Semiclassical Calculation of the Photodetachment Cross Section of Hydrogen Negative Ion Inside a Square Microcavity

Quantum and semiclassical studies on photodetachment cross sections of H−in a harmonic potential

“…To give a clear physical picture for the oscillations and the cross section, Du applied closed-orbit theory (COT) to explain the oscillations as an interference of the initial wave and the returning wave caused by the electric field. [4][5][6][7] Inspired by the studies of the photodetachment of H − in an electric field, intensive researches in the photodetachment of H − in different environments or external fields have also been done, such as in electric and magnetic fields with any orientation, [8,9] in an inhomogeneous electric field, [10,11] near a metal surface, [12,13] inside a square microcavity, [14] inside a circular microcavity, [15] near a deform sphere, [16] and near a dielectric surface in a magnetic field. [17] The photodetachment of H − in these systems have been studied theoretically using either quantum method or COT or both.…”

Interference of the photodetached electron waves propagating in perpendicular electric and magnetic fields

“…When the detached electron moves far away from the hydrogen atom, its wave functions can be constructed using the semi-classical approximation. [21][22][23][24] Therefore, we should search out all the detached electron's classical trajectories which emitted out from the origin and arrived at a given point on the detector plane.…”

Photodetachment electron flux of H− in combined electric and magnetic fields with arbitrary orientation

“…In order to calculate the electron's wave functions, the whole space is divided into two spatial regions [14]: (1) the core region inside a small sphere with the radius R ≈ 5a 0 (a 0 is the Bohr radius), where the atomic core field influence exists, while the external electric and magnetic field can be neglected; and (2) the outer region, where the influence of the electric and magnetic field is significant and the interaction between the detached electron and the hydrogen atom can be neglected. Therefore, we can use the semi-classical approximation to describe the electron's wave function [20][21][22][23].…”