Computation of one-center overlap, nuclear attraction and kinetic energy integrals solver nonintegral-n

Automated computation of one-loop integrals in massless theories

We consider one-loop tensor and scalar integrals, which occur in a massless quantum field theory and we report on the implementation into a numerical program of an algorithm for the automated computation of these one-loop integrals. The number of external legs of the loop integrals is not restricted. All calculations are done within dimensional regularization.

Numerical Evaluation of Two–Center Overlap Integrals Over Slater–Type Orbitals and Convergence Properties

Motivation. Among the molecular integrals, the two-center overlap integrals play a major role in any accurate molecular structure calculation. They are central to the calculation of multicenter overlap integrals when using the series expansion formulae for Slater type functions about a new center. Consequently, these integrals require an accurate and fast numerical evaluation. Recently, we show...

Continuum Coupling and Single-Nucleon Overlap Integrals

The presence of a particle continuum, both of a resonant and non-resonant character, can significantly impact spectroscopic properties of weakly bound nuclei and excited nuclear states close to, and above, the particle emission threshold. In the framework of the continuum shell model in the complex momentum-plane, the so-called Gamow Shell Model, we discuss salient effects of the continuum coup...

Computation of contour integrals

Computation of Fresnel Integrals

This paper describes a method for spreadsheet computations of Fresnel integrals to six significant figures, based on successive improvements of known rational approximations which are accurate to only three figures. Outside the range of validity of the improved approximations, known series expansions are used to obtain the Fresnel integrals to six figures.