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Jensen, Arne

Local distortion technique, resonances, and poles of the S-matrix. (English) Zbl 0361.47018

J. Math. Anal. Appl. 59, 505-513 (1977).
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Cited in 1 Review
Cited in 15 Documents

MSC:

47F05 General theory of partial differential operators
35J10 Schrödinger operator, Schrödinger equation
47A40 Scattering theory of linear operators
35P25 Scattering theory for PDEs
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\textit{A. Jensen}, J. Math. Anal. Appl. 59, 505--513 (1977; Zbl 0361.47018)
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References:

[1] Aguilar, J.; Combes, J. M., A class of analytic perturbations for one-body Schrödinger Hamiltonians, Comm. Math. Phys., 22, 269-279 (1971) · Zbl 0219.47011
[2] Babbitt, D.; Balslev, E., Local distortion techniques and unitarity of the \(S\)-matrix for the 2-body problem, J. Math. Anal. Appl., 54, 316-349 (1976)
[3] Babbitt, D.; Balslev, E., A characterization of dilation-analytic potentials and vectors, J. Functional Anal., 18, 1-14 (1975) · Zbl 0304.47009
[4] Newton, R. G., Scattering Theory for Waves and Particles (1966), McGraw-Hill: McGraw-Hill New York
[5] Shenk, N.; Thoe, D., Eigenfunction expansion and scattering theory for perturbation of −Δ, Rocky Mountain J. Math., 1, 89-125 (1971) · Zbl 0254.47017
[6] Shenk, N.; Thoe, D., Resonant states and poles of the scattering matrix for perturbations of −Δ, J. Math. Anal. Appl., 37, 467-491 (1972) · Zbl 0229.35072
[7] Simon, B., Quadratic form techniques and the Balslev-Combes theorem, Comm. Math. Phys., 27, 1-9 (1972) · Zbl 0237.35025
[8] Simon, B., Resonances in \(N\)-body quantum systems with dilation-analytic potentials and the foundations of time-dependent perturbation theory, Ann. Math., 97, 247-272 (1973)
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