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We consider the effective mass model of spinless electrons in single wallcarbon nanotubes that is equivalent to the Dirac equation for masslessfermions. Within this framework we derive all possible energy independent hardwall boundary conditions that are applicable to metallic tubes. The boundaryconditions are classified in terms of their symmetry properties and wedemonstrate that the use of different boundary conditions will result invarying degrees of valley degeneracy breaking of the single particle energyspectrum.

Symmetry of boundary conditions of the Dirac equation for electrons in carbon nanotubes