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http://ipicyt.repositorioinstitucional.mx/jspui/handle/1010/973| Self-adjoint oscillator operator from a modified factorization | |
| HARET CODRATIAN ROSU | |
| Acceso Abierto | |
| Atribución-NoComercial-SinDerivadas | |
| https://doi.org/10.1016/j.physleta.2011.04.012 | |
| Factorization Quantum harmonic oscillator Generalized Hermite polynomials Ornstein-Uhlenbeck processes | |
| "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 values of δ, this operator interpolates between the quantum harmonic oscillator Hamiltonian for δ=0 and a scaled Hermite operator at high values of δ. For the negative values of δ, the eigenfunctions look like deformed quantum mechanical Hermite functions. Possible applications are mentioned." | |
| Elsevier Science BV | |
| 2011 | |
| Artículo | |
| Inglés | |
| Público en general | |
| Marco A. Reyes, H.C. Rosu, M. Ranferí Gutiérrez, Self-adjoint oscillator operator from a modified factorization, In Physics Letters A, Volume 375, Issue 22, 2011, Pages 2145-2148. | |
| FÍSICA | |
| Versión revisada | |
| submittedVersion - Versión revisada | |
| Aparece en las colecciones: | Publicaciones Científicas Nanociencias y Materiales |
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| PhysLettA375(2011)2145.pdf | 198.6 kB | Adobe PDF | Visualizar/Abrir |