准对称和正交超对称量子力学的约化和玻色化
Reducibility and bosonization of parasupersymmetric and orthosupersymmetric quantum mechanics
摘要:
阶- $p$准对称和正交超对称量子力学被证明是完全可约的,当它们被实现在广义变形振子代数的生成元和一个${\rm Z}_{p+1}$ -分级结构施加在Fock空间。不可约分量提供对应于未破和破情况的玻色化算子的$p+1$集合。这样的玻色子化是最小的。
英文摘要:
Order-$p$ parasupersymmetric and orthosupersymmetric quantum mechanics are shown to be fully reducible when they are realized in terms of the generators of a generalized deformed oscillator algebra and a ${\rm Z}_{p+1}$-grading structure is imposed on the Fock space. The irreducible components provide $p+1$ sets of bosonized operators corresponding to both unbroken and broken cases. Such a bosonization is minimal.
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