These quantities can be replaced by the boson creation and annihilation operators by applying the Holstein- Primakoff transformation.
These quantities can be replaced by the boson creation and annihilation operators by applying the Holstein- Primakoff transformation. A vector whose components are these quantities is crossed with the momentum vector in a Hamiltonian describing an energy splitting observed in two-dimensional electron gases called the Rashba effect. . Multiplying these quantities by i and adding the identity element to the set produces a set isomorphic to the unit quaternions. The commutator of any two of these quantities equals 2i times the Levi-Civita symbol times the third one of these quantities. These quantities serve as the generators of SU(2). The un-normalized column vectors (1,1) ["one-comma-one"] and (1,-1) ["one-comma-negative-one"] are the eigenvectors of one of these quantities, whose eigenvalues are plus or minus h-bar over 2. For 10 points, name this set of three Hermitian "two by two" matrices used as spin operators.
These quantities can be replaced by the boson creation and annihilation operators by applying the Holstein- Primakoff transformation.
Pauli spin matrices [accept  spin operators or spin matrices before "matrices"]