Quantum Hall effect in noncommutative quantum mechanics |
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Authors: | Sayipjamal Dulat and Kang Li |
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Institution: | (1) School of Physics Science and Technology, Xinjiang University, Urumqi, 830046, China;(2) Department of Physics, Hangzhou Normal University, Hangzhou, 310036, China;(3) The Abdus Salam International Center for Theoretical Physics, Trieste, Italy |
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Abstract: | We study the quantum Hall (QH) effect for an electron moving in a plane whose coordinates and momenta are noncommuting under the influence of uniform external magnetic and electric fields. After solving the time independent Schrödinger equation both on a noncommutative space (NCS) and a noncommutative phase space (NCPS), we obtain the energy eigenvalues and eigenfunctions of the relevant Hamiltonian. We derive the electric current whose expectation value gives the QH effect both on a NCS and a NCPS. |
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Keywords: | PACS" target="_blank">PACS 02 40 Gh 11 10 Nx 03 65 -w |
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