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首页> 外文期刊>Mathematical Problems in Engineering >Alternating Coordinate-Momentum Representation for Quantum States Based on Bopp Operators for Modelling Long-Distance Coherence Aspects
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Alternating Coordinate-Momentum Representation for Quantum States Based on Bopp Operators for Modelling Long-Distance Coherence Aspects

机译：基于Bopp算子的量子态的交替坐标-动量表示法，用于建模长距离相干方面

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摘要

This study presents an alternating coordinate-momentum representation for propagation and transition of associated wave function, based on Bopp operators and on a certain symbolic determinant corresponding to a set of two linear equations with null free terms. It is shown that this alternating representation can justify in a good manner the patterns created through reflection/refraction of waves on nonperfectly smooth interfaces and phase correspondence of diffracted beams without the need of supplementary support functions. Correlations with Lorentz transformation of wave functions by interaction with a certain material medium (the space-time origin of a wave-train being adjusted) are also presented, and supplementary aspects regarding the use of electromagnetic scalar and vector potentials for modelling evolution within this alternating representation are added.
机译：这项研究基于Bopp算子和与一组带有零自由项的两个线性方程组相对应的某个符号行列式，给出了相关波函数的传播和过渡的交替坐标-动量表示。结果表明，这种交替表示可以很好地证明通过波在非完美光滑界面上的反射/折射和衍射光束的相位对应所创建的图案，而无需辅助功能。还介绍了通过与某种物质介质相互作用（调整了波列的时空原点）与波函数的洛伦兹变换的相关性，以及关于使用电磁标量和矢量势来模拟这种交替情况下的演化的补充方面。表示已添加。

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