@article{AIHPA_1994__61_2_205_0, author = {Fan, Qihong}, title = {Resonances of relativistic {Schr\"odinger} operators with homogeneous electric fields}, journal = {Annales de l'I.H.P. Physique th\'eorique}, pages = {205--221}, publisher = {Gauthier-Villars}, volume = {61}, number = {2}, year = {1994}, mrnumber = {1311065}, zbl = {0812.35146}, language = {en}, url = {http://archive.numdam.org/item/AIHPA_1994__61_2_205_0/} }
TY - JOUR AU - Fan, Qihong TI - Resonances of relativistic Schrödinger operators with homogeneous electric fields JO - Annales de l'I.H.P. Physique théorique PY - 1994 SP - 205 EP - 221 VL - 61 IS - 2 PB - Gauthier-Villars UR - http://archive.numdam.org/item/AIHPA_1994__61_2_205_0/ LA - en ID - AIHPA_1994__61_2_205_0 ER -
%0 Journal Article %A Fan, Qihong %T Resonances of relativistic Schrödinger operators with homogeneous electric fields %J Annales de l'I.H.P. Physique théorique %D 1994 %P 205-221 %V 61 %N 2 %I Gauthier-Villars %U http://archive.numdam.org/item/AIHPA_1994__61_2_205_0/ %G en %F AIHPA_1994__61_2_205_0
Fan, Qihong. Resonances of relativistic Schrödinger operators with homogeneous electric fields. Annales de l'I.H.P. Physique théorique, Volume 61 (1994) no. 2, pp. 205-221. http://archive.numdam.org/item/AIHPA_1994__61_2_205_0/
[AC] A class of analytic perturbations for one-body Schrödinger Hamiltonians, Comm. Math. Phys., Vol. 22, 1971, pp. 269-279. | MR | Zbl
, ,[BC] Spectral properties of many-body Schrödinger operators with dilation analytic interactions, Comm. Math. Phys., Vol. 22, 1971, pp. 280-294. | MR | Zbl
, ,[CMS] Relativistic Schrödinger operators: Asymptotic behavior of the eigenfunctions, J. Funct. Anal., Vol. 91, 1990, pp. 117-142. | MR | Zbl
, , ,[CM] Au-delà des opérateurs pseudodifférentiels, Astéristique, Vol. 57, 1978. | Numdam | Zbl
, ,[CDKS] The shape resonances, Comm. Math. Phys., Vol. 110, 1987, pp. 215-236. | MR | Zbl
, , , ,[CFKS] Schrödinger operators, with application to quantum mechanics and global geometry, Springer-Verlag, 1986. | Zbl
, , , ,[Fa1] On the essential self-adjointness of pseudodifferential operators, to appear in Acta Mathematica Sinica, Vol. 10 (1), 1994. | MR | Zbl
,[Fa2] On the essential spectrum of pseudodifferential operators I, Nonlinear Analysis and Microlocal Analysis, Proc. Inter. Confer. at Nankai, 1991, edited by K. C. Chang etc., Word Scientific, Singapore, 1992, pp. 151-159. | Zbl
,[Fa3] On the essential spectrum of pseudodifferential operators II, to appear in Chin. Ann. of Math. (Series B), 1994. | MR | Zbl
,[Fo] Harmonic analysis in phase space, Anal. Math. Studies, Vol. 122, 1989. | MR | Zbl
,[HP] Comparaison entre la decroissance de fonctions propres pour les opérateurs de Dirac et de Klein-Gordon. Application à l'étude de l'effet tunnel, preprint, Inst. Fourier, Grenoble, 1993.
, ,[HS] Résonances sur limite semiclassique, Bull. Soc. Math. France Supp., Vol. 114, 1986. | Numdam | Zbl
, ,[Hu] Distortion analyticity and molecular resonance curves, Ann. Inst. Henri Poincaré, Vol. 45, 1986, pp. 339-358. | Numdam | MR | Zbl
,[K] Perturbation theory for linear operators, Berlin, Heidelberg, New York, Springer, 1966. | MR | Zbl
,[Sig] Sharp exponential bounds on resonance states and width of resonances, Adv. Appl. Math., Vol. 9, 1988, pp. 127-166. | MR | Zbl
,[S] Semiclassical analysis of low lying eigenvalue I, non-degenerate minima: Asymptotic expansions, Ann. Inst. Henri Poincaré, Vol. 38, 1983, pp. 295-307. | Numdam | MR | Zbl
,[Wa1] Bounds on widths of resonances for Stark Hamiltonian, Acta Math. Sinica (N. S.), Vol. 6, 1990, pp. 100-119. | MR | Zbl
,[Wa2] On the magnetic Stark resonances in two dimensional case, Lecture Notes in Physics, Vol. 403, Schrödinger operators, ed. E. Balslev, Springer Verlag, 1992. | MR | Zbl
,[Wa3] Resonances for N-body Schrödinger operators with Stark Hamiltonian, Ann. Inst. Henri Poincaré, Vol. 52, 1990, pp. 1-30. | Numdam | MR | Zbl
,[We] Spectral analysis of pseudodifferential operators, J. Funct. Anal., Vol. 20, 1975, pp. 319-337. | MR | Zbl
,