TY - JOUR
T1 - Creation and annihilation operators, symmetry and supersymmetry of the 3D isotropic harmonic oscillator
AU - Mota, R. D.
AU - Granados, V. D.
AU - Queijeiro, A.
AU - García, J.
AU - Guzmán, L.
PY - 2003/5/2
Y1 - 2003/5/2
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=0038399947&partnerID=8YFLogxK
U2 - 10.1088/0305-4470/36/17/311
DO - 10.1088/0305-4470/36/17/311
M3 - Artículo
SN - 0305-4470
VL - 36
SP - 4849
EP - 4856
JO - Journal of Physics A: Mathematical and General
JF - Journal of Physics A: Mathematical and General
IS - 17
ER -