查询词典 degeneracies

This paper concerns with the initial and boundary value problem for a nonlinear diffusion equation with degeneracies.

研究具退化性的一类非线性扩散方程的初边值问题。

Based on them, we calculated precisely some enegy levels of P-wave and D-wave of a helium atom, presented and proved the general interdimensional degeneracies for a quantum N-body system, derived the general spherical spinor functions and the exact solution to the Dirac equation for the hydrogen atom, and proved uniformly the Levinson theorem for the Dirac equation in D-dimensions.

在此基础上，我们精确计算了氦原子P波和D波若干较低能级，建立和证明了量子N体系统不同维数状态间最普遍的简并，推导出任意 D 维空间广义球旋函数和Dirac方程氢原子的精确解，统一地提出和证明了任意 D维空间Dirac方程Levinson定理的一般形式。

However, when system has some degeneracies, it is obviously not sufficient to discuss them only in a simple way or only discuss any one of them.

然而，当系统具有某些退化性时，要简单的讨论它们任何一类都是不够充分的。

In some cases, the degeneracies of infinite equilibria are so high that the common methods including the blowing-up method (which decomposes a complicated equilibrium into several simple ones with the Briot-Bouquet\'s transformation), the Z-sector method and the normal sector method do not work.

在某些情形，我们发现：当无穷远奇点具有较高退化性时，常用的blowing-up(应用Briot-Bouquet变换将一个复杂奇点打散成几个简单奇点)方法、Z-扇区方法(来源：A97BC论文网www.abclunwen.com)和正常区域的办法都不方便甚至不能使用。

Theoretically,the intershell coupling makes energy bands of multiwalled carbon nanotubes split and the degeneracies in the energy bands reduced,and the bandgaps of multiwalled carbon nanotubes decreased.The small bandgaps of multiwalled carbon nanotubes ensure the presence of a vibrational manifold in the optical region for each shell so as to minimize optical emission.

计算结果表明，层间耦合使多壁碳纳米管的能带分裂，能级简并度降低，同时使多壁碳纳米管的带隙减小，小的带隙确保了每层中都存在振动模式，多数激发态电子通过相邻管的快速振动转化能量而产生无辐射跃迁，使其荧光很难观察到。

When the electron interaction, as present in the PPP Hamiltonian, is included even at the level of mean field approximation, the accidental degeneracies in the energy bands of CNTs satisfying the condition, mod(m-n, 3)=0, are removed completely except armchair CNTs.

如果将电子作用力纳入考量，即使只用平均场近似，在奈米碳管能带中满足mod(m-n，3)=0之偶然简并将会消失，唯有扶手型奈米碳管得以豁免。

Breath, muscle contraction of the buttocks; arch body, as far as possible to hold his head, right leg straight towards the ceiling (peg-leg knee in order to avoid muscle tension).

呼气，收缩臀部肌肉；拱起身体，尽量抬起头来，右腿伸直朝向天花板（膝微屈，以避免肌肉紧张）。

The cost of moving grain food products was unchanged from May, but year over year are up 8%.

粮食产品的运输费用与5月份相比没有变化，但却比去年同期高8％。