Abstract
Quantum characteristics of a charged particle traveling under the influence of an external time-dependent magnetic field in ionized plasma are investigated using the invariant operator method. The Hamiltonian that gives the radial part of the classical equation of motion for the charged particle is dependent on time. The corresponding invariant operator that satisfies Liouville-von Neumann equation is constructed using fundamental relations. The exact radial wave functions are derived by taking advantage of the eigenstates of the invariant operator. Quantum properties of the system is studied using these wave functions. Especially, the time behavior of the radial component of the quantized energy is addressed in detail.
Highlights
On account of the importance of plasma and plasma physics on materials science and nuclear fusion, the dynamical characteristics of plasma have been increasingly studied until now
The radius of circling particle in the high-field region is smaller than the one that would be obtained by tracking the field line from the low-field radial edge toward the high field region [1]
Stimulated by this work, we study in this paper quantum features of a charged particle moving under a time-dependent magnetic field in plasma
Summary
On account of the importance of plasma and plasma physics on materials science and nuclear fusion, the dynamical characteristics of plasma have been increasingly studied until now. The radius of circling particle in the high-field region is smaller than the one that would be obtained by tracking the field line from the low-field radial edge toward the high field region [1]. Another application of the external magnetic field in ionized plasma is the use of it in reducing the effect of splash in pulsed laser deposition technique in plasma surface science [2, 3]. Stimulated by this work, we study in this paper quantum features of a charged particle moving under a time-dependent magnetic field in plasma. Quantized energy of the particle will be evaluated in this work using ψ(r, t) and its time behavior will be analyzed in detail in some situations that the time dependence of the magnetic field is chosen differently
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