Coulomb-Sturmian matrix elements of the Coulomb Green’s operator
نویسندگان
چکیده
منابع مشابه
Resolutions of the Coulomb operator.
We discuss a generalization of the resolution of the identity by considering one-body resolutions of two-body operators, with particular emphasis on the Coulomb operator. We introduce a set of functions that are orthonormal with respect to 1r(12) and propose that the resulting "resolution of the Coulomb operator," r(12) (-1)=mid R:phi(i)phi(i)mid R:, may be useful for the treatment of large sys...
متن کاملCoulomb-Sturmian separable expansion approach: Three-body Faddeev calculations for Coulomb-like interactions.
We demonstrate the feasibility and efficiency of the Coulomb-Sturmian separable expansion method for generating accurate solutions of the Faddeev equations. Results obtained with this method are reported for several benchmark cases of bosonic and fermionic three-body systems. Correct bound-state results in agreement with the ones established in the literature are achieved for short-range intera...
متن کاملResolutions of the Coulomb Operator: VII. Evaluation of Long-Range Coulomb and Exchange Matrices.
Use of the resolution of Ewald operator method for computing long-range Coulomb and exchange interactions is presented. We show that the accuracy of this method can be controlled by a single parameter in a manner similar to that used by conventional algorithms that compute two-electron integrals. Significant performance advantages over conventional algorithms are observed, particularly for high...
متن کاملOn the Evolution Operator Kernel for the Coulomb and Coulomb–like Potentials
With a help of the Schwinger — DeWitt expansion analytical properties of the evolution operator kernel for the Schrödinger equation in time variable t are studied for the Coulomb and Coulomb-like (which behaves themselves as 1/|~q| when |~q| → 0) potentials. It turned out to be that the Schwinger — DeWitt expansion for them is divergent. So, the kernels for these potentials have additional (bey...
متن کاملResolutions of the Coulomb operator: II. The Laguerre generator
We discuss a resolution of the Coulomb operator, r 1 12 1⁄4 j/iih/ij, into a one-particle basis. We show that the Laguerre polynomials generate a resolution with attractive computational properties and we apply it to the calculation of Coulomb and exchange energies in hydrogenic ions, the H2 molecule, and the Be atom. Rapid convergence is observed in all cases and a theoretical reason for this ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Physical Review A
سال: 2006
ISSN: 1050-2947,1094-1622
DOI: 10.1103/physreva.74.014701