TY - JOUR
T1 - Interbasis expansions for isotropic harmonic oscillator
AU - Dong, Shi Hai
PY - 2012/3/12
Y1 - 2012/3/12
N2 - The exact solutions of the isotropic harmonic oscillator are reviewed in Cartesian, cylindrical polar and spherical coordinates. The problem of interbasis expansions of the eigenfunctions is solved completely. The explicit expansion coefficients of the basis for given coordinates in terms of other two coordinates are presented for lower excited states. Such a property is occurred only for those degenerated states for given principal quantum number n.
AB - The exact solutions of the isotropic harmonic oscillator are reviewed in Cartesian, cylindrical polar and spherical coordinates. The problem of interbasis expansions of the eigenfunctions is solved completely. The explicit expansion coefficients of the basis for given coordinates in terms of other two coordinates are presented for lower excited states. Such a property is occurred only for those degenerated states for given principal quantum number n.
KW - Interbasis expansions
KW - Isotropic harmonic oscillator
KW - Schrödinger equation
UR - http://www.scopus.com/inward/record.url?scp=84858295595&partnerID=8YFLogxK
U2 - 10.1016/j.physleta.2012.02.042
DO - 10.1016/j.physleta.2012.02.042
M3 - Artículo
SN - 0375-9601
VL - 376
SP - 1262
EP - 1268
JO - Physics Letters, Section A: General, Atomic and Solid State Physics
JF - Physics Letters, Section A: General, Atomic and Solid State Physics
IS - 15
ER -