernández, S. Richard, R. Tiedra de Aldecoa:
Commutator methods for unitary operators,
to appear in J. Spectr. Theory.
- M. Mantoiu:
Rieffels pseudodifferential calculus and spectral
analysis of quantum Hamiltonians,
to appear in Annales de l'Institut
Fourier.
- M. Mantoiu:
On the Essential Spectrum of Phase-Space Anisotropic
Pseudodifferential Operators,
to appear in Mathematical Proceedings of the Cambridge Philosophical
Society.
- M. Mantoiu, R. Purice:
Abstract Moyal Algebras and their Modulation
Mappings,
to appear in J. Pseudodif. Op. Appl. 3 (2012),
on-line first.
- P. Miranda, G. Raikov:
Discrete spectrum of quantum Hall effect Hamiltonians
II. Periodic edge potential,
To appear in Asymptotic Analysis.
- Alexander Pushnitski, Georgi Raikov, Carlos
Villegas-Blas:
Asymptotic Density of Eigenvalue Clusters for the Perturbed Landau
Hamiltonian,
to appear in Communications in Mathematical Physics.
Preprints:
- F. Belmonte, M. Mantoiu:
Covariant Fields of C*-Algebras and Continuity of
Spectra in Rieffel's Pseudodifferential Calculus,
Preprint arXiv:1101.2751
- Rafael D. Benguria, M. Cristina Depassier,
Michael Loss:
Rigorous results for the speed of
Kolmogorov--Petrovskii--Piscounov fronts with a cutoff,
submitted, preprint arXiv:1010.3044
- R. Benguria, M. Loewe, R.A. Santos:
Considerations about Gribov ambiguities for the
abelian Higgs model in the presence of chemical potential and
temperature,
Preprint arXiv:0904.3364.
- Jean-Francois Bony, Vincent Bruneau, Georgi Raikov:
Resonances
and spectral shift function singularities for magnetic quantum
Hamiltonians,
Preprint arXiv:1205.3362.
- Jean-Francois Bony, Vincent Bruneau, Georgi Raikov:
Counting function of characteristic values and
magnetic resonances,
Preprint arXiv:1109.3985.
- Ph. Briet, H. Kovarik, G. Raikov:
Scattering in twisted waveguides,
Preprint arXiv:1109.2111.
- Antoine Gournay and Rafael Tiedra de Aldecoa:
Time delay and Calabi invariant in classical
scattering theory,
Mp_Arc Preprint 11-189.
- M. Mantoiu:
Modulation and Hilbert Space Representations for
Rieffel's Pseudodifferential Calculus,
Preprint arXiv:1010.0411.
- M. Mantoiu:
Quantization
Rules, Hilbert Algebras and Coorbit Spaces
for Families of Bounded Operators I. The Abstract Theory,
preprint arXiv:1203.6347
- M. Mantoiu, R. Purice:
Abstract composition laws and their modulation spaces,
Preprint arXiv:1107.3344.
- S. Richard, R. Tiedra de Aldecoa:
A few results on Mourre theory in a two-Hilbert spaces
setting,
Preprint mp_arc 11-54.
- S. Richard, R. Tiedra de Aldecoa:
Spectral analysis and time-dependent scattering theory
on manifolds with asymptotically cylindrical ends,
submitted.
- R. Tiedra de Aldecoa:
Spectral analysis of time changes of horocycle flows,
preprint.
Publications 2011:
- F. Belmonte:
Equivariant
families of pseudodifferential operators coming from deformation
quantization and covariant fields of Rieffel C*-algebras,
Doctoral thesis defended at the Faculty of Sciences, University of
Chile, on May 17, 2011.
- R. D. Benguria:
Los
Átomos: La Fantástica Historia de su Descubrimiento,
en
Temporalidad, Interacción y Dinamismo Cultural: La
búsqueda del hombre;
homenaje al Profesor Dr. Lautaro Núñez Atencio, A.
Hubert, J. A.
González, M. Pereira (Eds.), pp. 503-515, Universidad
Católica del
Norte, Ediciones Universitarias, Antofagasta, 2011.
- R. D. Benguria:
Spectral
Problems in Spaces of Constant Curvature,
in: Mathematical Results in Quantum Physics, Proceedings of the Qmath11
Conference, September 6-10, 2010; World Scientific, Singapore (2011)
P. Exner, Ed., pp. 131-137.
- R. D. Benguria:
Isoperimetric
Inequalities for Eigenvalues of the Laplacian,
in Isoperimetric inequalities, Random Matrices, Boltzmann's equation,
and Random Schrödinger operators,
Proceedings of the Arizona School of Analysis with Applications
University of Arizona, Tucson, Monday 15 - Friday 19 March 2010, (R.
Sims, and D. Ueltschi, Eds.),
Contemporary Mathematics 552, 21-60 (2011).
- Rafael D. Benguria, Gonzalo Bley:
Exact asymptotic behavior of the Pekar-Tomasevich
functional,
J. Math. Phys., 52 (2011), 052110 (7pp).
- 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.
- M. Mantoiu, R. Purice, S. Richard:
Coherent states in the presence of a variable magnetic
field,
International Journal of Geometric Methods in Modern Physics 8
(2011), 187 - 202.
