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Frenet-Serret vacuum radiation, detection proposals and related topicsQuantum vacuum radiation and detection proposals
(2005)
"The paradigmatic Unruh radiation is an ideal and simple case of stationary vacuum radiation patterns related to worldlines defined as Frenet-Serret curves. We review the corresponding body of literature as well as the ...
Existence of periodic orbits in nonlinear oscillators of Emden-Fowler form
(2016)
"The nonlinear pseudo-oscillator recently tackled by Gadella and Lara is mapped to an Emden-Fowler (EF) equation that is written as an autonomous two-dimensional ODE system for which we provide the phase-space analysis and ...
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 ...
Integrable dissipative nonlinear second order differential equations via factorizations and Abel equations
(2013)
"We emphasize two connections, one well known and another less known, between the dissipative nonlinear second order differential equations and the Abel equations which in its first kind form have only cubic and quadratic ...
Barotropic FRW cosmologies with Chiellini damping
(2015)
"It is known that barotropic FRW equations written in the conformal time variable can be reduced to simple linear equations for an exponential function involving the conformal Hubble rate. Here, we show that an interesting ...
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 ...
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 ...
Genetic algorithm optimization of entanglement
(2006)
"We present an application of a genetic algorithmic computational method to the optimization of the concurrence measure of entanglement for the cases of one dimensional chains, as well as square and triangular lattices in ...
Ramanujan sums for signal processing of low-frequency noise
(2002)
"An aperiodic (low-frequency) spectrum may originate from the error term in the mean value of an arithmetical function such as Mobius function or Mangoldt function, which are coding sequences for prime numbers. In the ...
Newton´s laws of motion in the form of a Riccati equation
(2002)
"We discuss two applications of a Riccati equation to Newton´s laws of motion. The first one is the motion of a particle under the influence of a power law central potential V(r)=krε. For zero total energy we show that the ...