REGULARIZED GREEN'S FUNCTION FOR THE INVERSE SQUARE POTENTIAL

the algorithm for solving the inverse numerical range problem

برد عددی ماتریس مربعی a را با w(a) نشان داده و به این صورت تعریف می کنیم w(a)={x8ax:x ?s1} ، که در آن s1 گوی واحد است. در سال 2009، راسل کاردن مساله برد عددی معکوس را به این صورت مطرح کرده است : برای نقطه z?w(a)، بردار x?s1 را به گونه ای می یابیم که z=x*ax، در این پایان نامه ، الگوریتمی برای حل مساله برد عددی معکوس ارانه می دهیم.

Renormalization of the inverse square potential

The quantum-mechanical D-dimensional inverse square potential is analyzed using field-theoretic renormalization techniques. A solution is presented for both the bound-state and scattering sectors of the theory using cutoff and dimensional regularization. In the renormalized version of the theory, there is a strong-coupling regime where quantum-mechanical breaking of scale symmetry takes place t...

An Approximation for the Inverse Square Root Function

The nonlinear Schrödinger equation with an inverse-square potential

We discuss recent results on the scattering/blow-up dichotomy below the ground state threshold for the focusing nonlinear Schrödinger equation with an inverse-square potential and a nonlinearity that is mass-supercritical and energy-subcritical.

Behavior correction of the inverse square law in irradiation room for volumetric source and detector

The inverse-square law is used to calculate the radiation flux at difference distances from the source. This law is applied for point source and point detector in vacuum. This research aims to study the point behavior of volumetric source and detector by undertaking required corrections on inverse-square law through the elimination of scattered neutrons contribution. The measurements have been ...