Zobrazeno 1 - 10
of 16
pro vyhledávání: '"W O Amrein"'
Autor:
Kalyan B. Sinha, W O Amrein
Publikováno v:
Journal of Physics A: Mathematical and General. 39:9231-9254
We present stationary expressions for the on-shell time delay operator and for its trace in quantum-mechanical potential scattering. The trace of this operator is shown to represent the time delay for a monoenergetic and well-collimated beam of initi
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::d9fd49995d3cda6987d3bd5b15f3f20a
https://doi.org/10.1088/0305-4470/39/29/016
https://doi.org/10.1088/0305-4470/39/29/016
Publikováno v:
Annales Henri Poincaré. 3:1215-1232
We consider anisotropic Schrodinger operators $ H = -{\Delta} + V $ in $ L^{2}(\mathbb{R}^n) $ . To certain asymptotic regions F we assign asymptotic Hamiltonians H F such that (a) $ \sigma(H_F) \subset \sigma_{\textrm{ess}}(H) $ , (b) states with en
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::9f40e88ef80f38a5a2d1c384c4307984
https://doi.org/10.1007/s000230200003
https://doi.org/10.1007/s000230200003
Autor:
D. B. Pearson, W. O. Amrein
Publikováno v:
Mathematical Physics, Analysis and Geometry. 1:193-221
This paper presents a new approach to spectral theory for theSchrodinger Operator on the half-line. Solutions of nonlinearRiccati-type equations related to the Schrodinger equation at realspectral parameter λ are characterised by means of their clus
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::e3318ae516fad819894ecfc7372e0c47
https://doi.org/10.1023/a:1009759202730
https://doi.org/10.1023/a:1009759202730
Autor:
W O Amrein, D B Pearson
Publikováno v:
Journal of Physics A: Mathematical and General. 30:5361-5379
We prove that the probability of finding a scattered quantum-mechanical particle at large times in a truncated cone is identical with the scattered flux, integrated over time, across a distant spherical surface subtending this cone. The theory applie
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::db10ef345e6c58ec6b40d8932f4a30ec
https://doi.org/10.1088/0305-4470/30/15/022
https://doi.org/10.1088/0305-4470/30/15/022
Autor:
Kalyan B. Sinha, W O Amrein
Publikováno v:
Linear Algebra and its Applications. :425-435
We give an algebraic derivation of the canonical form of a generic pair of projections. The result is used to determine the spectral shift of a pair of projections and various properties of Fredholm pairs.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d39cce8aab2f062f4dd7ca793872cac4
https://doi.org/10.1016/0024-3795(94)90454-5
https://doi.org/10.1016/0024-3795(94)90454-5
Autor:
W. O. Amrein, Philippe Jacquet
Publikováno v:
Physical Review. A, Vol. 75, No 022106 (2007)
This paper concerns time-dependent scattering theory and in particular the concept of time delay for a class of one-dimensional anisotropic quantum systems. These systems are described by a Schr\"{o}dinger Hamiltonian $H = -\Delta + V$ with a potenti
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::6cb974689ab3070e547682caffa1b6a0
https://doi.org/10.1103/physreva.75.022106
https://doi.org/10.1103/physreva.75.022106
Autor:
W O Amrein, D B Pearson
Publikováno v:
Journal of Physics A: Mathematical and General. 12:1469-1492
A method is developed, within the framework of time-dependent scattering theory, of proving finiteness at almost all energies of the total cross section for scattering by a wide class of potentials which roughly decrease more rapidly than r-2 at infi
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::50f53d5fc382825e3396a3223293f11d
https://doi.org/10.1088/0305-4470/12/9/014
https://doi.org/10.1088/0305-4470/12/9/014
Autor:
K B Sinha, W O Amrein
Publikováno v:
Journal of Physics A: Mathematical and General. 15:1567-1586
Using a Hilbert space version of the Faddeev method. The authors prove finiteness and continuity as a function of the energy of the total scattering cross section for three quantum mechanical particles with two-body initial states. It is assumed that
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::40e26325de9c62d49b125c7e8d3d5c1c
https://doi.org/10.1088/0305-4470/15/5/018
https://doi.org/10.1088/0305-4470/15/5/018
Autor:
W. O. Amrein, D. B. Pearson
Publikováno v:
Letters in Mathematical Physics. 3:83-86
Let S(λ) be the S-matrix at energy λ for an abstract scattering system. We derive a bound, in terms of the interaction, on integrals of the form ∫ h (λ)∥ S(λ)-∥HS2 dλ, where ∫η∫ denotes the Hilbert-Schmidt norm.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::00236ec1798e1236fbc0e4737ed96d7a
https://doi.org/10.1007/bf00400060
https://doi.org/10.1007/bf00400060
Autor:
W O Amrein, D B Pearson
Publikováno v:
Journal of Physics A: Mathematical and General. 13:1259-1264
For Schrodinger Hamiltonians with potentials that are rapidly oscillating near infinity, it is shown that the T matrix is in the Hilbert-Schmidt class, implying finiteness of the total scattering cross section. The high-energy behaviour of the cross
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::a89b907e6203a14a35247d013d105b7d
https://doi.org/10.1088/0305-4470/13/4/019
https://doi.org/10.1088/0305-4470/13/4/019