Abstract
A discrete Hamiltonian model of the one-dimensional electron current is constructed. Analytical solution of canonical equations analogous to the known solution of the continuous-fluid model of the one-dimensional current is found for the case of total passage of current through the planar interelectrode gap.
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C. K. Birdsall and W. B. Bridges, Electron Dynamics of Diode Regions, Academic Press, New York-London (1966).
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A. P. Privezentsev, N. N. Filipenko, and G. P. Fomenko, Zh. Tekh. Fiz.,51, No. 6, 1161 (1981).
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Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 7, pp. 98–102, July, 1985.
The authors are grateful to G. P. Fomenko for bringing this problem to their attention and for reviewing the results.
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Privezentsev, A.P., Shelomentseva, L.V. Analytical investigation of the plane-sheet model of electron current. Soviet Physics Journal 28, 604–607 (1985). https://doi.org/10.1007/BF00896196
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DOI: https://doi.org/10.1007/BF00896196