The stationary states of a system bound in a spherical box and additionally subjected to a perturbation of finite range are studied in the limit as the box radius becomes infinite. The transition from formal discrete-spectrum theory to formal scattering theory is carried out explicitly by two different methods. It is shown quite generally (i.e.; even when the total Hamiltonian is not separable) that the level shift produced by the perturbation is proportional to the corresponding scattering phase shift.
%0 Journal Article
%1 Dewitt1956Transition
%A Dewitt, Bryce S.
%D 1956
%I American Physical Society
%J Physical Review Online Archive (Prola)
%K resonance
%N 5
%P 1565--1571
%R 10.1103/physrev.103.1565
%T Transition from Discrete to Continuous Spectra
%U http://dx.doi.org/10.1103/physrev.103.1565
%V 103
%X The stationary states of a system bound in a spherical box and additionally subjected to a perturbation of finite range are studied in the limit as the box radius becomes infinite. The transition from formal discrete-spectrum theory to formal scattering theory is carried out explicitly by two different methods. It is shown quite generally (i.e.; even when the total Hamiltonian is not separable) that the level shift produced by the perturbation is proportional to the corresponding scattering phase shift.
@article{Dewitt1956Transition,
abstract = {{The stationary states of a system bound in a spherical box and additionally subjected to a perturbation of finite range are studied in the limit as the box radius becomes infinite. The transition from formal discrete-spectrum theory to formal scattering theory is carried out explicitly by two different methods. It is shown quite generally (i.e.; even when the total Hamiltonian is not separable) that the level shift produced by the perturbation is proportional to the corresponding scattering phase shift.}},
added-at = {2019-02-23T22:09:48.000+0100},
author = {Dewitt, Bryce S.},
biburl = {https://www.bibsonomy.org/bibtex/2c00b08736a9bc969db158f351126c0a7/cmcneile},
citeulike-article-id = {5092279},
citeulike-linkout-0 = {http://dx.doi.org/10.1103/physrev.103.1565},
citeulike-linkout-1 = {http://link.aps.org/abstract/PR/v103/i5/p1565},
citeulike-linkout-2 = {http://link.aps.org/pdf/PR/v103/i5/p1565},
doi = {10.1103/physrev.103.1565},
interhash = {bf1cbe4cf7b19532969cdcf8ea015e9e},
intrahash = {c00b08736a9bc969db158f351126c0a7},
journal = {Physical Review Online Archive (Prola)},
keywords = {resonance},
month = sep,
number = 5,
pages = {1565--1571},
posted-at = {2009-07-08 13:11:50},
priority = {2},
publisher = {American Physical Society},
timestamp = {2019-02-23T22:15:27.000+0100},
title = {{Transition from Discrete to Continuous Spectra}},
url = {http://dx.doi.org/10.1103/physrev.103.1565},
volume = 103,
year = 1956
}