Study of resonances in the complex charge plane

A. D. Alhaidari

doi:10.1088/0305-4470/37/22/011

Study of resonances in the complex charge plane

A. D. Alhaidari^*

^*Corresponding author for this work

King Fahd University of Petroleum & Minerals

Research output: Contribution to journal › Article › peer-review

8 Scopus citations

Abstract

Potential resonances are usually investigated either directly in the complex energy plane or indirectly in the complex angular momentum plane. Another formulation complementing these two approaches is presented in this work. It is an indirect algebraic method that studies resonance in a complex charge plane (Z-plane). The complex scaling (rotation) method is employed in the development of this formulation. A finite L² basis is used in the numerical implementation of the method.

Original language	English
Pages (from-to)	5863-5871
Number of pages	9
Journal	Journal of Physics A: Mathematical and General
Volume	37
Issue number	22
DOIs	https://doi.org/10.1088/0305-4470/37/22/011
State	Published - 4 Jun 2004

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Mathematical Physics
General Physics and Astronomy

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10.1088/0305-4470/37/22/011

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title = "Study of resonances in the complex charge plane",

abstract = "Potential resonances are usually investigated either directly in the complex energy plane or indirectly in the complex angular momentum plane. Another formulation complementing these two approaches is presented in this work. It is an indirect algebraic method that studies resonance in a complex charge plane (Z-plane). The complex scaling (rotation) method is employed in the development of this formulation. A finite L2 basis is used in the numerical implementation of the method.",

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N2 - Potential resonances are usually investigated either directly in the complex energy plane or indirectly in the complex angular momentum plane. Another formulation complementing these two approaches is presented in this work. It is an indirect algebraic method that studies resonance in a complex charge plane (Z-plane). The complex scaling (rotation) method is employed in the development of this formulation. A finite L2 basis is used in the numerical implementation of the method.

AB - Potential resonances are usually investigated either directly in the complex energy plane or indirectly in the complex angular momentum plane. Another formulation complementing these two approaches is presented in this work. It is an indirect algebraic method that studies resonance in a complex charge plane (Z-plane). The complex scaling (rotation) method is employed in the development of this formulation. A finite L2 basis is used in the numerical implementation of the method.

UR - https://www.scopus.com/pages/publications/2942716941

U2 - 10.1088/0305-4470/37/22/011

DO - 10.1088/0305-4470/37/22/011

M3 - Article

AN - SCOPUS:2942716941

SN - 0305-4470

VL - 37

SP - 5863

EP - 5871

JO - Journal of Physics A: Mathematical and General

JF - Journal of Physics A: Mathematical and General

IS - 22

ER -

Study of resonances in the complex charge plane

Abstract

ASJC Scopus subject areas

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