ARTICLES and REFEREED PROCEEDINGS:
1. (with Nenciu G.): On eigenfunction decay of two dimensional magnetic Schrödinger operators. Commun. Math. Phys. 192, 671-685 (1998)
2. Cornean, H.D.: On the essential spectrum of two dimensional periodic magnetic Schrödinger operators. Lett. Math. Phys. 49, 197-211 (1999)
3. (with Nenciu G.) : Two dimensional magnetic Schrödinger
operators: width of mini-bands in the tight-binding approximation.
Ann. Henri Poincaré 1, 203-222 (2000)
4. Cornean, H.D.: On the magnetization of a charged Bose gas in the canonical ensemble. Commun. Math. Phys. 212, 1-27 (2000)
5. (with Briet, P.): Locating the spectrum for magnetic Dirac and Schroedinger operators. Commun. P.D.E. 27, 1079-1101 (2002)
6. (with Bisgaard, T.M.): Nonexistence in general of a definitizing
ideal of the desired codimension. Positivity 7, 297-302 (2003)
7. Cornean, H.D.: Magnetic response in ideal quantum gases:
the thermodynamic limit. Markov Proc. Related Fields
9, 547-566 (2003)
8. (with Beltita, I.): On a theorem of Arne Persson.
CUBO 6 (2), 1-14 (2004)
9. (with Duclos, P., Pedersen, T.G.):
One dimensional models of excitons in carbon nanotubes.
Few-Body Systems 34, 155-161 (2004)
10. (with Briet, Ph., Zagrebnov, V.A.):
Do bosons condense in a homogeneous magnetic field?
J. Statist. Phys. 116 (5), 1545-1578 (2004)
11. (with Pedersen, T.G., Pedersen, K., Duclos, P.):
Stability and signatures of biexcitons in carbon nanotubes.
Nano Letters , 5 (2), 291--294 (2005);
12. (with Jensen, A., Moldoveanu, V.):
A rigorous proof of the Landauer-Buttiker formula. J. Math. Phys., 46 042106, 28 pp,
(2005)
13. (with Briet, Ph., Louis, D.): Generalized susceptibilities
for a perfect quantum gas. Markov Proc. Related Fields, 11,
177--188 (2005);
14. (with Knudsen, K.): Reconstruction from one boundary measurement of a potential homogeneous of degree zero.
J. Inverse Ill-Posed Probl., 13 (5), 413--425 (2005);
15. (with Nenciu, G., Pedersen, T.G.):
The Faraday effect revisited: General theory .
J. Math. Phys. 47, 013511 (2006) (23 pp)
16. (with Knudsen, K., Siltanen, S.): Towards a d-bar reconstruction method for three-dimensional EIT.
J. Inverse Ill-Posed Probl. 14 (2), 111--134 (2006)
17. (with Duclos, P., Ricaud, B.): On critical stability of three quantum charges interacting through delta potentials.
Few-Body Systems 38 (2-4), 125--131 (2006)
18. (with Briet, Ph., Louis, D.): Diamagnetic expansions for
perfect quantum gases. J. Math. Phys. 47, 083511 (2006) (25 pp)
19. (with Jensen, A., Moldoveanu, V.):
The Landauer-Buttiker formula and resonant quantum transport.
Selected and Refereed Lectures from QMath9.
Lecture Notes in Physics vol. 690 (2006).
20. (with Duclos, P., Ricaud, B.):
Effective models for excitons in carbon nanotubes.
Ann. Henri Poincaré 8 (1), 135-163 (2007)
21. (with Pedersen, T.G.):
Optical second harmonic generation from Wannier excitons. Europhysics Letters
78, 27005 (2007)
22. (with Herbst, I., Skibsted, E.):
Spiraling attractors and quantum dynamics for a class of long-range magnetic fields.
J. Funct. Anal. 247 (1), 1-94 (2007)
23. (with Pedersen, T.G., Ricaud, B.):
Rigorous perturbation theory versus variational methods
in the spectral study of carbon nanotubes. Contemporary Mathematics 447:
"Adventures in Mathematical Physics". Editors: F. Germinet and P. D. Hislop, 2007.
24. (with Duclos, P., Ricaud, B.):
On the skeleton method and an application to a quantum scissor
Proceedings of Symposia in Pure Mathematics :
"Analysis on Graphs and its Applications". Editors:
P. Exner, J. Keating, P. Kuchment, T. Sunada, and A. Teplyaev (2008).
25. (with Nenciu, A., Nenciu, G.):
Optimally localized Wannier functions for quasi one-dimensional nonperiodic insulators.
