▎ 摘　　要

Quantum properties of a monolayer graphene are studied in terms of the Clifford algebras. The simplest of algebras suitable for this purpose appears to be Cl-3,Cl-0 algebra, the basis vectors of which represent 3D rather than 2D Euclidean space. If electron spin is included, higher dimensional algebras should be used. It is shown that Cl-3,Cl-1 algebra which describes Minkowski's spacetime is suitable for this purpose. It is shown that in both algebras, Cl-3,Cl-0 and Cl-3,Cl-1, the conduction and valence band spinors are rotors of 3D Euclidean space. Properties of electron spin and Berry phase when exchange and spin-orbit interactions are taken into account are illustrated within Clifford algebra formalism.