The relativistic two-dimensional harmonic oscillator

被引：1
|
作者：
Nagiyev, S. M. [1 ]
Jafarov, E. I. [1 ]
Efendiyev, M. Y. [2 ]
机构：
[1] Azerbaijan Natl Acad Sci, Inst Phys, AZ-1143 Baku, Azerbaijan
[2] Azerbaijan Cooperat Univ, AZ-1106 Baku, Azerbaijan
来源：
NUOVO CIMENTO DELLA SOCIETA ITALIANA DI FISICA B-BASIC TOPICS IN PHYSICS | 2009年 / 124卷 / 04期
关键词：
QUANTIZATION; MODEL;
D O I：
10.1393/ncb/i2009-10777-7
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
The two-dimensional relativistic configurational (r) over right arrow -space is proposed and the exactly solvable finite-difference model of the harmonic oscillator in this space is constructed. The wave functions of the stationary states and the corresponding energy spectrum are found for the model under consideration. It is shown that they have a correct non-relativistic limit. An explicit, form of the plane momentum operator is determined.
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页码：395 / 403
页数：9
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