任意维具有质量刺猬的Dirac哈密顿量的谱
Spectrum of the Dirac Hamiltonian with the mass-hedgehog in arbitrary dimension
摘要：
证明了d维各向同性质量刺猬势下Dirac哈密顿量的平方是d个量子态上虚玻色子和费米子的数算符。这一结果使得我们可以得到任意维中具有刺猬质量组态的狄拉克哈密顿量的完整谱和简并度。例如，该结果涉及二维石墨烯中的一般超导或绝缘涡旋的核心中的低能态，以及三维拓扑平凡绝缘体界面处的超导涡旋中的低能态。d=2时的谱也可以用偶然的SU（2）对称性和哈密顿量的超对称性来理解。
英文摘要：
It is shown that the square of the Dirac Hamiltonian with the isotropic mass-hedgehog potential in d dimensions is the number operator of fictitious bosons and fermions over d quantum states. This result allows one to obtain the complete spectrum and degeneracies of the Dirac Hamiltonian with the hedgehog mass configuration in any dimension. The result pertains to low-energy states in the core of a general superconducting or insulating vortex in graphene in two dimensions, and in the superconducting vortex at the topological - trivial insulator interface in three dimensions, for example. The spectrum in d=2 is also understood in terms of the underlying accidental SU(2) symmetry and the supersymmetry of the Hamiltonian.
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。
