Abstract

The results of an approximate calculation of the maximal value of the quantum number of n = n_m for the quantized standing longitudinal electron de Broglie half-waves λ_ezn/2 = l₀/n long and, accordingly, of the maximal number of n_m of the quantized zones of the longitudinal periodic localization with the length Δz_nh of the drifting free electrons in the cylindrical conductors of finite size (l₀ in length and r₀ in radius) with the axial conduction current i₀(t) of the indicated kinds and the amplitude and time parameters (ATPs) are presented, taking into account the quantum-wave nature of the electric conduction current i₀(t) of different kinds (direct, alternating, and pulse) and ATPs in the metal conductors. The results of a verification of the calculated quantum-mechanical relationship to determine the quantum number n_m confirm its validity in such areas of engineering as high-voltage high-current pulse equipment and the electrophysical processing of metals by a strong electromagnetic field and by the pressure of a large pulse current.

中文翻译：

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导电电流下金属导体中漂移电子纵向周期局域最大区数的计算

摘要

量子数最大值n = n _m的量子数最大值的近似计算结果，用于量子化驻纵向电子德布罗意半波 λ _ezn / 2 = l ₀ /n long 以及相应的n的最大数_m纵向周期局域化的量子化区域，其长度为 Δ z _nh，是有限尺寸圆柱形导体中的漂移自由电子（长度为l _{0 ，半径为}r ₀），轴向传导电流i ₀ ( t ) 为考虑到金属导体中不同类型（直接、交流和脉冲）的导电电流i ₀ ( t ) 和 ATP 的量子波性质，给出了指示的类型以及幅度和时间参数 (ATP) 。验证计算出的量子力学关系以确定量子数nm的结果证实了其在高压大电流脉冲设备以及强电磁场和金属电物理处理等工程领域的有效性_。大脉冲电流的压力。