TY - JOUR
T1 - New type shift operators for circular well potential in two dimensions
AU - Sun, Guo Hua
AU - Dong, Shi Hai
PY - 2010/9/6
Y1 - 2010/9/6
N2 - New type shift operators for circular well potential in two dimensions are identified. These so-called shift operators connect those quantum systems with the different potentials but with same energy spectrum. It should be noted that these operators depend on both the radial circular and angular variables r and φ. We find that the operators P±=Px±Py play the role of the shift operators. The radial linear momentum P r=-iℏ ∂/∂r, the angular momentum Lz=-iℏ∂/∂φ and the Hamiltonian form a complete set of commuting operators with the SO(2) symmetry.
AB - New type shift operators for circular well potential in two dimensions are identified. These so-called shift operators connect those quantum systems with the different potentials but with same energy spectrum. It should be noted that these operators depend on both the radial circular and angular variables r and φ. We find that the operators P±=Px±Py play the role of the shift operators. The radial linear momentum P r=-iℏ ∂/∂r, the angular momentum Lz=-iℏ∂/∂φ and the Hamiltonian form a complete set of commuting operators with the SO(2) symmetry.
KW - Factorization method
KW - New type shift operators
KW - Spherical potential well
UR - http://www.scopus.com/inward/record.url?scp=77956266912&partnerID=8YFLogxK
U2 - 10.1016/j.physleta.2010.08.027
DO - 10.1016/j.physleta.2010.08.027
M3 - Artículo
SN - 0375-9601
VL - 374
SP - 4112
EP - 4114
JO - Physics Letters, Section A: General, Atomic and Solid State Physics
JF - Physics Letters, Section A: General, Atomic and Solid State Physics
IS - 40
ER -