Zobrazeno 1 - 10
of 353
pro vyhledávání: '"Sesma J"'
Autor:
Sesma, J.
A doubly infinite set of series expansion for $1/\pi$ are reported. They follow trivially from a formal expansion for the quotient of the values taken by the gamma function for two (complex) arguments differing by an integer plus one half, obtained b
Externí odkaz:
http://arxiv.org/abs/1907.03188
Publikováno v:
Phys. Rev. D 98, 094029 (2018)
Exact analytical forms of solutions for Dispersion Relations for Amplitudes and Dispersion Relations for Slopes are applied in the analysis of pp and $\rm {p \bar p}$ scattering data in the forward range at energies below $\sqrt(s)\approx 30 \GeV$. A
Externí odkaz:
http://arxiv.org/abs/1809.02025
Autor:
Ferreira, E. M., Sesma, J.
Publikováno v:
Ann. Phys. (N.Y.) 366 (2015) 203-220
Infinitely rising one-dimensional potentials constitute impenetrable barriers which reflect totally any incident wave. However, the scattering by such kind of potentials is not structureless: resonances may occur for certain values of the energy. Her
Externí odkaz:
http://arxiv.org/abs/1711.08818
Publikováno v:
Phys. Rev. C 97, 014003 (2018)
Based on a study of the properties of the Lerch's transcendent, exact closed forms of dispersion relations for amplitudes and for derivatives of amplitudes in pp and p\=p scattering are introduced. Exact and complete expressions are written for the r
Externí odkaz:
http://arxiv.org/abs/1704.08866
Autor:
Sesma, J.
An algorithm for computing eigenvalues and eigenfunctions of the angular spheroidal wave equation, based on a known but scarcely used method, is developed. By requiring the regularity of the wave function, represented by its series expansion, the eig
Externí odkaz:
http://arxiv.org/abs/1606.00149
Autor:
Ferreira, E. M., Sesma, J.
Publikováno v:
J. Phys. A: Math. Theor. 47 (2014) 415306 (21 pp)
The eigenstates of a real or complex cubic anharmonic oscillator are investigated using original and alternative methods. The procedure consists of determining global solutions of the Schr\"odinger equation that comply with the pertinent boundary con
Externí odkaz:
http://arxiv.org/abs/1601.02786
Publikováno v:
Journal of Number Theory 172 (2017) 21-31
A new representation of the Lerch's transcendent Phi(z,s,a), valid for positive integer s=n=1,2,... and for z and a belonging to certain regions of the complex plane, is presented. It allows to write an equation relating Phi(z,n,a) and Phi(1/z,n,1-a)
Externí odkaz:
http://arxiv.org/abs/1601.02094
Autor:
Sesma, J.
Publikováno v:
J. Math. Chem. 51 (2013) 1881--1896
The Schr\"odinger equation with a Lennard-Jones potential is solved by using a procedure that treats in a rigorous way the irregular singularities at the origin and at infinity. Global solutions are obtained thanks to the computation of the connectio
Externí odkaz:
http://arxiv.org/abs/1405.5987
Autor:
Gomez, F. J., Sesma, J.
Publikováno v:
Eur. Phys. J. D (2012) 66: 6
We present an exact procedure that allows one to calculate the scattering lenth for any potential expressed as an algebraic sum of inverse powers of the interatomic distance. We apply it to (12, $s$) Lennard-Jones potentials, with different values of
Externí odkaz:
http://arxiv.org/abs/1401.6779
Autor:
Ferreira, E. M., Sesma, J.
The spectrum of a one-dimensional Hamiltonian with potential $V(x)=ix^2$ for negative $x$ and $V(x)=-ix^2$ for positive $x$ is analyzed. The Schr\"odinger equation is algebraically solvable and the eigenvalues are obtained as the zeros of an expressi
Externí odkaz:
http://arxiv.org/abs/1401.5937