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.
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页码：485 / 504
页数：20
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