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Eigenvalue problems, spectral parameter power series, and modern applications
(2015)
"Our review is dedicated to a wide class of spectral and transmission problems arising in di?erent branches of applied physics. One of the main di?culties in studying and solving eigenvalue problems for operators with ...
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. ...
Classical harmonic oscillator with Dirac-like parameters and possible applications
(2004)
"We obtain a class of parametric oscillation modes that we call K-modes with damping and absorption that are connected to the classical harmonic oscillator modes through the “supersymmetric” one-dimensional matrix procedure ...
Linear second-order differential equations for barotropic FRW cosmologies
(2003)
"Simple linear second-order differential equations have been written down for FRW cosmologies with barotropic fluids by Faraoni. His results have been extended by Rosu, who employed techniques belonging to nonrelativistic ...
Riccati nonhermiticity with application to the Morse potential
(2005)
"A supersymmetric one-dimensional matrix procedure, similar to the relationships of the same type between Dirac and Schrodinger equations in particle physics, is described in the general terms. By this means, we are able ...
FRW barotropic zero modes: dynamical systems observability
(2007)
"The dynamical systems observability properties of barotropic bosonic and fermionic FRW cosmological oscillators are investigated. Nonlinear techniques for dynamical analysis have been recently developed in many engineering ...
One-parameter isospectral special functions
(2003)
"Using a combination of the ladder operators of Pina [1] and the Pammetric operators of Mielnik [2] we introduce second order linear differential equations whose eigenfunctions are isospectral to the special functions of ...
Supersymmetry of FRW barotropic cosmologies
(2006)
"Barotropic FRW cosmologies are presented from the standpoint of nonrelativis-tic supersymmetry. First, we reduce the barotropic FRW system of diferential equations to simple harmonic oscillator diferential equations. ...
One-parameter nonrelativistic supersymmetry for microtubules
(2003)
"The one-parameter nonrelativistic supersymmetry of Mielnik [J. Math. Phys. 25, 3387 (1984)] is applied to the simple supersymmetric model of Caticha [Phys. Rev. A 51, 4264 (1995)] in the form used by Rosu [Phys. Rev. E ...