New applications of the <lambda vertical bar representation in studying the angular momentum of the Laughlin state vector

作者：Fan, HY^*; Lin, JX

来源：Chinese Physics Letters, 2001, 18(4): 469-472.

We use the complete and orthonormal < lambda\ representation (Phys. Lett. A126 (1987) 150), constructed in terms of guiding centres K /- = <(M<Omega>/2)over bar>(x(0)-/ iy(0)) 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 parallel to0 > is annihilated by (II-, K-). Following this, we further employ the < lambda\ representation to derive the angular momentum of the Laughlin ground state and excited state in a direct and convenient way. This approach to studying some properties of the Laughlin state seems to be new.

• 出版日期2001-4
• 单位上海交通大学