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Original Articles

Barrier Resonances in Strong Magnetic Fields

Pages 1539-1566 | Published online: 08 May 2007

  • Agmon , S. 1982 . “ Lecture on Exponential Decay of Solutions of Second Order Elliptic Equations ” . In Math. Notes No. 29 , Princeton Univ. Press .
  • Aguilar , J. and Combes , J. M. 1971 . A class of analytic perturbations for one-body Schrödinger Hamiltonians . Commun. in Math. Phys. , 22 : 269 – 279 .
  • Ashbaugh , M. S. and Harrell , E. M. 1982 . Perturbation theory for shape resonances and large barriers . Commun. in Math. Phys. , 83 : 151 – 170 .
  • Avron , J. , Herbst , I. and Simon , B. 1978 . Schrödinger operators with magnetic fields, I. General interactions . Duke Math. J. , 45 : 847 – 883 .
  • Balazard-Kolein , A. 1985 . Calcul Fonctionnel pour des Opérateurs h-Admissibles à Symbole Opérateurs et Applicatins . Thèse de 3èeme Cycle, Univ. Nantes , 45
  • Balslev , E. and Combes , J. M. 1971 . Spectral properties of many-body Schrödinger operators with dilation analytic interactions . Commun. in Math. Phys. , 22 : 280 – 294 .
  • Bellissard , J. July . “ C∗-algebras in solid state physics-2D electrons in a uniform magnetic field ” . In in Warwick Conference on Operator Algebras July ,
  • Briet , P. , Combes , J. M. and Duclos , P. 1987 . On the location of resonances for Schrödinger operators in the semiclassical limit, II . COmmun. P.D.E. , 12 July : 201 – 222 .
  • Delande , D. , Bommier , A. and Gay , J. C. 1990 . Positive energy spectrum of the hydrogen atom in a magnetic field . Preprint , 12 July
  • Harrell , E. M. and Svirsky , R. 1986 . Potentials producing maximally sharp resonances . Trans. Amer. Math. Soc. , 293 July : 723 – 736 .
  • Hasegawa , H. , Robnik , M. and Wunner , G. 1989 . Classical and quantal chaos in the diamagnetic Kepler problem . Prog. of Theoretical Phys., Suppl. , 98 July : 198 – 287 .
  • Helffer , B. and Robert , D. 1984 . Puits de potentiels généralisés et asymptotique semi-classique . Annales de l'IHP , 41 ( 3 ) July : 291 – 331 .
  • Helffer , B. and Sjöstrand , J. 1986 . Résonances en limite semiclassique . Bull. Soc. Math. France, Suppl. , 41 ( 3 ) July : 24 – 25 .
  • Helffer , B. and Sjöstrand , J. 1989 . Equation de Schrödinger avec champ magnétique et équation de Harper . Lecture Notes in Phys. , 345 ( 3 ) July : 118 – 197 .
  • Lieb , E. , Solovej , J. and Yngvason , J. 1991 . “ Large atoms in large magnetic fields, talk given by Solovej in Journées des Equaiton aux Dérivées Partielles ” . In Saint Jean de Mont
  • Martinez , A. , Reed , M. and Simon , B. 1980 . “ Methods of Modern Mathematical Physics, VI ” . In Analysis of Operators , New York : Acad. Press .
  • Robert , D. 1986 . “ Autour de l'Approximation Semiclassique ” . In progress in Math. , Vol. 68 , Birkhaüser .
  • Sjöstrand , J. 1987 . Semiclassical resonances generated by non–degenerate critical points . Lecture Notes in Math. , 1256 : 402 – 429 .
  • Wang , X. P. 1991 . “ On the magnetic Stark resonances in two dimensional case, talk given in workshop on Schrödinger Operators, Aarhus ” . In details to appear in Lecture Notes in Phys. , Edited by: Balsev , E. "Schrödinger Operators" .

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