- M. Mantoiu, R. Purice, S. Richard:
Positive Quantization in the Presence of a Variable
Magnetic Field,
J. Math. Phys. 52 (2011), 112101 (15pp).
- P. Miranda:
Spectral properties
of magnetic quantum Hamiltonians,
Doctoral thesis defended at the Faculty of Sciences, University of
Chile, on May 18, 2011.
- R. Tiedra de Aldecoa:
Métodos a conmutadores en teoría espectral y
teoría del scattering,
Joven Matemático, 2
(2011), 36-42.
- R. Tiedra de Aldecoa:
Asymptotics near +-m of the spectral shift function
for Dirac operators with non-constant magnetic fields,
Communications in Partial Differential Equations, 36
(2011), 10-41.
Publications 2010:
- J. Asch, O. Bourget, A. Joye:
Localization properties of the Chalker-Coddington model,
Ann. H. Poincaré, 11 (2010), 7, 1341-1373.
- M. S. Ashbaugh, R. D. Benguria:
El problema de la Reina Dido: panorama sobre los problemas de la
isoperimetría,
Revista
Joven Matemático, 1 (2010), 3-8; [English
translation]; [French
translation (by J. Fleckinger-Pellé)].
- N. Athmouni, M. Mantoiu, R. Purice:
On the continuity of spectra for families of magnetic
pseudodifferential operators,
J. Math. Phys. 51 (2010), 083517 (15 pp).
- M. Beau, R. Benguria, R. Brummelhuis, P.
Duclos:
H2 molecule in strong magnetic fields,
J. Phys. A: Math. Theor. 43 (2010) 474005 (16pp).
- Rafael D. Benguria, Pierre Duclos, Claudio
Fernández, Carlos Sing-Long:
A nonlinear ordinary differential equation associated
with the quantum sojourn time,
J. Phys. A: Math. Theor. 43 (2010) 474007 (15pp).
- 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).
- E. Friedman:
On the integro-differential equation satisfied by the
$p$p -adic log $\Gamma$G -function,
Comment. Math. Helv. 85 (2010), 535–549.
- V. Iftimie, M. Mantoiu, R. Purice:
Commutator criteria for magnetic pseudodifferential
operators,
Commun. PDE, 35, (6), 2010, 1058-1094.
- V. Iftimie, M. Mantoiu, R. Purice:
Unicity of the integrated density of states for
relativistic
Schroedinger operators with regular fields and singular electric
potentials,
Integral Equations and Operator Theory, 67 (2010),
215-246.
- M. Lein, M. Mantoiu, S. Richard:
Magnetic pseudodifferential operators with
coefficients in C*-algebras,
Publ.
Res. Inst. Math. Sci., 46 (2010), 741-754.
- M. Mantoiu, R. Purice:
The modulation mapping for magnetic symbols and
operators,
Proc. Amer. Math. Soc., 138 (2010), 2839-2852.
- M. Mantoiu, R. Purice, Serge Richard:
Coherent states in the presence of a variable magnetic
field,
to appear in International Journal of Geometric Methods in Modern
Physics.
- 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.
- S. Richard, R. Tiedra de Aldecoa:
New formulae for the wave operators for a rank one
interaction,
Integral Equations and Operator Theory 66 (2010), no.
21, 283-292.
Publications 2009:
- R. Benguria, J. Dolbeault, R. Monneau:
Harnack inequalities and discrete-continuous error
estimates for a chain of atoms with two-body interactions,
J. Stat. Phys. 134 (2009), no. 1, 27-51.
- R. Benguria, M. Levitin, L. Parnovski:
Fourier transform, null variety, and Laplacian's
eigenvalues,
J. Funct. Anal. 257 (2009), no. 7, 2088-2123.
- J.-F. Bony, Ph. Briet, V. Bruneau, G. Raikov:
Resonances
and SSF singularities for magnetic Schrödinger operators,
Cubo
11, no 5 (2009), 23-38.
- O. Bourget, C. Fernandez:
Absence of Singular Spectrum for some time-periodic magnetic systems,
in "Spectral and Scattering Theory for Quantum Magnetic Systems", P.
Briet, F. Germinet and G. Raikov eds.,
Contemporary Mathematics 500 (2009) AMS, pp 25-32.
- 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.
- Ph. Briet, H. Kovarik, G. Raikov, E. Soccorsi:
Eigenvalue
asymptotics in a twisted waveguide,
Commun. P.D.E., 34
(2009), 818 – 836.
- 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.
- V. Iftimie, M. Mantoiu, R. Purice:
The magnetic formalism; new results,
Contemporary Mathematics 500 (2009), American
Mathematical
Society, pp. 123 – 138.
- F. Klopp, G. D. Raikov:
The fate of the Landau levels
under perturbations of constant sign,
Int. Math. Res.
Notices 2009 (2009), 4726-4734.
- M. Mantoiu, S. Richard, R. Tiedra de
Aldecoa:
The method of the weakly conjugate operator:
Extensions and applications to operators on graphs and groups,
with Petroleum - Gas University of Ploiesti Bulletin, Mathematics -
informatics - physics Series LXI (2009), no. 1, 31-42.
- R. Tiedra de Aldecoa:
Time delay for dispersive systems in quantum
scattering theory,
Rev. Math. Phys. 21 (2009), no. 5, 675-708.