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An alternative factorization of the quantum harmonic oscillator and two-parameter family of self-adjoint operators
HARET CODRATIAN ROSU
Acceso Abierto
Atribución-NoComercial-SinDerivadas
https://doi.org/10.1016/j.physleta.2012.09.024
Factorization
Quantum harmonic oscillator
Riccati equation
Bernoulli equation
"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 introduced by Mielnik, and the Hermite operator are obtained in certain limits of the parameters. In addition, a single Bernoulli-type parameter factorization which is different of the one introduced by M. A. Reyes, H. C. Rosu, and M. R. Gutie´rrez, Phys. Lett. A 375 (2011) 2145 is briefly discussed in the final part of this work."
Elsevier
2012
Artículo
Inglés
Público en general
Rafael Arcos-Olalla, Marco A. Reyes, Haret C. Rosu, An alternative factorization of the quantum harmonic oscillator and two-parameter family of self-adjoint operators, Physics Letters A, Volume 376, Issue 45, 2012, Pages 2860-2865, ISSN 0375-9601, http://dx.doi.org/10.1016/j.physleta.2012.09.024.
CIENCIAS FÍSICO MATEMÁTICAS Y CIENCIAS DE LA TIERRA
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Aparece en las colecciones: Publicaciones Científicas Nanociencias y Materiales

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