非色散双电子特洛伊波包
Nondispersive two-electron Trojan wave packets
摘要:
我们证明了在磁场和圆极化微波场中氦原子中存在稳定的非色散双电子类特洛伊波包。这些包遵循圆形轨道,我们表明,它们也可以存在于量子点。经典的两个电子遵循的轨道类似于朗缪尔发现的轨道,并被用于试图玻尔式的氦原子量子化。通过计算广义Hessian矩阵的特征值来研究这些态的经典稳定性。扩散蒙特卡罗模拟证明了氦原子和含杂质中心的量子点中双电子波包的量子稳定性。
英文摘要:
We demonstrate the existence of stable non-dispersing two-electron Trojan-like wave packets in the helium atom in combined magnetic and circularly polarized microwave fields. These packets follow circular orbits and we show that they can also exist in quantum dots. Classically the two electrons follow trajectories which resemble orbits discovered by Langmuir and which were used in attempts at a Bohr-like quantization of the helium atom. Eigenvalues of a generalized Hessian matrix are computed to investigate the classical stability of these states. Diffusion Monte Carlo simulations demonstrate the quantum stability of these two-electron wave packets in the helium atom and quantum dot helium with an impurity center.
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