@article{AIHPA_1984__41_1_103_0,
author = {Sigal, I. M.},
title = {Complex transformation method and resonances in one-body quantum systems},
journal = {Annales de l'I.H.P. Physique th\'eorique},
pages = {103--114},
year = {1984},
publisher = {Gauthier-Villars},
volume = {41},
number = {1},
mrnumber = {760129},
zbl = {0568.47008},
language = {en},
url = {https://www.numdam.org/item/AIHPA_1984__41_1_103_0/}
}
TY - JOUR AU - Sigal, I. M. TI - Complex transformation method and resonances in one-body quantum systems JO - Annales de l'I.H.P. Physique théorique PY - 1984 SP - 103 EP - 114 VL - 41 IS - 1 PB - Gauthier-Villars UR - https://www.numdam.org/item/AIHPA_1984__41_1_103_0/ LA - en ID - AIHPA_1984__41_1_103_0 ER -
Sigal, I. M. Complex transformation method and resonances in one-body quantum systems. Annales de l'I.H.P. Physique théorique, Tome 41 (1984) no. 1, pp. 103-114. https://www.numdam.org/item/AIHPA_1984__41_1_103_0/
[AC] and , On a class of analytic perturbations of one body Schrödinger operators, Commun. Math. Phys., t. 22, 1971, p. 269-279. | Zbl | MR
[BB1] and , A characterization of dilation-analytic potentials and vectors, J. Funct. Anal., t. 18, 1975, p. 1-14. | Zbl | MR
[BB2] and , 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
[B] , Local spectral deformation techniques for Schrödinger operators, Mittag-Leffler preprint, 1982. | MR
[BC] and , Spectral properties of Schrödinger Hamiltonians with dilation analytic potentials, Commun. Math. Phys., t. 22, 1971, p. 280-294. | Zbl | MR
[CL] and , Theory of Ordinary Differential Equations, McGraw-Hill, 1955. | Zbl | MR
[C] , An algebraic approach to quantum scattering, 1969, unpublished manuscript.
[Hu] , The Schrödinger eigenvalue problem for N-particle systems, in The Schr&dinger Equation, W. Thrrring and P. Urban, eds., Springer-Verlag, 1977. | Zbl
[J1] , Local distortion technique, resonances and poles of the S-matrix, J. Math. Anal. Appl., t. 59, 1977, p. 505-513. | Zbl | MR
[J2] , Resonances in an abstract analytic scattering theory, Ann. Inst. H. Poincaré, t. 33, 1980, p. 209-223. | Zbl | MR | Numdam
[Mo] , Absence of singular spectrum for certain self-adjoint operators, Commun. Math. Phys., t. 78, 1981, p. 391-408. | Zbl | MR
[McCR] and , Extension of the method of complex basis functions to molecular resonances, Phys. Rev. Lett., t. 41, 1978, p. 1364- 1368.
[N] , Analytic continuation of the off-energy-shell scattering amplitude, J. Math. Phys., t. 8, 1967, p. 873-877.
[RS] and , Methods of Modern Mathematical Physics, I, II, IV, Academic Press. | MR
[San] Sanibel WORKSHOP on Complex Scaling, 1978, in Int. J. Quant. Chemistry, t. 14, 1978.
[Sig1] , Scattering Theory for Many-Body Quantum Mechanical Systems-Rigorous Results, Springer, Lecture Notes in Mathematics N1011, 1983. | Zbl | MR
[Sig2] , A generalized Weyl theorem and the Lp-spectra of Schrödinger operators, J. Oper. Theory (to appear). | Zbl | MR
[Sim1] , Quadratic form technique and the Balslev-Combes theorem, Commun. Math. Phys., t. 27, 1972, p. 1-9. | Zbl | MR
[Sim2] , Resonances and complex scaling: A rigorous overview, J. Quant. Chem., t. 14, 1978, p. 529-542.
[Sim3] , The definition of molecular resonance curves by the method of exterior complex scaling, Phys. Lett., t. 71 A, 1979, p. 211-214.
[T] , On the spectral properties of some one-particle Schrödinger Hamiltonians, Helv. Phys. Acta, t. 45, 1972, p. 1057-1065. | MR






