New Applications of the <λ| Representation in Studying the Angular Momentum of Laughlin State Vector

We use the complete and orthonormal <λ| representation (Phys. Lett. A126 (1987) 150) constructed in terms of guiding centers K_± = MΩ/2(x₀ iy₀) and kinetic momenta II_± describing an electron in a uniform magnetic field, to identify that the Laughlin state vector is N i < j(K_+i - K_+j)^m ||0 >, where ||0 > is annihilated by ( II_-,K_-). Following this, we further employ the <λ| representation to derive the angular momentum of the Laughlin ground state and excited state in a direct and convenient way. This approach for studying some properties of the Laughlin state seems to be new.