Lagrange mesh, relativistic flux tube, and rotating string

被引:23
作者
Buisseret, F [1 ]
Semay, C [1 ]
机构
[1] Univ Mons, Acad Univ Wallonie Bruxelles, Grp Phys Nucl Theor, B-7000 Mons, Belgium
来源
PHYSICAL REVIEW E | 2005年 / 71卷 / 02期
关键词
D O I
10.1103/PhysRevE.71.026705
中图分类号
O35 [流体力学]; O53 [等离子体物理学];
学科分类号
070204 ; 080103 ; 080704 ;
摘要
The Lagrange mesh method is a very accurate and simple procedure to compute eigenvalues and eigenfunctions of nonrelativistic and semirelativistic Hamiltonians. We show here that it can be used successfully to solve the equations of both the relativistic flux tube model and the rotating string model, in the symmetric case. Verifications of the convergence of the method are given.
引用
收藏
页数:8
相关论文
共 17 条
[1]  
Abramowitz M., 1970, HDB MATH FUNCTIONS
[2]   Analytic quantization of the QCD string [J].
Allen, TJ ;
Goebel, C ;
Olsson, MG ;
Veseli, S .
PHYSICAL REVIEW D, 2001, 64 (09)
[3]   The unexplained accuracy of the Lagrange-mesh method [J].
Baye, D ;
Hesse, M ;
Vincke, M .
PHYSICAL REVIEW E, 2002, 65 (02)
[4]   CONSTANT-STEP LAGRANGE MESHES FOR CENTRAL POTENTIALS [J].
BAYE, D .
JOURNAL OF PHYSICS B-ATOMIC MOLECULAR AND OPTICAL PHYSICS, 1995, 28 (20) :4399-4412
[5]   GENERALIZED MESHES FOR QUANTUM-MECHANICAL PROBLEMS [J].
BAYE, D ;
HEENEN, PH .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1986, 19 (11) :2041-2059
[6]   Auxiliary fields and the flux tube model [J].
Buisseret, F ;
Semay, C .
PHYSICAL REVIEW D, 2004, 70 (07)
[7]   DYNAMICAL REGIMES OF THE QCD STRING WITH QUARKS [J].
DUBIN, AY ;
KAIDALOV, AB ;
SIMONOV, YA .
PHYSICS LETTERS B, 1994, 323 (01) :41-45
[8]   DYNAMICAL REGIMES OF THE QCD STRING WITH LIGHT AND HEAVY QUARKS [J].
GUBANKOVA, EL ;
DUBIN, AY .
PHYSICS LETTERS B, 1994, 334 (1-2) :180-186
[9]   Lagrange-mesh calculations of three-body atoms and molecules [J].
Hesse, M ;
Baye, D .
JOURNAL OF PHYSICS B-ATOMIC MOLECULAR AND OPTICAL PHYSICS, 1999, 32 (23) :5605-5617
[10]   STRING POTENTIAL MODEL - SPINLESS QUARKS [J].
LACOURSE, D ;
OLSSON, MG .
PHYSICAL REVIEW D, 1989, 39 (09) :2751-2757