An Algebraic Treatment of the Many Electron Problem
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概要
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The algebraic structure of the hamiltonian of the many electron system is studied. Based upon the second quantization scheme, a purely algebraic-theoretical method is established in order to determine the total energies of the many electron system, where each energy eigenstate of one electron in the Hartree-Fock field of these electrons is occupied by a given number of electrons. This occupation number is either 0, 1 or 2, because of the value, 1/2, of the electron spin. Only the part of the hamiltonian related to the singly-occupied states are found to be algebraically important, in relation to which the so-called exchange algebra emerges. We state the general principle how to manipulate this algebra, and will work out in some cases of a few numbers of singly occupied states. In the case that the energy eigenstates of the Hartree-Fock field have degeneracies, the theory so far mentioned does not suffice, and more detailed and somewhat complicated study is required.
- 理論物理学刊行会の論文
著者
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Nakano Huzio
Department Of Applied Physics Faculty Of Engineering Nagoya University
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Nakano Huzio
Department Of Physics Faculty Of Science Osaka University
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NAKANO Huzio
Department of Physics, Faculty of Science, Osaka University
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