Molecular bound and resonance state energies of the modified Pöschl-Teller like potential

I. Nasser; M. S. Abdelmonem; Afaf Abdel-Hady

doi:10.1080/00268976.2012.746477

Molecular bound and resonance state energies of the modified Pöschl-Teller like potential

I. Nasser, M. S. Abdelmonem^*, Afaf Abdel-Hady

^*Corresponding author for this work

King Fahd University of Petroleum & Minerals

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

3 Scopus citations

Abstract

The oscillator basis is used to tridiagonalize the reference Hamiltonian, and the Pöschl-Teller (PT) potential matrix elements have been calculated using the Gauss quadrature approach. The bound and resonance state energies of the modified Pöschl-Teller (MPT) potential are calculated using the J-matrix method, for states with arbitrary quantum numbers and. Comparisons are made with the available literature data and excellent agreement is observed. The calculation is also carried out for molecular systems. Furthermore, the average oscillator strength, multipole moments and transition probabilities for certain states have been reported for future comparison. Some new states close to the crossover region are reported for guiding future studies.

Original language	English
Pages (from-to)	817-824
Number of pages	8
Journal	Molecular Physics
Volume	111
Issue number	6
DOIs	https://doi.org/10.1080/00268976.2012.746477
State	Published - 1 Mar 2013

Bibliographical note

Funding Information:
The authors would like to acknowledge the support provided by the Deanship of Scientific Research (DSR) at King Fahd University of Petroleum & Minerals (KFUPM) for funding this work through project No IN101034.

Keywords

J-matrix
Pöschl-Teller potential
bound and resonance energies
transition probabilities

ASJC Scopus subject areas

Biophysics
Molecular Biology
Condensed Matter Physics
Physical and Theoretical Chemistry

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10.1080/00268976.2012.746477

Cite this

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title = "Molecular bound and resonance state energies of the modified P{\"o}schl-Teller like potential",

abstract = "The oscillator basis is used to tridiagonalize the reference Hamiltonian, and the P{\"o}schl-Teller (PT) potential matrix elements have been calculated using the Gauss quadrature approach. The bound and resonance state energies of the modified P{\"o}schl-Teller (MPT) potential are calculated using the J-matrix method, for states with arbitrary quantum numbers and. Comparisons are made with the available literature data and excellent agreement is observed. The calculation is also carried out for molecular systems. Furthermore, the average oscillator strength, multipole moments and transition probabilities for certain states have been reported for future comparison. Some new states close to the crossover region are reported for guiding future studies.",

keywords = "J-matrix, P{\"o}schl-Teller potential, bound and resonance energies, transition probabilities",

author = "I. Nasser and Abdelmonem, \{M. S.\} and Afaf Abdel-Hady",

note = "Funding Information: The authors would like to acknowledge the support provided by the Deanship of Scientific Research (DSR) at King Fahd University of Petroleum \& Minerals (KFUPM) for funding this work through project No IN101034.",

year = "2013",

month = mar,

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doi = "10.1080/00268976.2012.746477",

language = "English",

volume = "111",

pages = "817--824",

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T1 - Molecular bound and resonance state energies of the modified Pöschl-Teller like potential

AU - Nasser, I.

AU - Abdelmonem, M. S.

AU - Abdel-Hady, Afaf

N1 - Funding Information: The authors would like to acknowledge the support provided by the Deanship of Scientific Research (DSR) at King Fahd University of Petroleum & Minerals (KFUPM) for funding this work through project No IN101034.

PY - 2013/3/1

Y1 - 2013/3/1

N2 - The oscillator basis is used to tridiagonalize the reference Hamiltonian, and the Pöschl-Teller (PT) potential matrix elements have been calculated using the Gauss quadrature approach. The bound and resonance state energies of the modified Pöschl-Teller (MPT) potential are calculated using the J-matrix method, for states with arbitrary quantum numbers and. Comparisons are made with the available literature data and excellent agreement is observed. The calculation is also carried out for molecular systems. Furthermore, the average oscillator strength, multipole moments and transition probabilities for certain states have been reported for future comparison. Some new states close to the crossover region are reported for guiding future studies.

AB - The oscillator basis is used to tridiagonalize the reference Hamiltonian, and the Pöschl-Teller (PT) potential matrix elements have been calculated using the Gauss quadrature approach. The bound and resonance state energies of the modified Pöschl-Teller (MPT) potential are calculated using the J-matrix method, for states with arbitrary quantum numbers and. Comparisons are made with the available literature data and excellent agreement is observed. The calculation is also carried out for molecular systems. Furthermore, the average oscillator strength, multipole moments and transition probabilities for certain states have been reported for future comparison. Some new states close to the crossover region are reported for guiding future studies.

KW - J-matrix

KW - Pöschl-Teller potential

KW - bound and resonance energies

KW - transition probabilities

UR - https://www.scopus.com/pages/publications/84877672580

U2 - 10.1080/00268976.2012.746477

DO - 10.1080/00268976.2012.746477

M3 - Article

AN - SCOPUS:84877672580

SN - 0026-8976

VL - 111

SP - 817

EP - 824

JO - Molecular Physics

JF - Molecular Physics

IS - 6

ER -

Molecular bound and resonance state energies of the modified Pöschl-Teller like potential

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

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