arXiv subjects

D. E. Alvarez-Castillo

Publications and source records attributed to D. E. Alvarez-Castillo.

21 records · Page 2Linked to original sources

arXiv2010

Low density symmetry energy effects in the neutron star crust properties

The form of the nuclear symmetry energy $E_s$ around saturation point density leads to a different crust-core transition point in the neutron star and affect the crust properties. We show that the knowledge about $E_s$ close to the saturation point is not sufficient, because the very low density behaviour is relevant. We also claim that crust properties are strongly influenced by the very high density behavior of $E_s$, so in order to conclude about the form of low density part of the symmetry energy one must isolate properly the high density part.

astro-ph.SR↗

arXiv2009

Exactly Solvable Potentials and Romanovski Polynomials in Quantum Mechanics

Orthogonal Polynomials in Quantum Mechanics. Exact solutions of the Schrodinger equation with the hyperbolic Scarf potential (Scarf II) in terms of Romanovski polynomials. Among the applications included is the solution of the problem of an electron within a particular potential leading to the definition of new non-spherical angular functions.

math-ph↗

arXiv2008

The Real Exact Solutions to the Hyperbolic Scarf Potential

The exact solutions of the Schrodinger equation with the hyperbolic Scarf potential reported in the literature so far rely upon Jacobi polynomials with imaginary arguments and parameters. We here show that upon a suitable factorization these solutions can be expressed alternatively by means of real orthogonal polynomials distinct but the classical ones as they satisfy a new self-adjoint differential equation of the hypergeometric type.

quant-ph↗