Anharmonic oscillators energies via artificial perturbation method

被引:11
作者
Mustafa, O [1 ]
Odeh, M [1 ]
机构
[1] Eastern Mediterranean Univ G Magusa, Dept Phys, N Cyprus 10, Mersin, Turkey
关键词
D O I
10.1007/s100510051108
中图分类号
O469 [凝聚态物理学];
学科分类号
070205 ;
摘要
A new pseudoperturbative (artificial in nature) methodical proposal [15] is used to solve for Schrodinger equation with a class of phenomenologically useful and methodically challenging anharmonic oscillator potentials V(q) = alpha(o)q(2) + alpha q(4). The effect of the [4, 5] Pade approximant on the leading eigenenergy term is studied. Comparison with results from numerical (exact) and several eligible (approximation) methods is made.
引用
收藏
页码:143 / 148
页数:6
相关论文
共 27 条
[21]   GROUND-STATE ENERGIES OF HYDROGENIC ATOMS IN A UNIFORM MAGNETIC-FIELD OR ARBITRARY STRENGTH [J].
MUSTAFA, O ;
CHHAJLANY, SC .
PHYSICAL REVIEW A, 1994, 50 (04) :2926-2929
[22]   Bound states for spiked harmonic oscillators and truncated Coulomb potentials [J].
Mustafa, O ;
Odeh, M .
JOURNAL OF PHYSICS B-ATOMIC MOLECULAR AND OPTICAL PHYSICS, 1999, 32 (12) :3055-3063
[24]   50 YEARS OF EIGENVALUE PERTURBATION-THEORY [J].
SIMON, B .
BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY, 1991, 24 (02) :303-319
[25]   Construction of the strong coupling expansion for the ground state energy of the quartic, sextic, and octic anharmonic oscillator via a renormalized strong coupling expansion [J].
Weniger, EJ .
PHYSICAL REVIEW LETTERS, 1996, 77 (14) :2859-2862
[26]   r(D) oscillators with arbitrary D>0 and perturbation expansions with Sturmians [J].
Znojil, M .
JOURNAL OF MATHEMATICAL PHYSICS, 1997, 38 (10) :5087-5097
[27]  
[No title captured]