Quantum phase transitions of the Dirac oscillator in the anti-Snyder model
Quantum phase transitions of the Dirac oscillator in the anti-Snyder model
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DOI：
10.1103/physrevd.92.045019
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发表时间：
2015-07
影响因子：
5
通讯作者：
M. Presilla;O. Panella;P. Roy
中科院分区：
文献类型：
--
作者：
M. Presilla;O. Panella;P. Roy
在反Snyder修正的不确定关系中，我们得到了（$2+1$）维Dirac振子在均匀磁场中的精确解（$p\ensuremath{\le}{p}_{\mathrm{max}}=1/\sqrt{\ensuremath{\beta}}$）.在普通量子力学中（$\ensuremath{\beta}\ensuremath{\rightarrow}0$），这个系统已知有一个左右手征量子相变（QPT）。我们表明，一个有限的动量截止修改引入额外的量子相变的频谱。它还表明，动量截止的存在修改的状态的简并性。
We obtain exact solutions of the ($2+1$) dimensional Dirac oscillator in a homogeneous magnetic field within the anti-Snyder modified uncertainty relation characterized by a momentum cutoff ($p\ensuremath{\le}{p}_{\mathrm{max}}=1/\sqrt{\ensuremath{\beta}}$). In ordinary quantum mechanics ($\ensuremath{\beta}\ensuremath{\rightarrow}0$) this system is known to have a single left-right chiral quantum phase transition (QPT). We show that a finite momentum cutoff modifies the spectrum introducing additional quantum phase transitions. It is also shown that the presence of momentum cutoff modifies the degeneracy of the states.