This article is cited in 1 scientific paper (total in 1 paper)
Reformulation of the Lax–Phillips approach in terms of stationary scattering theory
A. K. Motovilov
Saint-Petersburg State University
The Lax–Phillips approach for the Schrödinger equation is reformulated in terms of $t$ and $s$-matrices from stationary scattering theory. New proofs of the incoming and outgoing subspaces orthogonality and analytic continuability of the resolvents on the non-physycal sheet are given. The obtained results are generated to the case of multichannel Hamiltonians for analytic continuation on the non-physical sheet which is connected with the physical one by crossing through the interval between lower thresholds.
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Theoretical and Mathematical Physics, 1994, 98:2, 167–180
A. K. Motovilov, “Reformulation of the Lax–Phillips approach in terms of stationary scattering theory”, TMF, 98:2 (1994), 248–265; Theoret. and Math. Phys., 98:2 (1994), 167–180
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\paper Reformulation of the Lax--Phillips approach in terms of stationary scattering theory
\jour Theoret. and Math. Phys.
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This publication is cited in the following articles:
A. K. Motovilov, “Representations for three-body $T$-matrix on unphysical sheets. I”, Theoret. and Math. Phys., 107:3 (1996), 784–806
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