**THESIS**:

My Ph.D. thesis (1999) was written in Romanian, and contained the first three papers from my publication list. The French habilitation thesis (2006) can be found here . The dr. scient. dissertation (2012) is available here .

**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. Henri 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 Z_{2} 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 Iftimie, V., and Purice, R.):
Peierls’ substitution via minimal coupling and magnetic pseudo-differential calculus.
* Rev. Math. Phys.* **31**(3) 1950008 (34 pages), (2019)

67. (with Helffer, B., and Purice, R.):
A Beals criterion for magnetic pseudodifferential operators proved with magnetic Gabor frames.
* Commun. Part. Diff. Eq.* online first (2019)

68. (with Michelangeli, A., and Yajima, K.):
Two Dimensional Schrödinger Operators with Point Interactions: Threshold Expansions,
Zero Modes and L^{p}-Boundedness of wave Operators.
* Rev. Math. Phys.* online first (2019)

*Last update*: November 9, 2018