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Quantum Hamiltonians and prime numbers
(2003)
"A short review of Schrödinger Hamiltonian for which the spectral problem has beenVrelated in the literature to the distribution of the prime numbers is presented here. WeVnotice a possible connection between prime numbers ...
KdV adiabatic index solitons in barotropic open FRW cosmologies
(2002)
"Applying standard mathematical methods, it is explicitly shown how the Riccati equation for the Hubble parameter H() of barotropic open FRW cosmologies is connected with a Korteweg-de Vries equation for adiabatic index ...
Barotropic FRW cosmologies with a Dirac-like parameter
(2004)
"Using the known connection between Schroedinger-like equations and Dirac-like equations in the supersymmetric context, we discuss an extension of FRW barotropic cosmologies in which a Dirac mass-like parameter is introduced. ...
Two integrable classes of Emden-Fowler equations with applications in astrophysics and cosmology
(Walter de Gruyter GmbH, 2018)
"We show that some Emden–Fowler (EF) equations encountered in astrophysics and cosmology belong to two EF integrable classes of the type d2z/dχ2=Aχ−λ−2zn for λ=(n−1)/2 (class 1), and λ=n+1 (class 2). We find their corresponding ...
Traveling wave solutions for wave equations with two exponential nonlinearities
(Walter de Gruyter GmbH, 2018)
"We use a simple method that leads to the integrals involved in obtaining the travelling-wave solutions of wave equations with one and two exponential nonlinearities. When the constant term in the integrand is zero, implicit ...
Comment on demystifying the constancy of the Ermakov-Lewis invariant for a time-dependent oscillator
(World Scientific Publishing Company, 2018)
"We show that a simple modification of the Lagrangian proposed by Padmanabhan in the paper [Mod. Phys. Lett. A33, 1830005 (2018)] leads to the most general dynamical invariant in [Ray and Reid, Phys. Lett. A71, 317 (1979)]."
Riccati parametric deformations of the Cornu spiral
(Walter de Gruyter GmbH, 2018)
"In this article, a parametric deformation of the Cornu spiral is introduced. The parameter is an integration constant which appears in the general solution of the Riccati equation and is related to the Fresnel integrals. ...
Superfluid Rayleigh–Plesset extension of FLRW cosmology
(Elsevier, 2021)
"Guided by the analogy with the Rayleigh–Plesset dynamics of multielectron bubbles in superfluid He-4, we consider the cosmological FLRW evolution equation with additional cubic and sixth powers of the inverse of the scale ...
Stationary states in a potential well
(UNESCO, 2007)
"In the early days of the 20th century a set of important observations in atomic and molecular physics could not be explained on the basis of the laws of classical physics. One of the main findings was the emission of light ...
Multifractal analysis of the symmetry of a strictly isospectral energy landscape on a square lattice
(Elsevier, 2021)
"We use the Höder regularity analysis to study the symmetry breaking and recovery due to a parametric potential generated via the strictly isospectral factorization method. The initial potential is two-dimensional and ...