Based on the quasi-classical approximation, a general approach is proposed for constructing non-stationary quantum states of a charged particle in a magnetic field, when the dissipative forces of viscous friction and drag, proportional to the velocity and the square of the velocity, respectively, are also significant. The corresponding quasi-classical Green’s function is found, with the help of which the squeezed and coherent states of the particle are studied. It is shown that the dissipation and a magnetic field suppress the quantum properties of the particle. This is especially true for the transverse motion with respect to the magnetic field. Over time, the coherent and squeezed states transform into the same static state, which is characterized by a zero uncertainty of the transverse coordinates and an uncertainty of the longitudinal coordinate, which contains information about the initial velocity of the particle.

中文翻译：

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耗散介质条件下强磁场中带电粒子的非稳态准经典态

基于准经典近似，提出了一种构造磁场中带电粒子非稳态量子态的通用方法，当粘性摩擦和阻力的耗散力与速度和速度的平方成正比时，分别也显着。找到了相应的准经典格林函数，借助该函数研究了粒子的压缩态和相干态。结果表明，耗散和磁场抑制了粒子的量子特性。对于相对于磁场的横向运动尤其如此。随着时间的推移，相干态和压缩态转变为相同的静态，其特点是横坐标的不确定性为零，纵坐标的不确定性包含有关粒子初速度的信息。