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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 ...
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 ...
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 ...
One-parameter supersymmetric Hamiltonians in momentum space
(2015)
"Recent results on the one-parameter supersymmetric deformation in momentum space by Curtright and Zachos (2014 J. Phys. A: Math. and Theor. 47 145201) are presented in a more general framework following our own papers. ...
One-parameter Darboux-transformed quantum actions in thermodynamics
(2002)
"We use nonrelativistic supersymmetry, mainly Darboux transformations of the general (one-parameter) type, for the quantum oscillator thermodynamic actions. Interesting Darboux generalizations of the fundamental Planck and ...
Gravitational bouncing of a quantum ball: Room for Airy's function Bi
(2002)
"I apply (i) a classical version of the Ermakov-Lewis procedure and (ii) the strictly isospectral supersymmetric approach to the Schrodinger free fall of the bouncing ball type. In both cases, the Airy function Bi, which ...
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 ...
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. ...
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 ...