TY - JOUR
T1 - The su(1, 1) dynamical algebra from the Schrödinger ladder operators for N-dimensional systems
T2 - Hydrogen atom, Mie-type potential, harmonic oscillator and pseudo-harmonic oscillator
AU - Martínez, D.
AU - Flores-Urbina, J. C.
AU - Mota, R. D.
AU - Granados, V. D.
PY - 2010
Y1 - 2010
N2 - We apply the Schrödinger factorization to construct the ladder operators for the hydrogen atom, Mie-type potential, harmonic oscillator and pseudo-harmonic oscillator in arbitrary dimensions. By generalizing these operators we show that the dynamical algebra for these problems is the su(1, 1) Lie algebra.
AB - We apply the Schrödinger factorization to construct the ladder operators for the hydrogen atom, Mie-type potential, harmonic oscillator and pseudo-harmonic oscillator in arbitrary dimensions. By generalizing these operators we show that the dynamical algebra for these problems is the su(1, 1) Lie algebra.
UR - http://www.scopus.com/inward/record.url?scp=77949535453&partnerID=8YFLogxK
U2 - 10.1088/1751-8113/43/13/135201
DO - 10.1088/1751-8113/43/13/135201
M3 - Artículo
SN - 1751-8113
VL - 43
JO - Journal of Physics A: Mathematical and Theoretical
JF - Journal of Physics A: Mathematical and Theoretical
IS - 13
M1 - 135201
ER -