Resonances in an abstract analytic scattering theory
Annales de l'institut Henri Poincaré. Section A, Physique Théorique, Tome 33 (1980) no. 2, pp. 209-223. 
@article{AIHPA_1980__33_2_209_0,
     author = {Jensen, Arne},
     title = {Resonances in an abstract analytic scattering theory},
     journal = {Annales de l'institut Henri Poincar\'e. Section A, Physique Th\'eorique},
     pages = {209--223},
     publisher = {Gauthier-Villars},
     volume = {33},
     number = {2},
     year = {1980},
     mrnumber = {605196},
     zbl = {0462.47010},
     language = {en},
     url = {http://www.numdam.org/item/AIHPA_1980__33_2_209_0/}
}
TY  - JOUR
AU  - Jensen, Arne
TI  - Resonances in an abstract analytic scattering theory
JO  - Annales de l'institut Henri Poincaré. Section A, Physique Théorique
PY  - 1980
SP  - 209
EP  - 223
VL  - 33
IS  - 2
PB  - Gauthier-Villars
UR  - http://www.numdam.org/item/AIHPA_1980__33_2_209_0/
LA  - en
ID  - AIHPA_1980__33_2_209_0
ER  - 
%0 Journal Article
%A Jensen, Arne
%T Resonances in an abstract analytic scattering theory
%J Annales de l'institut Henri Poincaré. Section A, Physique Théorique
%D 1980
%P 209-223
%V 33
%N 2
%I Gauthier-Villars
%U http://www.numdam.org/item/AIHPA_1980__33_2_209_0/
%G en
%F AIHPA_1980__33_2_209_0
Jensen, Arne. Resonances in an abstract analytic scattering theory. Annales de l'institut Henri Poincaré. Section A, Physique Théorique, Tome 33 (1980) no. 2, pp. 209-223. http://www.numdam.org/item/AIHPA_1980__33_2_209_0/

[1] J.E. Avron, I.W. Herbst, Spectral and scattering theory of Schrödinger operators related to the Stark effect. Comm. Math. Phys., t. 52, 1977, p. 239-259. | MR | Zbl

[2] D. Babbitt, E. Balslev, Local distortion technique and unitarity of the S-matrix for the 2-body problem. J. Math. Anal. Appl., t. 54, 1976, p. 316-347. | MR

[3] J.M. Combes, Spectral deformation techniques and applications to N-body Schrödinger operator. Proc. Int. Congr. Math., Vancouver, 1974, p. 369-376. | MR | Zbl

[4] D. Greenstein, On the analytic continuation of functions which map the upper half plane into itself. J. Math. Anal. Appl., t. 1, 1960, p. 355-362. | MR | Zbl

[5] I.W. Herbst, Dilation analyticity in constant electric fields I. The two body problem. Comm. Math. Phys., t. 64, 1978, p. 279-298. | MR | Zbl

[6] I.W. Herbst, B. Simon, Stark effect revisited. Phys. Rev. Letters, t. 41, 1978, p. 67-79. | MR

[7] J. Howland, Puiseux series for resonances at an embedded eigenvalue. Pacific J. Math., t. 55, 1974, p. 157-176. | MR | Zbl

[8] A. Jensen, Local distortion technique, resonances and poles of the S-matrix. J. Math. Anal. Appl., t. 59, 1977, p. 505-513. | MR | Zbl

[9] S.T. Kuroda, Scattering theory for differential operators I. Operator theory. J. Math. Soc. Japan, t. 25, 1973, p. 75-104. | MR | Zbl

[10] S.T. Kuroda, Scattering theory for differential operators II. Selfadjoint elliptic operators. J. Math. Soc. Japan, t. 25, 1973, p. 222-234. | MR | Zbl

[11] J. Nuttall, Analytic continuation of the off-energy shell scattering amplitude. J. Math. Phys., t. 8, 1967, p. 873-877.

[12] N. Shenk, D. Thoe, Eigenfunction expansions and scattering theory for perturbation of - Δ. Rocky Mountain J. Math., t. 1, 1971, p. 89-125. | MR | Zbl

[13] N. Shenk, D. Thoe, Resonant states and poles of the scattering matrix for perturbations of - Δ. J. Math. Anal. Appl., t. 37, 1972, p. 467-491. | MR | Zbl

[14] B. Simon, Resonances and complex scaling. A Rigorous overview. Int. J. Quantum Chemistry, t. 14, 1978, p. 529.

[15] L. Thomas, On the spectral properties of some one particle Schrödinger Hamiltonians. Helv. Phys. Acta, t. 45, 1973, p. 1057-1065. | MR

[16] K. Yajima, Spectral and scattering theory for Schrödinger operators with Stark effect I. J. Fac. Sci. Univ. Tokyo, Sec. IA, t. 26, 1979, p. 377-390. | MR | Zbl

[17] K. Yajima, Spectral and scattering theory for Schrödinger operators with Stark effect II. Preprint. | MR