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KOCAK G, BAYRAK O, BOZTOSUN I. ARBITRARY ℓ-STATE SOLUTION OF THE HELLMANN POTENTIAL. JOURNAL OF THEORETICAL & COMPUTATIONAL CHEMISTRY 2011. [DOI: 10.1142/s0219633607003313] [Citation(s) in RCA: 8] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/18/2022]
Abstract
We present an alternative and accurate solution of the radial Schrödinger equation for the Hellmann potential within the framework of the asymptotic iteration method. We show that the bound state energy eigenvalues can be obtained easily for any n and ℓ values without using any approximations required by other methods. Our results are compared with the findings of other methods.
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Affiliation(s)
- G. KOCAK
- Department of Physics, Erciyes University, Kayseri, Turkey
| | - O. BAYRAK
- Department of Physics, Erciyes University, Kayseri, Turkey
- Department of Physics, Bozok University, Yozgat, Turkey
| | - I. BOZTOSUN
- Department of Physics, Erciyes University, Kayseri, Turkey
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Das JN, Seal S. Electron-hydrogen-atom ionization collisions at intermediate (5I0-20I0) and high ( >~ 20I0) energies. PHYSICAL REVIEW. A, ATOMIC, MOLECULAR, AND OPTICAL PHYSICS 1993; 47:2978-2986. [PMID: 9909269 DOI: 10.1103/physreva.47.2978] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/22/2023]
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Dutt R, Mukherji U, Varshni YP. Shifted large-N expansion for the bound states of the Hellmann potential. PHYSICAL REVIEW. A, GENERAL PHYSICS 1986; 34:777-784. [PMID: 9897334 DOI: 10.1103/physreva.34.777] [Citation(s) in RCA: 8] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/22/2023]
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