LOWER BOUNDS FOR QUANTUM-MECHANICAL ENERGY-LEVELS

被引:27
作者
BARNSLEY, MF
机构
[1] CENS,SERV PHYS ATOM,F-91190 GIF SUR YVETTE,FRANCE
[2] UNIV BRADFORD,DEPT MATH,BRADFORD BD7 1DP,W YORKSHIRE,ENGLAND
来源
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 1978年 / 11卷 / 01期
关键词
D O I
10.1088/0305-4470/11/1/009
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
The application of Barta's method (1937) to Schrodinger's equation is reviewed, the result of Duffin (1947) being extended in several directions.
引用
收藏
页码:55 / 68
页数:14
相关论文
共 16 条
[1]  
Barta J., 1937, CR HEBD ACAD SCI, V204, P472
[2]   HELIUM WAVE EQUATION [J].
BARTLETT, JH .
PHYSICAL REVIEW, 1955, 98 (04) :1067-1070
[3]  
BIRKHOFF G., 1962, ORDINARY DIFFERENTIA
[4]  
BOGGIO T, 1907, ATTI ACAD NAZ LINCEI, V26, P386
[5]   UPPER AND LOWER BOUNDS ON EIGENVALUES OF STURM-LIOUVILLE SYSTEMS [J].
BREUER, S ;
GOTTLIEB, D .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1971, 36 (03) :465-&
[6]   LOWER BOUNDS FOR EIGENVALUES [J].
DUFFIN, RJ .
PHYSICAL REVIEW, 1947, 71 (11) :827-828
[7]  
FICHERA G, 1954, ANNALI MAT PURA APPL, V36, P273
[8]   The approximate solution of Schrodinger equations by a least squares method [J].
Frost, AA .
JOURNAL OF CHEMICAL PHYSICS, 1942, 10 (04) :240-245
[9]  
HERSCH J, 1959, CR HEBD ACAD SCI, V249, P1074
[10]  
KELLER HB, 1967, J MATH MECH, V16, P1361