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Electron Monopole Duality in Quantum Hall Effect

机译:量子霍尔效应中的电子单极对偶

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Starting from the duality between electric and magnetic field, we have made an attempt to discuss the quantum hall effect from the consideration of magnetic monopole in view of electron monopole duality. Starting from the dual dy-namics of electric and magnetic charges, we have reformulated a consistent theory of quantum hall effect in presence of monopole. Speculating the existence of magnetic monopoles in magnetic materials (metals), we have accordingly modi-fied the parameters; like drift velocity, current density, Hamiltonian and eigen values and eigen function for harmonic oscillator; resposible to examine the quantum Hall effect in metals.
机译:从电场和磁场之间的对偶性出发,我们尝试从电子单极对偶性的角度考虑磁性单极对量子霍尔效应的讨论。从带电和磁的双重动力学出发,我们重新提出了在单极子存在下量子霍尔效应的一致理论。推测磁性材料(金属)中的磁性单极子的存在,我们相应地修改了参数。如谐波振荡器的漂移速度,电流密度,哈密顿和本征值以及本征函数;可用于检查金属中的量子霍尔效应。

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