CLASS OF LOWER BOUNDS FOR HAMILTONIAN OPERATORS

被引：13

作者：

BAUMGARTNER, B

机构：

[1] Lnstitut für Theoretische Physik, Universität Wien, A-1090 Wien

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 1979年 / 12卷 / 04期

关键词：

D O I：

10.1088/0305-4470/12/4/007

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

A method for deriving lower bounds to the ground states of nonrelativistic quantum Hamiltonians is developed and illustrated with examples. The bound depends on a trial function and can be made arbitrarily close to the true value, except for systems of fermions. For one-dimensional and spherically symmetric systems bounds for the excited states may also be derived. From the bound another one as found by Barnsley (1978) may be derived.

引用

页码：459 / 467

页数：9

共 10 条

[1]

BARGMANN V, 1972, HELV PHYS ACTA, V45, P249

[2] LOWER BOUNDS FOR QUANTUM-MECHANICAL ENERGY-LEVELS [J].

BARNSLEY, MF .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1978, 11 (01) :55-68

[3] HELIUM WAVE EQUATION [J].

BARTLETT, JH .

PHYSICAL REVIEW, 1955, 98 (04) :1067-1070

[4] LOWER BOUNDS FOR ENERGY LEVELS OF MOLECULAR SYSTEMS [J].

BAZLEY, NW ;

FOX, DW .

JOURNAL OF MATHEMATICAL PHYSICS, 1963, 4 (09) :1147-&

[5]

LOWDIN PO, 1965, J CHEM PHYS, V43, pS175

[6]

Reed M., 1972, METHODS MODERN MATH

[7]

Roberts A. W., 1973, CONVEX FUNCTIONS

[8]

SACHRAJDA CT, 1977, SLACPUB2015 SLAC PRE

[9]

THIRRING W, 1974, T7 U WIEN LECT NOT

[10]

THIRRING W, 1974, T8 U WIEN LECT NOT

← 1 →