Relativistic treatment of the spin-zero particles subject to the second Pöschl–Teller-like potential

doi:10.1088/1674-1056/22/10/100303

中国物理B ›› 2013, Vol. 22 ›› Issue (10): 100303-100303.doi: 10.1088/1674-1056/22/10/100303

Relativistic treatment of the spin-zero particles subject to the second Pöschl–Teller-like potential

Ekele V. Aguda^a, Amos S. Idowu^b

a Department of Mathematics, Ahmadu Bello University Zaria, Nigeria;
b Department of Mathematics, University of Ilorin, Nigeria

收稿日期:2013-01-29 修回日期:2013-03-29 出版日期:2013-08-30 发布日期:2013-08-30

Relativistic treatment of the spin-zero particles subject to the second Pöschl–Teller-like potential

Ekele V. Aguda^a, Amos S. Idowu^b

a Department of Mathematics, Ahmadu Bello University Zaria, Nigeria;
b Department of Mathematics, University of Ilorin, Nigeria

Received:2013-01-29 Revised:2013-03-29 Online:2013-08-30 Published:2013-08-30
Contact: Ekele V. Aguda, Amos S. Idowu E-mail:vincentekele@yahoo.com;sesan@unilorin.edu.ng

摘要/Abstract

摘要： The three-dimensional Klein-Gordon equation is solved for the case of equal vector and scalar second Pöschl-Teller potential by proper approximation of the centrifugal term within the framework of the asymptotic iteration method. Energy eigenvalues and the corresponding wave function are obtained analytically. Eigenvalues are computed numerically for some values of n and l. It is found that the results are in good agreement with the findings of other methods for short-range potential.

关键词: second Pö, schl-Teller potential, asymptotic iteration, eigenvalues, eigenfunction

Abstract: The three-dimensional Klein-Gordon equation is solved for the case of equal vector and scalar second Pöschl–Teller potential by proper approximation of the centrifugal term within the framework of the asymptotic iteration method. Energy eigenvalues and the corresponding wave function are obtained analytically. Eigenvalues are computed numerically for some values of n and l. It is found that the results are in good agreement with the findings of other methods for short-range potential.

Key words: second Pöschl–Teller potential, asymptotic iteration, eigenvalues, eigenfunction

中图分类号: (Solutions of wave equations: bound states)

03.65.Ge

03.65.Pm (Relativistic wave equations)

Ekele V. Aguda, Amos S. Idowu. Relativistic treatment of the spin-zero particles subject to the second Pöschl–Teller-like potential[J]. 中国物理B, 2013, 22(10): 100303-100303.

Ekele V. Aguda, Amos S. Idowu. Relativistic treatment of the spin-zero particles subject to the second Pöschl–Teller-like potential[J]. Chin. Phys. B, 2013, 22(10): 100303-100303.

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Relativistic treatment of the spin-zero particles subject to the second Pöschl–Teller-like potential

Relativistic treatment of the spin-zero particles subject to the second Pöschl–Teller-like potential

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