Publicaciones Científicas Nanociencias y Materiales: Recent submissions
Now showing items 421-440 of 585
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Ermakov-Lewis invariants and Reid systems
(2014)"Reid´s mth-order generalized Ermakov systems of nonlinear coupling constant ? are equivalent to an integrable Emden-Fowler equation. The standard Ermakov-Lewis invariant is discussed from this perspective, and a closed ... -
Self-adjoint oscillator operator from a modified factorization
(2011)"By using an alternative factorization, we obtain a self-adjoint oscillator operator of the form Lδ=ddx(pδ(x)ddx)−(x2pδ(x)+pδ(x)−1), where pδ(x)=1+δe−x2, with δ∈(−1,∞) an arbitrary real factorization parameter. At positive ... -
Cyclotomy and Ramanujan sums in quantum phase locking
(2003)"Phase-locking governs the phase noise in classical clocks through effects described in precise mathematical terms. We seek here a quantum counterpart of these effects by working in a finite Hilbert space. We use a coprimality ... -
An alternative factorization of the quantum harmonic oscillator and two-parameter family of self-adjoint operators
(2012)"We introduce an alternative factorization of the Hamiltonian of the quantum harmonic oscillator which leads to a two-parameter self-adjoint operator from which the standard harmonic oscillator, the one-parameter oscillators ... -
Parametric oscillators from factorizations employing a constant-shifted Riccati solution of the classical harmonic oscillator
(Elsevier, 2011)"We determine the kind of parametric oscillators that are generated in the usual factorization procedure of second-order linear differential equations when one introduces a constant shift of the Riccati solution of the ... -
Supersymmetric methods in the traveling variable: inside neurons and at the brain scale
(2008)"We apply the mathematical technique of factorization of differential operators to two different problems. First we review our results related to the supersymmetry of the Montroll kinks moving onto the microtubule walls ... -
Integrable equations with Ermakov-Pinney nonlinearities and Chiellini damping
(Elsevier, 2015)"We introduce a special type of dissipative Ermakov-Pinney equations of the form v?? + g(v)v? + h(v) = 0, where h(v) = h0(v) + cv?3 and the nonlinear dissipation g(v) is based on the corresponding Chiellini integrable Abel ... -
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 ... -
Generalized Thomas-Fermi equations as the Lampariello class of Emden-Fowler equations
(Elsevier, 2017)"A one-parameter family of Emden-Fowler equations defined by Lampariello's parameter p which, upon using Thomas-Fermi boundary conditions, turns into a set of generalized Thomas-Fermi equations comprising the standard ... -
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 ... -
Perceptual security of encrypted images based on wavelet scaling analysis
(2016)"The scaling behavior of the pixel fluctuations of encrypted images is evaluated by using the detrended fluctuation analysis based on wavelets, a modern technique that has been successfully used recently for a wide range ... -
Ermakov-Ray-Reid systems with additive noise
(2015)"Using the methods developed by us in Cervantes-López et al. (2014) for multiplicative noises, we present results on the effects of the additive noise on the Ermakov-Lewis invariant. This case can be implemented in the ... -
The Hurst exponents of Nitzschia sp. diatom trajectories observed by light microscopy
(Elsevier, 2015)"We present the results of an experiment with light microscopy performed to capture the trajectories of live Nitzschia sp. diatoms. The time series corresponding to the motility of this kind of cells along ninety-five ... -
Multifractal analyses of row sum signals of elementary cellular automata
(2012)"We first apply the WT-MFDFA, MFDFA, and WTMM multifractal methods to binomial multifrac-tal time series of three different binomial parameters and find that the WTMM method indicates an enhanced difference between the fractal ... -
Shifted one-parameter supersymmetric family of quartic asymmetric double-well potentials
(2014)"Extending our previous work (Rosu, Mancas, Chen, Ann.Phys. 343 (2014) 87-102), we define supersymmetric partner potentials through a particular Riccati solution of the form F(x) = (x − c)2 − 1, where c is a real shift ... -
Scaling analyses based on wavelet transforms for the Talbot effect
(2013)"The fractal properties of the transverse Talbot images are analysed with two well-known scaling methods, the wavelet transform modulus maxima (WTMM) and the wavelet transform multifractal detrended fluctuation anal- ysis ... -
Ermakov systems with multiplicative noise
(2014)"Using the Euler-Maruyama numerical method, we present calculations of the Ermakov-Lewis invariant and the dynamic, geometric, and total phases for several cases of stochastic parametric oscillators, including the simplest ... -
Application of multifractal wavelet analysis to spontaneous fermentation processes
(Elsevier, 2008)"An algorithm is presented here to get more detailed information, of mixed cul-ture type, based exclusively on the biomass concentration data for fermentation processes. The analysis is performed with only the on-line ...