论文标题
用广义函数电位和初始值建模Schrödinger方程衍射
Modeling Schrödinger equation diffraction with generalized function potentials and initial values
论文作者
论文摘要
我们讨论了用于几乎平面模式下量子粒子衍射的schrödinger方程设置的正则化方法的光谱特性。物理上有意义的初始值和电势是根据正规化家庭的建模，解决方案可以解释为广义功能。我们建立了正则化解决方案家族的光谱和散射理论特性，并与物理中使用的更直接近似和简化进行了比较。
We discuss spectral properties of a regularization approach to a Schrödinger equation set-up for the diffraction of a quantum particle at almost planar patterns. Physically meaningful initial values and potentials are modeled in terms of regularizing families and the solutions can be interpreted as generalized functions. We establish spectral and scattering theoretical properties of the regularizing solution families and provide some comparison with the more direct approximations and simplifications used in physics.
