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Calculating Matrix Elements of Slater-Determinant Wave Functions in the Cluster Model

机译：计算群集模型中slater-Determinant波函数的矩阵元

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This report is concerned with the calculation of matrix elements of Slater-determinant wave functions. These matrix elements are the basic input to any calculation with the Generator Coordinate Method (GCM). The main emphasis lies upon the projection of angular momentum and parity. The projection method is an analytical one making extensive use of Racah algebra and leads to closed expressions of these matrix elements in terms of 3-j, 6-j and 9-j symbols. It is shown that matrix elements of the kinetic energy operator may be obtained in a simple way from those of the normalization. The spurious contribution of the kinetic energy operator to the center-of-mass energy is eliminated by projecting the linear momentum of the states. (ERA citation 07:063761)

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作者
Beck, R.;
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年度 1981
页码 1-48
总页数 48
原文格式 PDF
正文语种 eng
中图分类工业技术;
关键词
Cluster model; Slater method; Matrix elements; Wave functions; Generator-coordinate method; Angular momentum; Parity; Clebsch-gordan coefficients; Racah coefficients; Wigner coefficients; Quantum operators; Kinetic energy; Center-of-mass system; Linear momentum; Eige;

机译：聚类模型; slater方法;矩阵元;波函数;发生器坐标法;角动量;奇偶性; Clebsch-gordan系数; Racah系数; Wigner系数;量子算子;动能;质心系统;线性动量; Eige;

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5. Explicitly correlated Gaussian basis functions: Derivation and implementation of matrix elements and gradient formulas using matrix differential calculus [D] . Kinghorn, Donald Bruce 1995

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6. Modulation of Elementary Calcium Release Mediates a Transition from Puffs to Waves in an IP3R Cluster Model [O] . Martin Rückl, Ian Parker, Jonathan S. Marchant, 2015

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7. Calculating Elements of Gametic Relationship Matrix in the Model Containing Effects of Marked QTL-Cluster [O] . Hirokazu Matsuda, Hiroaki Iwaisaki 2000

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8. Calculating Matrix Elements of Slater Determinant Wave Functions in the Cluster Model. Pt. 2 [R] . Beck, R., Dickmann, F. 1982

机译：计算群集模型中slater行列式波函数的矩阵元。铂。 2

Calculating Matrix Elements of Slater-Determinant Wave Functions in the Cluster Model

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