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| 論文名稱 | Trajectory Interpretation of Correspondence Pronciple: Solution of Nodal Issue |
| 發表日期 | 2020-07-25 |
| 論文收錄分類 | SCI |
| 所有作者 | C.D.Yang; S.Y. Han |
| 作者順序 | 第二作者 |
| 通訊作者 | 是 |
| 刊物名稱 | Foundations of Physics |
| 發表卷數 | |
| 是否具有審稿制度 | 是 |
| 發表期數 | 50 |
| 期刊或學報出版地國別/地區 | NATEU-歐盟 |
| 發表年份 | 2020 |
| 發表月份 | 7 |
| 發表形式 | 紙本及電子期刊 |
| 所屬計劃案 | 無 |
| 可公開文檔 |
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| 可公開文檔 |
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| 可公開文檔 |
[英文摘要] :
The correspondence principle states that the quantum system will approach the classical system in high
quantum numbers. Indeed, the average of the quantum probability density distribution reflects a classicallike distribution. However, the probability of finding a particle at the node of the wave function is zero.
This condition is recognized as the nodal issue. In this paper, we propose a solution for this issue by
means of complex quantum random trajectories, which are obtained by solving the stochastic differential
equation derived from the optimal guidance law. It turns out that the point set A, which is formed by the
intersections of complex random trajectories with the real axis, can represent the quantum mechanical
compatible distribution of the quantum harmonic oscillator system. Meanwhile, the projections of
complex quantum random trajectories on the real axis form the point set B that gives a spatial distribution
without the appearance of nodes and approaches the classical compatible distribution in high quantum
numbers. Furthermore, the statistical distribution of the point set B is verified by the solution of the
Fokker-Planck equation.
