Corpus ID: 115155519

Stationary oscillations in a damped wave equation from isospectral Bessel functions

@article{BarbosaCendejas2008StationaryOI,
  title={Stationary oscillations in a damped wave equation from isospectral Bessel functions},
  author={N. Barbosa-Cendejas and M. A. Reyes},
  journal={Revista Mexicana De Fisica},
  year={2008},
  volume={54},
  pages={319-321}
}
Usando las companeras isoespectrales de las funciones de Bessel obtenidas por Reyes et al. [1], encontramos, por un lado, que estas funciones muestran un comportamiento atipico de SUSY, mientras que, por otro lado, la companera isoespectral de la ecuacion de onda clasica es equivalente a la de un sistema amortiguado cuyas oscilaciones no desvanecen con el tiempo, sino que obtienen una forma que no es armonica. 

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References

SHOWING 1-10 OF 18 REFERENCES
One-parameter isospectral special functions
USANDO UNA COMBINACION DE LOS OPERADORES DE ESCALERA DE PINA [1] Y DE LOS OPERADORES PARAMETRICOS DE MIELNIK [2] INTRODUCIMOS OPERADORES LINEALES DE SEGUNDO ORDEN CON EIGENFUNCIONES QUE SON FORMASExpand
Algunas propiedades de los operadores de escalera
A n-family of seco lid order linear differential cquations has been considered, when the coefficient of the term withollt dcrivative is a fUllction of thc integer n, whcrcas thc coefficients of theExpand
Supersymmetric methods in the traveling variable: inside neurons and at the brain scale
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 ontoExpand
Factorization method and new potentials with the oscillator spectrum
A one‐parameter family of potentials in one dimension is constructed with the energy spectrum coinciding with that of the harmonic oscillator. This is a new derivation of a class of potentialsExpand
Recurrence-shift relations for the polynomial functions of Aldaya, Bisquert, and Navarro-Salas
Using a simple factorization scheme we obtain the recurrence-shift relations of the polynoll1ial functions of Aldaya, llisquert amI Navarro-Salas (ABNS), F~"(~JN x), i. e., one-step first-orocrExpand
Supersymmetry In Quantum and Classical Mechanics
GENERAL REMARKS ON SUPERSYMMETRY Background BASIC PRINCIPLES OF SUPERSYMMETRIC QUANTUM MECHANICS SUSY and the Oscillator Problem Superpotential and Setting Up a Supersymmetric Hamiltonian PhysicalExpand
The factorization method
The factorization method is an operational procedure which enables us to answer, in a direct manner, questions about eigenvalue problems which are of importance to physicists. The underlying idea isExpand
Phys
  • 25
  • 1984
Rosu, Rev. Mex. Fís
  • Rosu, Rev. Mex. Fís
  • 2003
Rev
  • Mex. F́ıs. 41 (1995) 913. See also, H.C. Rosu, M. Reyes, and O. Obregón, Rev. Mex. F́ıs. 43
  • 1997
...
1
2
...