Zobrazeno 1 - 10 of 54 pro vyhledávání: '"D. B. Pearson"'
1
Spectral Theory of Herglotz Functions and Their Compositions
Autor: D. B. Pearson, Y. T. Christodoulides
Publikováno v: Mathematical Physics, Analysis and Geometry. 7:333-345
Recent developments in the theory of value distribution for boundary values of Herglotz functions [5], with applications to the spectral analysis of Herglotz measures and differential operators [2, 3] lead in a natural way to the investigation of mea
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::1326ceafe548827d66e2b04b80fdb2e9
https://doi.org/10.1007/s11040-004-3945-z
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2
[Untitled]
Autor: D. B. Pearson, S. V. Breimesser
Publikováno v: Mathematical Physics, Analysis and Geometry. 6:29-57
In this paper we show how spectral theory for Herglotz functions and differential operators is related to and dependent on the geometrical properties of the complex upper half-plane, viewed as a hyperbolic space. We establish a theory of value distri
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::eaaf181f80dcf51d06b890e2ef3a08c6
https://doi.org/10.1023/a:1022410108020
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5
[Untitled]
Autor: S. V. Breimesser, D. B. Pearson
Publikováno v: Mathematical Physics, Analysis and Geometry. 3:385-403
We consider the Dirichlet Schrodinger operator T=−(d2/d x2)+V, acting in L2(0,∞), where Vis an arbitrary locally integrable potential which gives rise to absolutely continuous spectrum. Without any other restrictive assumptions on the potential V
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::51becb1e50543aaf0e657c356ba2f41b
https://doi.org/10.1023/a:1011420706256
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6
[Untitled]
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
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7
Flux and scattering into cones for long range and singular potentials
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
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8
Quadratic forms and solutions of the Schrödinger equation
Autor: I Al-Naggar, D B Pearson
Publikováno v: Journal of Physics A: Mathematical and General. 29:6581-6594
The spectral theory for the Schr?dinger equation on the half-line is treated through an analysis of the asymptotics of quadratic forms in a pair of solutions. Solutions of the second- and third-order differential equations for these forms are derived
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::1427487707575448b00334b707702ee6
https://doi.org/10.1088/0305-4470/29/20/014
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