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Parametric oscillators from factorizations employing a constant-shifted Riccati solution of the classical harmonic oscillator
HARET CODRATIAN ROSU
Acceso Abierto
Atribución-NoComercial-SinDerivadas
https://doi.org/10.1016/j.physleta.2011.08.024
Mathematical Physics
"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 classical harmonic oscillator. The mathematical results show that some of these oscillators could be of physical nature. We give the solutions of the obtained second-order differential equations and the values of the shift parameter providing strictly periodic and antiperiodic solutions. We also notice that this simple problem presents parity-time (PT) symmetry. Possible applications are mentioned."
Elsevier
2011
Artículo
Inglés
Público en general
H.C. Rosu, K.V. Khmelnytskaya, Parametric oscillators from factorizations employing a constant-shifted Riccati solution of the classical harmonic oscillator, Physics Letters A, Volume 375, Issue 40, 2011, Pages 3491-3495, ISSN 0375-9601, http://dx.doi.org/10.1016/j.physleta.2011.08.024.
CIENCIAS FÍSICO MATEMÁTICAS Y CIENCIAS DE LA TIERRA
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Appears in Collections:Publicaciones Científicas Nanociencias y Materiales

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