New Applications of the <λ| Representation in Studying the Angular Momentum of Laughlin State Vector
FAN Hong-Yi1,2, LIN Jing-Xian2
1Department of Applied Physics, Shanghai Jiao Tong University, Shanghai 200030
2Department of Materials Science and Engineering, University of Science and Technology of China, Hefei 230026
New Applications of the <λ| Representation in Studying the Angular Momentum of Laughlin State Vector
FAN Hong-Yi1,2;LIN Jing-Xian2
1Department of Applied Physics, Shanghai Jiao Tong University, Shanghai 200030
2Department of Materials Science and Engineering, University of Science and Technology of China, Hefei 230026
Abstract： 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.
FAN Hong-Yi;LIN Jing-Xian. New Applications of the <λ| Representation in Studying the Angular Momentum of Laughlin State Vector[J]. 中国物理快报, 2001, 18(4): 469-472.
FAN Hong-Yi, LIN Jing-Xian. New Applications of the <λ| Representation in Studying the Angular Momentum of Laughlin State Vector. Chin. Phys. Lett., 2001, 18(4): 469-472.
2001, Vol. 18 
