Quantum and classical electrons in a potential well with uniform electric field

Nguyen, D.; Odagaki, T.

doi:doi:10.1119/1.15132

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American Journal of Physics -- May 1987 -- Volume 55, Issue 5, pp. 466

Quantum and classical electrons in a potential well with uniform electric field

D. Nguyen¹ and T. Odagaki²

¹Department of Physics, Brandeis University, Waltham, Massachusetts 02254
²GTE Laboratories, Inc., Waltham, Massachusetts 02254

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We calculate the polarization of the quantum and classical electrons confined in a one‐dimensional infinite potential well in the presence of a static electric field. As the external field is increased, the polarization always increases for a quantum electron in the ground state, but the polarization of an electron in any excited state decreases for a weak field and increases after passing a minimum. The polarization of a classical electron with nonzero initial kinetic energy is similar to the response of a quantum electron in excited states. The polarization determined by the diffusion equation is similar to the polarization of a quantum electron in the ground state.