Browsing División de Nanociencias y Materiales by Subject "Factorization"
Now showing items 1-6 of 6
-
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 ... -
Factorization method for some inhomogeneous Lienard equations
(Sociedad Mexicana de Física, A. C., 2021)"The factorization of inhomogeneous Li\'enard equations is performed showing that through the factorization conditions involved in the method one can obtain forcing terms for which closed-form solutions exist. Because of ... -
Factorization of the Riesz-Feller Fractional Quantum Harmonic Oscillators
(IOP Publishing, 2020)"Using the Riesz-Feller fractional derivative, we apply the factorization algorithm to the fractional quantum harmonic oscillator along the lines previously proposed by Olivar-Romero and Rosas-Ortiz, extending their results. ... -
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 ... -
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 ... -
Shifted riccati procedure: application to conformal barotropic FRW cosmologies
(2011)"In the case of barotropic FRW cosmologies, the Hubble parameter in conformal time is the solution of a simple Riccati equation of constant coefficients. We consider these cosmologies in the framework of nonrelativistic ...