| 1. |
- Elander, Nils, et al.
(author)
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Complex scaling and self adjoint dilations
- 1993
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In: International Journal of Quantum Chemistry. - : Wiley. - 0020-7608 .- 1097-461X. ; 46:3, s. 415-418
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Journal article (peer-reviewed)abstract
- Complex scaling of the Schrodinger equation on the halfaxis with a nontrivial boundary condition at the origin is investigated. A self-adjoint dilation of the corresponding dissipative operator is constructed. The relations between the scattering problems for the operator and it's dilation are clarified
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| 2. |
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| 3. |
- Kurasov, Pavel, et al.
(author)
-
Resonances and irreversibility for Schroedinger evolution
- 1993
-
In: International Journal of Quantum Chemistry. - : Wiley. - 0020-7608 .- 1097-461X. ; 46:3, s. 401-413
-
Journal article (peer-reviewed)abstract
- The relations between the Schrödinger and wave evolutions are investigated. A generalization of the Lax-Phillips scattering theory for the case of the Schrödinger equation is constructed. An analog of the wave decay operator is obtained. The general ideas are illustrated by an explicitly solvable model of multichannel scattering on the halfaxis. A Lax-Phillips scattering theory is developed for the model operator obtained by a self-adjoint perturbation of the background operator
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| 4. |
- Kurasov, Pavel, et al.
(author)
-
δ' potential arising in exterior complex scaling
- 1994
-
In: Physical Review A (Atomic, Molecular and Optical Physics). - 1050-2947. ; 49:6, s. 5095-5097
-
Journal article (peer-reviewed)abstract
- In the method of exterior complex scaling the coordinates of the Hamilton operator are scaled by a constant factor starting at a radius R≠0. We show that this procedure induces a singularity in the kinetic-energy term which must be interpreted as the derivative of a δ function.
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