J. Phys. A.:
Math. Theor. 41, 125202 (2008)
26. (with Briet, Ph., Louis, D.):
Diamagnetic expansions for
perfect quantum gases II: uniform bounds. Asymptotic Analysis 59 (1-2), 109-123 (2008)
27. (with Hoke, K., Neidhardt, H., Racec, P., Rehberg, J.):
A Kohn-Sham system at zero temperature.
J. Phys. A.: Math. Theor. 41, 385304 (2008)
28. (with Duclos, P., Nenciu, G., Purice, R.):
Adiabatically switched-on electrical bias
and the Landauer-Buttiker formula. J. Math. Phys. 49, 102106 (2008) (20 pp)
29. (with Neidhardt, H., Zagrebnov, V.A.):
The effect of time-dependent coupling on
non-equilibrium steady states. Ann. Henri Poincaré 10 (1), 61-93 (2009).
30. (with Rønnow, T., Pedersen, T.G.):
Stability of singlet and triplet trions in carbon nanotubes . Physics Letters A. 373 (16), 1478-1481 (2009).
31. (with Derezinski, J., Zin, P.):
On the Infimum
of the Energy-Momentum Spectrum of a Homogeneous Bose Gas. J. Math. Phys. 50 , 062103
(2009) (50pp)
32. (with Nenciu, G.):
The Faraday effect revisited:
Thermodynamic limit. J. Funct. Anal. 257 (7), 2024-2066 (2009)
33. (with Nenciu, G.):
The Faraday effect revisited: sum rules and convergence issues.
J. Phys. A: Math. Theor. 43, 474012 (2010)
34. (with Briet, P., Savoie, B.):
Diamagnetism of quantum gases with singular potentials.
J. Phys. A: Math. Theor. 43, 474008 (2010)
35. (with Rønnow, T., Pedersen, T.G.):
Correlation and dimensional effects of trions in carbon nanotubes.
Phys. Rev. B. 81, 205446 (2010)
36. Cornean, H.D.:
On the Lipschitz continuity of spectral bands of Harper-like
and magnetic Schroedinger operators.
Ann. Henri Poincaré 11, 973-990 (2010)
37. (with Gianesello, C., Zagrebnov, V.):
A partition-free approach to transient and steady-state charge
currents.
J. Phys. A: Math. Theor. 43, 474011 (2010)
38. (with Rønnow, T., Pedersen, T.G.):
Dimensional and correlation effects of charged excitons in low-dimensional semiconductors.
J. Phys. A: Math. Theor. 43, 474031 (2010)
39. (with Bentosela, F., Fleury, B., Marchetti, N.):
On the transfer matrix of a MIMO system.
Math. Meth. Appl. Sci. 34 (8), 963-976 (2011)
40. (with Marchetti, N., Kumar, S.): Power Consumption Optimization Strategy for Wireless Networks.
Wireless Personal Communications 59 (3), 487-498 (2011)
41. (with Rønnow, T., Pedersen, T.G.):
Optical absorption of charged excitons in semiconducting carbon nanotubes.
Physica E (2011)
42. (with Moldoveanu, V.):
On the cotunneling regime of interacting quantum dots.
J. Phys. A: Math. Theor. 44 305002 (2011)
43. (with Moldoveanu, V., Pillet, C.-A.):
Non-equilibrium
steady-states for interacting open systems: exact results.
Phys. Rev. B. 84 075464 (2011)
44. (with Briet, P., Savoie, B.):
A rigorous proof of the Landau-Peierls formula and much more.
Ann. H. Poincaré 13(1), 1-40 (2012)
45. (with Duclos, P., Purice, R.):
Adiabatic Non-Equilibrium Steady States in the Partition Free Approach.
Ann. Henri Poincaré 13(4), 827-856 (2012)
46. (with Purice, R.):
On the Regularity of the Hausdorff Distance Between Spectra of Perturbed Magnetic Hamiltonians.
Operator Theory: Advances and Applications 224, 55-66 (2012)
47. (with Brynildsen, M.H., Pedersen, J.G., Pedersen, T.G.):
Optical Hall conductivity in bulk and nanostructured graphene beyond
the Dirac approximation. Phys. Rev. B. 86(23), 235438 (2012)
48. (with Bentosela, F., Marchetti, N.):
MIMO capacity for deterministic channel models: sublinear growth.
Math. Meth. Appl. Sci. 36(1), 18-27 (2013)
49. (with Brynildsen, M.H.):
On the Verdet constant and Faraday rotation for graphene-like materials.
