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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
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| Cite this article: |
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FAN Hong-Yi, LIN Jing-Xian 2001 Chin. Phys. Lett. 18 469-472 |
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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.
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03.65.Bz
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Published: 01 April 2001
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