Diagonalization of Hamiltonian and Tamm-Dancoff Equation

Abstract

A formalism where Hamiltonian is generally diagonalised is given and the relation of this formalism to the Tamm-Dancoff equation is studied. The Tamm-Dancoff equation in which the energy of the system appearing in the denominator of the equation is eliminated, can be obtained from the solution of a differential equation. In this energy-eliminated Tamm-Dancoff equation, the subtraction of closed loops is possible. Furthermore, some applications are given.

Citing Article(s):

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12. Progress of Theoretical Physics Vol. 80 No. 1 (1988) pp. 138–150:Exchange Current Due to Rho-Meson Exchange Keisuke Tamura, Tetsuo Niwa, Toru Sato and Hisao Ohtsubo

13. Progress of Theoretical Physics Vol. 92 No. 6 (1994) pp. 1045–1080:Effective Interaction Theory and Unitary-Model-Operator Approach to Nuclear Saturation Problem Kenji Suzuki and Ryoji Okamoto

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15. Progress of Theoretical Physics Vol. 106 No. 1 (2001) pp. 99–130:A Construction of an Effective Hamiltonian from Feynman Diagrams Yuki Yamamoto

16. Progress of Theoretical Physics Vol. 115 No. 4 (2006) pp. 839–844:Separability of a Low-Momentum Effective Nucleon-Nucleon Potential Hiroyuki Kamada, Shinichiro Fujii, Eizo Uzu, Masahiro Yamaguchi, Ryoji Okamoto and Yasuro Koike

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Author notes

*

Now, University of Rochester.

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