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 Schroedinger operators. Commun. Math. Phys. 192, 671-685 (1998)

2. Cornean, H.D.: On the essential spectrum of two dimensional periodic magnetic Schroedinger operators. Lett. Math. Phys.  49, 197-211 (1999)

3. (with Nenciu G.) : Two dimensional magnetic Schroedinger 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 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. To appear in Ann. H. Poincaré (2018)


Last update: December 2, 2017

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