GREEN FUNCTION FOR RELATIVISTIC SCHR&Ouml;DINGER EQUATION

WEI Hua; RUAN Tu-Nan

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2024年10月30日

Chinese Physics C> 1986, Vol. 10> Issue(6) : 656-665

GREEN FUNCTION FOR RELATIVISTIC SCHRÖDINGER EQUATION

WEI Hua ^, ,
RUAN Tu-Nan

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Abstract：
Using Schrödinger wave function in quantum field theory, the time-dependent Green function and its spectral representation for 2-fermion system are derived, and the Schrödinger equation as well as the normalization condition of his wave function are deduced. The normalization condition shows that this wave function in just the probability amplitude when energy-dependence of potential can be neglected. The Green functions for some other equal-time equations are evaluated, however, the normalization of these equations remains to be solved and the potential is non-Hermitian.

References

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卢里, D.,粒子和场, 科学出版社, 1981,,p.468.[2] 阮图南, 朱熙泉, 何柞麻, 庆承瑞, 赵维勤, 高能物理与核物理, 5 (1981), 393, 537[3] 卫华、尹鸿减阮图南, 高能物理与核物理, 9 (1985), 687,[4] J. Schwinger, Proc. Natl. Acad. Sci., 37 (1951), 455.[5] N. Nakanishi, Suppl. Prog. Theor, Phys. 43 (1969), 1.[6] M. Gell-Mann, F. Low, Phys. Rev., 84 (1951), 350.[7] 王明中, 郑希特, 汪克林, 冼鼎昌, 章正刚, 高能物理与核物理, 4 (1980), 433.

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WEI Hua and RUAN Tu-Nan. GREEN FUNCTION FOR RELATIVISTIC SCHRÖDINGER EQUATION[J]. Chinese Physics C, 1986, 10(6): 656-665.

WEI Hua and RUAN Tu-Nan. GREEN FUNCTION FOR RELATIVISTIC SCHRÖDINGER EQUATION[J]. Chinese Physics C, 1986, 10(6): 656-665. shu

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Received: 1900-01-01
Revised: 1900-01-01

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1.
沈阳化工大学材料科学与工程学院沈阳 110142

GREEN FUNCTION FOR RELATIVISTIC SCHRÖDINGER EQUATION

WEI Hua ^,
RUAN Tu-Nan

Corresponding author: WEI Hua,

Received Date: 1900-01-01
Accepted Date: 1900-01-01
Available Online: 1986-12-05

Abstract: Using Schrödinger wave function in quantum field theory, the time-dependent Green function and its spectral representation for 2-fermion system are derived, and the Schrödinger equation as well as the normalization condition of his wave function are deduced. The normalization condition shows that this wave function in just the probability amplitude when energy-dependence of potential can be neglected. The Green functions for some other equal-time equations are evaluated, however, the normalization of these equations remains to be solved and the potential is non-Hermitian.