非齐次偏微分波动方程描述微观世界中关联对态
Non-homogeneous Partial Differential Wave Equation for the Description of Correlated Pair States in the Microworld
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中文总结 AI 辅助
本文提出非齐次线性二阶偏微分方程描述微观关联对（如库珀对、双光子）动力学，其复解含空间背景与倍增相位实现自然局域化，并推导连续性、能量平衡方程，计算离散谱及隧穿和电磁辐射非线性效应。
中文摘要 AI 辅助
本文提出并研究了一个新的非齐次线性二阶偏微分方程（PDE），旨在描述微观世界中关联对客体（库珀对或双光子的类似物）的动力学。所提出方程的基本复解初始包含一个空间背景和倍增相位，这使得对凝聚体能够在空间中自然局域化。本工作推导了连续性和能量平衡方程，计算了势场中的离散谱，并描述了隧穿以及配对聚集体与电磁辐射非线性相互作用的特定效应。
英文摘要
In this paper, a new non-homogeneous linear second-order partial differential equation (PDE) is proposed and investigated, designed to describe the dynamics of correlated pair objects of the microworld (analogues of Cooper pairs or biphotons). The fundamental complex solution of the proposed equation initially contains a spatial background and a doubled phase, which allows for a natural localization of the pair condensate in space. In this work, the continuity and energy balance equations are derived, the discrete spectrum in potential fields is calculated, and specific effects of tunneling and nonlinear interaction of the pair conglomerate with electromagnetic radiation are described.
发表机构
- Institute of Physics, Ministry of Science and Education of the Republic of Azerbaijan（阿塞拜疆共和国教育部物理研究所）
- Department of Physics, Ur.C., Islamic Azad University（伊斯兰阿扎德大学物理系）
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