TY - JOUR
T1 - Unified method for dynamical groups of some anharmonic potentials
AU - Dong, Shi Hai
N1 - Funding Information:
S. H. Dong thanks Prof. A. Frank for the invitation to UNAM. This work is supported by CONACyT, Mexico, under project 32397-E.
PY - 2002
Y1 - 2002
N2 - Realizations of the creation and annihilation operators for some important anharmonic potentials, such as the Morse potential, the modified Pöschl-Teller potential (MPT), the pseudoharmonic oscillator, and infinitely deep square-well potential, are presented by a factorization method. It is shown that the operators for the Morse potential and the MPT potential satisfy the commutation relations of an SU(2) algebra, but those of the pseudoharmonic oscillator and the infinitely deep square-well potential constitute an SU(1, 1) algebra. The matrix elements of some related operators are analytically obtained. The harmonic limits of the SU(2) operators for the Morse and MPT potentials are studied as the Weyl algebra.
AB - Realizations of the creation and annihilation operators for some important anharmonic potentials, such as the Morse potential, the modified Pöschl-Teller potential (MPT), the pseudoharmonic oscillator, and infinitely deep square-well potential, are presented by a factorization method. It is shown that the operators for the Morse potential and the MPT potential satisfy the commutation relations of an SU(2) algebra, but those of the pseudoharmonic oscillator and the infinitely deep square-well potential constitute an SU(1, 1) algebra. The matrix elements of some related operators are analytically obtained. The harmonic limits of the SU(2) operators for the Morse and MPT potentials are studied as the Weyl algebra.
KW - Algebraic method
KW - Anharmonic potential
KW - Factorization method
UR - http://www.scopus.com/inward/record.url?scp=0036432132&partnerID=8YFLogxK
U2 - 10.1023/A:1021017209946
DO - 10.1023/A:1021017209946
M3 - Artículo
SN - 0020-7748
VL - 41
SP - 1991
EP - 2011
JO - International Journal of Theoretical Physics
JF - International Journal of Theoretical Physics
IS - 10
ER -