Numerical solutions of three-dimensional helium like atoms from the linear combination of their analogue one-dimensional wave functions
Research output: Conference Papers (RGC: 31A, 31B, 32, 33) › 33_Other conference paper › peer-review
Author(s)
Related Research Unit(s)
Detail(s)
Original language | English |
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Publication status | Presented - Mar 2019 |
Conference
Title | American Physical Society March Meeting 2019 (APS March Meeting 2019) |
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Place | United States |
City | Boston |
Period | 4 - 8 March 2019 |
Link(s)
Permanent Link | https://scholars.cityu.edu.hk/en/publications/publication(5d2ffdc4-d822-47e4-8087-3477fc1dc737).html |
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Abstract
The solutions of Schrödinger wave equations for the ground state of three-dimensional helium atom and its isoelectronic series were obtained from the linear combination of one-dimensional helium-like wave functions. The result shows that the one-dimensional bases along the axes are good choices which facilitate easy numerical integration. The three-dimensional wave function was constructed from the linear combination of the bases and the result was further refined to converge to the exact value using the iteration technique. The resultant ground state energy for the helium atom is with deviation of from the exact value. The method developed is thus demonstrated to be an effective numerical approach to the many-body problem and could be extended to other atomic and molecular systems.
Bibliographic Note
Research Unit(s) information for this publication is provided by the author(s) concerned.
Citation Format(s)
Numerical solutions of three-dimensional helium like atoms from the linear combination of their analogue one-dimensional wave functions. / UR RAHMAN, Faiz; SARWONO, Yanoar Pribadi; ZHANG, Ruiqin.
2019. American Physical Society March Meeting 2019 (APS March Meeting 2019), Boston, Massachusetts, United States.
2019. American Physical Society March Meeting 2019 (APS March Meeting 2019), Boston, Massachusetts, United States.
Research output: Conference Papers (RGC: 31A, 31B, 32, 33) › 33_Other conference paper › peer-review