期刊
PRAMANA-JOURNAL OF PHYSICS
卷 74, 期 4, 页码 615-631出版社
INDIAN ACAD SCIENCES
DOI: 10.1007/s12043-010-0054-3
关键词
Yukawa-type potential; ionization and excitation energies; many-body Hamiltonian; spin-orbit coupling; energy-level splitting
资金
- School of Physics, University of Sydney for the USIRS
We prove the existence of a Hamiltonian with ionization energy as part of the eigenvalue, which can be used to study strongly correlated matter. This eigenvalue consists of total energy at zero temperature (E (0)) and the ionization energy (xi). We show that the existence of this total energy eigenvalue, E (0)+/-xi, does not violate the Coulombian atomic system. Since there is no equivalent known Hamilton operator that corresponds quantitatively to xi, we employ the screened Coulomb potential operator (Yukawa-type), which is a function of this ionization energy to analytically calculate the screening parameter (sigma) of a neutral helium atom in the ground state. In addition, we also show that the energy level splitting due to spin-orbit coupling is inversely proportional to xi eigenvalue, which is also important in the field of spintronics.
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