带虚电荷的Steiljes静电模型解决了波粒二象性
Steiljes electrostatic model with imaginary charges resolves wave-particle duality
摘要：
本文利用带虚电荷的Steiljes静电模型，将量子束缚态问题映射到具有相同环量或强度的$N$点涡上.我们还表明，这些$N$点电荷或漩涡，成为虚的，在恒定的背景场将承认一个波解下傍轴波近似。因此，在量子力学中，只要傍轴近似是有效的，它的行为就像波一样。
英文摘要：
In this paper, we show that the quantum bound state problems are mapped to $N$ point vortices with the identical circulation or strength using the Steiljes electrostatic model with imaginary charges. We also show that these $N$ point charges or vortices, become imaginary, in a constant background field will admit a wave solution under paraxial wave approximation. Therefore, in quantum mechanics as long as paraxial approximation is valid it behaves like a wave.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
