Effects of generalized uncertainty principle on the two-dimensional DKP oscillator

Effects of generalized uncertainty principle on the two-dimensional DKP oscillator
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DOI:
10.1140/epjp/i2017-11447-3
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发表时间:
2017-04
期刊:
The European Physical Journal Plus
影响因子:
--
通讯作者:
Shurui Wu;Z. Long;C. Long;Bing-qian Wang;Yun Liu
Shurui Wu;Z. Long;C. Long;Bing-qian Wang;Yun Liu
中科院分区:
其他
文献类型:
--
作者:
Shurui Wu;Z. Long;C. Long;Bing-qian Wang;Yun Liu

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利用动量空间表象,研究了二维Duffin-Kemmer-Petiau(DKP)振子在位置和动量算符服从广义对易关系的条件下的量子特性,该关系导致了Planck长度量级的极小长度的出现.在此基础上,得到了自旋为0和自旋为1的DKP振子的能谱、波函数、几率密度和相应的热力学函数。它们明确地依赖于变形参数,它表征了所考虑的系统的结构及其有限的大小。
Using the momentum space representation, we study the quantum features of the two-dimensional Duffin-Kemmer-Petiau (DKP) oscillator under the condition that the position and the momentum operator obey the generalized commutation relation that leads to the appearance of minimal length with the order of the Planck length. In this context, the energy spectrum, the wave function, the probability densities and the corresponding thermodynamic functions of the DKP oscillator for spin-0 and spin-1 are obtained, respectively. They depend explicitly on the deformed parameterawhich characterizes the structure of the considered system and its finite size.