Approximate analytical solution of continuous states for the l-wave Schrödinger equation with a diatomic molecule potential

• Authors: Gao-Feng Wei , Wen-Chao Qiang , Wen-Li Chen
• Languages of publication: EN

Abstracts

EN

The continuous states of the l-wave Schrödinger equation for the diatomic molecule represented by the hyperbolical function potential are carried out by a proper approximation scheme to the centrifugal term. The normalized analytical radial wave functions of the l-wave Schrödinger equation for the hyperbolical function potential are presented and the corresponding calculation formula of phase shifts is derived. Also, we interestingly obtain the corresponding bound state energy levels by analyzing analytical properties of scattering amplitude.

Keywords

EN

hyperbolical function potential; continuous states; approximate analytical solutions

Discipline

• 03.65.-w: Quantum mechanics[see also 03.67.-a Quantum information; 05.30.-d Quantum statistical mechanics; 31.30.J- Relativistic and quantum electrodynamics (QED) effects in atoms, molecules, and ions in atomic physics]
• 03.65.Nk: Scattering theory

• Publisher: De Gruyter Open
• Journal: Open Physics
• Year: 2010
• Volume: 8
• Issue: 4
• Pages: 574-579

Dates

published

1 - 8 - 2010

online

22 - 5 - 2010

Contributors

author

Gao-Feng Wei

• Department of Physics, Xi’an University of Arts and Science, Xi’an, 710065, People’s Republic of China

author

Wen-Chao Qiang

• Faculty of Science, Xi’an University of Architecture and Technology, Xi’an, 710055, People’s Republic of China

author

Wen-Li Chen

• Faculty of Science, Xi’an University of Architecture and Technology, Xi’an, 710055, People’s Republic of China

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Identifiers

DOI

10.2478/s11534-009-0108-7