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dc.contributor.author | Rakityansky, Sergei Anatoljevich![]() |
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dc.contributor.author | Elander, N.![]() |
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dc.date.accessioned | 2012-05-17T06:14:14Z | |
dc.date.available | 2012-05-17T06:14:14Z | |
dc.date.issued | 2012-03 | |
dc.description.abstract | For a two-dimensional quantum-mechanical problem, we obtain a generalized power series expansion of the S-matrix that can be done near an arbitrary point on the Riemann surface of the energy, similar to the standard effective-range expansion. In order to do this, we consider the Jost function and analytically factorize its momentum dependence that causes the Jost function to be a multivalued function. The remaining single-valued function of the energy is then expanded in the power series near an arbitrary point in the complex energy plane. A systematic and accurate procedure has been developed for calculating the expansion coefficients. This makes it possible to obtain a semi-analytic expression for the Jost function (and therefore for the S-matrix) near an arbitrary point on the Riemann surface and use it, for example, to locate the spectral points (bound and resonant states) as the S-matrix poles. The method is applied to a model similar to those used in the theory of quantum dots. | en |
dc.description.librarian | nf2012 | en |
dc.description.uri | http://www.iop.org/EJ/journal/JPhysA | en_US |
dc.identifier.citation | Rakityansky, SA & Elander, N 2012, 'Analytic structure and power series expansion of the Jost function for the two-dimensional problem', Journal of Physics A: Mathematical and Theoretical, vol. 45, no. 13, art. no. 135209, pp. 1-29. | en |
dc.identifier.issn | 1751-8113 (print) | |
dc.identifier.issn | 1751-8121 (online) | |
dc.identifier.other | 10.1088/1751-8113/45/13/135209 | |
dc.identifier.uri | http://hdl.handle.net/2263/18756 | |
dc.language.iso | en | en_US |
dc.publisher | Institute of Physics | en_US |
dc.rights | © 2012 IOP Publishing Ltd | en_US |
dc.subject | Jost function | en |
dc.subject | Transformation of the radial equation | en |
dc.subject | Complex rotation | en |
dc.subject | Explicit separation of the non-analytic factors | en |
dc.subject | Analytic structure of the Jost functions | en |
dc.subject | Two-dimensional quantum-mechanical problem | en |
dc.subject.lcsh | Effective range (Nuclear physics) | en |
dc.subject.lcsh | Quantum dots (QDs) | en |
dc.title | Analytic structure and power series expansion of the Jost function for the two-dimensional problem | en |
dc.type | Postprint Article | en |