论文标题
仍在学习空间维度：从氢原子的描述通过广义波方程的尺寸d $ \ geq $ 3
Still learning about space dimensionality: from the description of hydrogen atom by a generalized wave equation for dimensions D$\geq$3
论文作者
论文摘要
氢原子应该通过Schrödinger方程的概括来描述，其中Hamiltonian依赖于迭代的Laplacian和类似库仑的潜在$ r^{ - β} $。从使用$ 1/n $扩展方法的先前获得的解决方案开始，这表明可以在理解Paul Ehrenfest提出的世界维度的问题上发出新的光。获得了令人惊讶的新结果。确实，我们第一次可以理解，不仅能量的迹象，而且氢原子的基态能量的价值与空间的三重性质有关。
The hydrogen atom is supposed to be described by a generalization of Schrödinger equation, in which the Hamiltonian depends on an iterated Laplacian and a Coulomb-like potential $r^{-β}$. Starting from previously obtained solutions for this equation using the $1/N$ expansion method, it is shown that new light can be shed on the problem of understanding the dimensionality of the world as proposed by Paul Ehrenfest. A surprisingly new result is obtained. Indeed, for the first time, we can understand that not only the sign of energy but also the value of the ground state energy of hydrogen atom is related to the threefold nature of space.
