Applications of a property of the Schrodinger equation to the modeling of conservative discrete systems

被引：13

作者：

Popa, A ^{[1
]}

机构：

[1] Natl Inst Laser Plasma & Radiat Plys, Dept Laser, Bucharest 76900, Romania

来源：

JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN | 1998年 / 67卷 / 08期

关键词：

Schrodinger equation; Hamilton-Jacobi equation; calculation model; energetic eigenvalues;

D O I：

10.1143/JPSJ.67.2645

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Recently we have demonstrated in a mathematical paper the following property: The energy which results from the Schrodinger equation can he rigorously calculated by line integrals of analytical functions, if the Hamilton-Jacobi equation, written for the same system, is satisfied in the space of coordinates by a periodical trajectory. We present now an accurate analysis model of the conservative discrete systems, that is based on this property. The theory is checked for a lot of atomic systems. The experimental data, which are ionization energies, are taken from well known books.

引用

页码：2645 / 2652

页数：8

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