Rev. Math. Phys. 25(4), 1350007 (28 pages), (2013)
50. (with Fournais, S., Frank, R.L., and Helffer, B.):
Sharp trace asymptotics for a class of 2D-magnetic operators.
Ann. Inst. Fourier 63(6), 2457-2513 (2013)
51. (with Neidhardt, H., , Wilhelm, L., and Zagrebnov, V.A.):
The Cayley transform applied to non-interacting quantum transport. J. Funct. Anal. 266,
1421-1475 (2014)
52. (with Bentosela, F., and Marchetti, N.):
Influence of environment richness on the increase of MIMO capacity with number of antennas.
IEEE Transactions on Antennas and Propagation 62(7), 3786-3796 (2014)
53. (with Moldoveanu, V., and Pillet, C.-A.):
On the steady state correlation functions of open interacting systems.
Commun. Math. Phys. 331(1), 261-295 (2014)
54. (with Jensen, A. and Nenciu, G.):
Memory effects in non-interacting mesoscopic transport.
Ann. H. Poincaré 15(10), 1919-1943 (2014)
55. (with Jensen, A. and Nenciu, G.):
Metastable states when the Fermi Golden Rule constant vanishes.
Commun. Math. Phys. 334(3), 1189-1218 (2015)
56. (with Purice, R.):
Spectral edge regularity of magnetic Hamiltonians.
J. London Math. Soc. 92(1), 89-104 (2015)
57. (with Herbst, I. and Nenciu, G.):
On the construction of composite Wannier functions.
Ann. Henri Poincaré 17(12), 3361-3398 (2016)
58. (with Bentosela, F., Farhang, A., and Marchetti, N.):
On the Sublinear Behavior of Massive Multi User MIMO Sum Rate for Deterministic
Channel Models.
IEEE Transactions on Communications 64(10), 4209-4223 (2016)
59. (with Monaco, D., and Teufel, S.):
Wannier functions and Z2 invariants in time-reversal symmetric topological insulators.
Rev. Math. Phys. 29(2), 1730001 (2017)
60. (with Helffer, B., and Purice, R.):
Low lying spectral gaps induced by slowly varying magnetic fields.
J. Funct. Anal. 273(1), 206-282 (2017)
61. (with Have, J., Kovarik, H., and Pedersen, T.G.):
On the existence of impurity bound excitons in one-dimensional systems with zero range interactions.
J. Math. Phys. 58 052106 (2017)
62. (with Monaco, D.):
On the construction of Wannier functions in topological insulators: the 3D case.
Ann. H. Poincaré 18(12), 3863--3902 (2017)
63. (with Barbaroux J.-M., and Stockmeyer, E.):
Spectral gaps in graphene antidot lattices.
Integr. Equ. Oper. Theory 89(4), 631--646 (2017)
64. (with Moldoveanu, V., and Pillet, C.-A.):
A mathematical account of the NEGF formalism.
Ann. H. Poincaré 19(2), 411--442 (2018)
65. (with Jensen, A., Knörr, H.K., and Nenciu, G.):
On the adiabatic theorem when eigenvalues dive into the continuum.
Rev. Math. Phys. 30(5) 1850011, (2018)
66. (with Helffer, B., and Purice, R.):
A Beals criterion for magnetic pseudodifferential operators proved with magnetic Gabor frames.
Commun. Part. Diff. Eq. 3(8), 1196--1204 (2018)
67. (with Iftimie, V., and Purice, R.):
Peierls' substitution via minimal coupling and magnetic pseudo-differential calculus.
Rev. Math. Phys. 31(3) 1950008 (34 pages), (2019)
68. (with Gontier, D., Levitt, A., and Monaco, D.):
Localised Wannier functions in metallic systems.
Ann. H. Poincaré 20(4), 1367--1391 (2019)
69. (with Michelangeli, A., and Yajima, K.): Two-dimensional Schrödinger operators with point interactions: Threshold expansions, zero modes and Lp -boundedness of wave operators Rev. Math. Phys. 31(4), 1950012 (2019)
69'. (with Michelangeli, A., and Yajima, K.):
Erratum: Two Dimensional Schrödinger Operators with
Point Interactions: Threshold Expansions,
Zero Modes and Lp-Boundedness of wave Operators. It corrects a very wrong lemma, but the main result is correct:)
70. (with Garde, H., Støttrup, B., and Sørensen, K.S.):
Magnetic pseudodifferential operators
represented as generalized Hofstadter-like matrices. J. Pseudo Diff. Op. and Appl. 10(2), 307-336 (2019)
71. (with Barbaroux J.-M., Le Treust, L., and Stockmeyer, E.): Resolvent convergence to Dirac operators on planar domains. Ann. H. Poincaré 20(6), 1877-1891 (2019)
72. (with Barbaroux J.-M., and Zalczer, S.):
Localization for gapped Dirac Hamiltionians with random perturbations:
Application to graphene antidot lattices. Documenta Mathematica 24, 65-93 (2019)
73. (with Moldoveanu, V., and Pillet, C.-A.):
A Dyson Equation for Non-Equilibrium Green's
Functions in the Partition-Free
Setting.
