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arXiv 1608.00503math-phcond-mat.mes-hallhep-phmath.MPquant-ph
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石墨烯中的原子坍缩:幺正性的丧失

Atomic Collapse in Graphene: Lost of Unitarity

David Valenzuela, Saúl Hernández-Ortiz, Marcelo Loewe, Alfredo Raya

摘要:

我们在超对称量子力学的背景下探讨了单极杂质(包括电杂质和磁杂质)导致石墨烯中原子坍缩的问题。对于电杂质,在分解径向狄拉克哈密顿量并识别超荷时,使基态{ \em fall-into-the-center}的临界电荷的存在转化为相应哈密顿量的厄米性的损失,从而失去理论的么正性。对于磁性杂质的问题,在这种情况下,保持相应势的所有参数值的么正性转化为不存在原子坍缩。

英文摘要:

We explore the problem of atomic collapse in graphene by monopole impurities, both electric and magnetic, within the context of supersymmetric quantum mechanics. For electric impurities, upon factorizing the radial Dirac Hamiltonian and identifying the supercharges, existence of a critical charge that makes the ground state {\em fall-into-the-center} translates into lost of hermicity for the corresponding Hamiltonian and hence lost of unitarity of the theory. For the problem of magnetic monopole impurities, preservation of unitarity for all values of the parameters of the corresponding potential translates into the absence of atomic collapse in this case.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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