Approximate analytical states of a polynomial potential: an example of symmetry restoration

被引:18
作者
de Castro, AS [1 ]
Dutra, AD [1 ]
机构
[1] UNESP, BR-12500000 Guaratingueta, SP, Brazil
基金
巴西圣保罗研究基金会;
关键词
D O I
10.1016/S0375-9601(00)00277-2
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
An approximate analytical expression for the first two eigenvalues of the Schrodinger equation for the potential V(x) = Ax(4) + Bx(2) is achieved by using the Symanzik scaling symmetry. A kind of symmetry restoration when one of the potential parameters changes conveniently is observed. (C) 2000 Published by Elsevier Science B.V. All rights reserved.
引用
收藏
页码:281 / 286
页数:6
相关论文
共 22 条
[1]   LARGE-ORDER BEHAVIOR OF PERTURBATION THEORY [J].
BENDER, CM ;
WU, TS .
PHYSICAL REVIEW LETTERS, 1971, 27 (07) :461-&
[2]   ANHARMONIC OSCILLATOR .2. STUDY OF PERTURBATION-THEORY IN LARGE ORDER [J].
BENDER, CM ;
WU, TT .
PHYSICAL REVIEW D, 1973, 7 (06) :1620-1636
[3]   ANHARMONIC OSCILLATOR [J].
BENDER, CM ;
WU, TT .
PHYSICAL REVIEW, 1969, 184 (05) :1231-&
[4]   Effective characteristic polynomials and two-point Pade approximants as summation techniques for the strongly divergent perturbation expansions of the ground state energies of anharmonic oscillators [J].
Cizek, J ;
Weniger, EJ ;
Bracken, P ;
Spirko, V .
PHYSICAL REVIEW E, 1996, 53 (03) :2925-2939
[5]  
DUTRA AD, 1991, PHYS REV A, V44, P4721
[6]   APPROXIMATE ANALYTIC-EXPRESSION FOR THE EIGENENERGIES OF THE ANHARMONIC-OSCILLATOR V(X)=AX(6)+BX(2) [J].
DUTRA, AD ;
DECASTRO, AS ;
BOSCHIFILHO, H .
PHYSICAL REVIEW A, 1995, 51 (05) :3480-3484
[8]   The strong coupling expansion for anharmonic oscillators [J].
Fernandez, FM ;
Guardiola, R .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1997, 30 (20) :7187-7192
[9]   EXACT SOLUTIONS FOR A DOUBLY ANHARMONIC-OSCILLATOR [J].
FLESSAS, GP .
PHYSICS LETTERS A, 1979, 72 (4-5) :289-290
[10]   BOREL SUMMABILITY - APPLICATION TO ANHARMONIC OSCILLATOR [J].
GRAFFI, S ;
GRECCHI, V ;
SIMON, B .
PHYSICS LETTERS B, 1970, B 32 (07) :631-&