Physica Status Solidi (b) 256(7), 1800447 (2019)
74. (with Bellissard, J., and Beckus, S):
Hölder Continuity of the Spectra for Aperiodic Hamiltonians.
Ann. H. Poincaré 20(11), 3603--3631 (2019)
75. (with Monaco, D., and Moscolari, M.):
Parseval frames of exponentially localized magnetic Wannier functions.
Commun. Math. Phys. 371(3), 1179--1230 (2019)
76. (with Helffer, B., and Purice, R.):
Peierls' substitution for low lying spectral energy windows.
J. Spec. Th. 9(4), 1179-1222 (2019)
77. (with Kovarik, H., and Pedersen, T.G.):
Impurity-bound excitons in one and two dimensions.
J. Spec. Th. 10(3), 1103-1138 (2020)
78. (with Støttrup, B.B., and Sorokin, S.):
A rigorous approach to optimal profile design for acoustic black holes.
J. Acoust. Soc. Am. 149(1), 447–456 (2021)
79. (with Jensen, A., and Garde, H.):
Norm resolvent convergence of discretized Fourier multipliers.
J. Fourier Anal. Appl. 27, article number 71, (31 pp) (2021)
80. (with Helffer, B., and Purice, R.):
Spectral analysis near a Dirac type crossing in a weak non-constant magnetic field.
Trans. Amer. Math. Soc. 374(10), 7041-7104 (2021)
81. (with Monaco, D., and Moscolari, M.):
Beyond Diophantine Wannier diagrams: Gap labelling for Bloch-Landau Hamiltonians.
J. Eur. Math. Soc. 23(11), 3679-3705 (2021)
82. (with Pedersen, T.G., Krejcirik, D., Raymond, N., and Stockmeyer, E.):
Stark-localization as a probe of nanostructure geometry.
New J. Phys. 24, 093005 (2022)
83. (with Pedersen, T.G., Krejcirik, D., Raymond, N., and Stockmeyer, E.):
On the Two-Dimensional Quantum Confined Stark Effect in Strong Electric Fields.
SIAM Math. Anal. 54(2), 2114-2127 (2022)
84. (with Pedersen, T.G.):
Enhanced Stark effect in Dirac materials.
J. Phys.: Condens. Matter 34 435301 (2022)
85. (with Herbst, I.W., Møller, J., Sørensen, K.S., and Støttrup, B.):
Characterization of random variables with stationary digits.
J. Appl. Prob. 59(4), 931-947 (2022)
86. (with Jensen, A., and Garde, H.):
Discrete approximations to Dirac operators and norm resolvent convergence.
J. Spec. Th. 12(4), 1589–1622 (2022)
87. (with Moscolari, M., and Sørensen, K.S.):
Bulk–edge correspondence for unbounded Dirac–Landau operators.
J. Math. Phys. 64(4), 021902 (2023)
88. (with Herbst, I.W., Møller, J., Sørensen, K.S., and Støttrup, B.):
Singular Distribution Functions for Random Variables with Stationary Digits.
Methodol. Comput. Appl. Probab. 25, article number 31 (2023)
89. (with Sorokin, S., and Sørensen, K.S.):
Optimal profile design for acoustic black holes using Timoshenko beam theory.
J. Acoust. Soc. Am. 153(3), 1554-1563 (2023)
90. (with Sauer, M.O., Taghizadeh, A., Petralanda, U., Ovesen, M., Thygesen, K.S., Olsen, T., and Pedersen T.G.):
Shift current photovoltaic efficiency of 2D materials.
npj Comput. Mater. 9 35, (2023)
91. (with Jensen, A., and Garde, H.):
Discrete approximations to Dirichlet and Neumann Laplacians on a half-space and norm resolvent convergence.
Stud. Math. 271, 225-236 (2023)
Last update: July 19, 2023