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The energy of the free electron gas is calculated in three dimensions. In this calculation an integral over the wave vector space occurs which was solved by Dingle. In the low temperature approximation the integral over the Fermi distribution leads to x/sinh x type expression, called the Dingle’s formula. The spin symmetry is found to modify this formula… (More)

In two-dimensional electron gas when a large magnetic field is applied in one direction and an electric field perpendicular to it, there is a current in a direction perpendicular to both. This current is called the Hall effect. It remained without quantization until 1980 when it was found that the quantization leads to correct measurement of h/e .Therefore… (More)

- Rio Hirowati Shariffudin, Ithnin Abdul Jalil
- International Journal of Computational…
- 2004

Considering two dimensional (2-D) electron gas as one component plasma (OCP), for the state at the Landau level filling factor 1/3, Laughlin has found a many body wave function with a lower energy than the single particle energy. We plot the ground state energy of this wave function versus different m (angular momentum) by using the modified hypernetted… (More)

In two-dimensional electron gas when a large magnetic field is applied in one direction and an electric field perpendicular to it, there is a current in a direction perpendicular to both. This current is called the Hall effect. It remained without quantization until 1980 when it was found that the quantization leads to the correct measurement of h/e.… (More)

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