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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. ...
High-gain nonlinear observer for simple genetic regulation process
(Elsevier, 2007)
"High-gain nonlinear observers occur in the nonlinear automatic control theory and are in standard usage in chemical engineering processes. We apply such a type of analysis in the context of a very simple one-gene reg-ulation ...
Inferring mixed-culture growth from total biomass data in a wavelet approach
(Elsevier, 2006)
"It is shown that the presence of mixed-culture growth in batch fermentation processes can be very accurately inferred from total biomass data by means of the wavelet analysis for singularity detection. This is accomplished ...
One-parameter families of supersymmetric isospectral potentials from Riccati solutions in function composition form
(2014)
"In the context of supersymmetric quantum mechanics, we define a potential through a particular Riccati solution of the composition form (F ◦ f)(x) = F(f(x)) and obtain a generalized Mielnik construction of one-parameter ...
Nongauge bright soliton of the nonlinear Schrödinger (NLS) equation and a family of generalized NLS equations
(2016)
"We present an approach to the bright soliton solution of the nonlinear Schrödinger (NLS) equation from the standpoint of introducing a constant potential term in the equation. We discuss a "nongauge" bright soliton for ...
Inhomogeneous barotropic FRW cosmologies with constant-shifted conformal hubble parameters
(2013)
"It is known that the barotropic FRW system of differential equations for zero cosmological constant can be reduced to simple harmonic oscillator (HO) differential equations in the conformal time variable. This is due to ...
Note on Hawking-Unruh effects in graphene
(2012)
"Beltrami-shaped graphene sheets have been recently proposed as analogs of curved spacetimes with Hawking-Unruh e?ects detected through typi-cal condensed matter measurements involving scanning tunneling micro-scopes and ...
A robust estimation of the exponent function in the Gompertz law
(Elsevier, 2006)
"The estimation of the solution of a system of two differential equations introduced by Norton et al. (1976) that is equivalent to the famous Gompertz growth law is performed by means of the recent adaptive scheme of ...