Creation and annihilation operators, symmetry and supersymmetry of the 3D isotropic harmonic oscillator

Autor:	L Guzmán, Alfonso Queijeiro, V. D. Granados, J García, R. D. Mota
Rok vydání:	2003
Předmět:	Physics Isotropy General Physics and Astronomy Creation and annihilation operators Statistical and Nonlinear Physics Supersymmetry Second quantization Symmetry (physics) Azimuthal quantum number Ladder operator Quantum mechanics Mathematical Physics Harmonic oscillator Mathematical physics
Zdroj:	Journal of Physics A: Mathematical and General. 36:4849-4856
ISSN:	1361-6447 0305-4470
DOI:	10.1088/0305-4470/36/17/311
Popis:	We show that the supersymmetric radial ladder operators of the three-dimensional isotropic harmonic oscillator are contained in the spherical components of the creation and annihilation operators of the system. Also, we show that the constants of motion of the problem, written in terms of these spherical components, lead us to second-order radial operators. Further, we show that these operators change the orbital angular momentum quantum number by two units and are equal to those obtained by the Infeld–Hull factorization method.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::9c2d3bb7fad2e61828067683ace4db6e https://doi.org/10.1088/0305-4470/36/17/311 Zobrazit plný text záznamu