Quantization of second-order constrained Lagrangian systems using the WKB approximation

被引：6

作者：

Rabei, EM ^{[1
]}

Hassan, EH

Ghassib, HB

机构：

[1] Mutah Univ, Dept Phys, Al Karak, Jordan

[2] Univ Jordan, Dept Phys, Amman, Jordan

[3] Al Azhar Univ, Dept Phys, Gaza, Israel

来源：

INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS | 2005年 / 2卷 / 03期

关键词：

second-order constrained Lagrangian; WKB approximation; quantization of constrained systems; singular Lagrangian;

D O I：

10.1142/S0219887805000661

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

A general theory is given for quantizing both constrained and unconstrained systems with second-order Lagrangian, using the WKB approximation. In constrained systems, the constraints become conditions on the wave function to be satisfied in the semiclassical limit. This is illustrated with two examples.

引用

页码：485 / 504

页数：20