The rotation-vibration spectrum for Scarf II potential

Wen Chao Qiang; Shi Hai Dong

doi:10.1002/qua.22527

The rotation-vibration spectrum for Scarf II potential

Wen Chao Qiang, Shi Hai Dong

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

10 Scopus citations

Abstract

The arbitrary l-state solutions of the Schrödinger equation with Scarf II potential are presented by taking a new approximate scheme to the centrifugal term. This is realized by expanding the variable around the minimum equilibrium point of the potential. The wave functions can be expressed by hypergeometric functions. It is shown that the calculated energy levels are in good agreement with accurate numerical ones.

Original language	English
Pages (from-to)	2342-2346
Number of pages	5
Journal	International Journal of Quantum Chemistry
Volume	110
Issue number	13
DOIs	https://doi.org/10.1002/qua.22527
State	Published - 5 Nov 2010

Keywords

Arbitrary l state
Bound states
Scarf II potential

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10.1002/qua.22527

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title = "The rotation-vibration spectrum for Scarf II potential",

abstract = "The arbitrary l-state solutions of the Schr{\"o}dinger equation with Scarf II potential are presented by taking a new approximate scheme to the centrifugal term. This is realized by expanding the variable around the minimum equilibrium point of the potential. The wave functions can be expressed by hypergeometric functions. It is shown that the calculated energy levels are in good agreement with accurate numerical ones.",

keywords = "Arbitrary l state, Bound states, Scarf II potential",

author = "Qiang, {Wen Chao} and Dong, {Shi Hai}",

year = "2010",

month = nov,

day = "5",

doi = "10.1002/qua.22527",

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journal = "International Journal of Quantum Chemistry",

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T1 - The rotation-vibration spectrum for Scarf II potential

AU - Qiang, Wen Chao

AU - Dong, Shi Hai

PY - 2010/11/5

Y1 - 2010/11/5

N2 - The arbitrary l-state solutions of the Schrödinger equation with Scarf II potential are presented by taking a new approximate scheme to the centrifugal term. This is realized by expanding the variable around the minimum equilibrium point of the potential. The wave functions can be expressed by hypergeometric functions. It is shown that the calculated energy levels are in good agreement with accurate numerical ones.

AB - The arbitrary l-state solutions of the Schrödinger equation with Scarf II potential are presented by taking a new approximate scheme to the centrifugal term. This is realized by expanding the variable around the minimum equilibrium point of the potential. The wave functions can be expressed by hypergeometric functions. It is shown that the calculated energy levels are in good agreement with accurate numerical ones.

KW - Arbitrary l state

KW - Bound states

KW - Scarf II potential

UR - http://www.scopus.com/inward/record.url?scp=77958068129&partnerID=8YFLogxK

U2 - 10.1002/qua.22527

DO - 10.1002/qua.22527

M3 - Artículo

AN - SCOPUS:77958068129

SN - 0020-7608

VL - 110

SP - 2342

EP - 2346

JO - International Journal of Quantum Chemistry

JF - International Journal of Quantum Chemistry

IS - 13

ER -

The rotation-vibration spectrum for Scarf II potential

Abstract

Keywords

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