The Stokes formula and non integrable phase factor of the particle's wave-function are expressed by using intensity of the weak and electromagnetic gauge fields.

1、

As a macroscopic quantum system, BEC has macroscopic wave-function. Its phase is coherent and it can exhibit special macroscopic quantum phenomena.

BEC作为宏观量子系统，具有宏观波函数，整个体系是相位相干的，能够表现特有的宏观量子现象。

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2、

On the other hand, the differential section, which is reflected the information about the phase position of the wave-function, has been presented in this paper.

另一方面，这些研究还给出了自电离的微分截面，提供了波函数的相位信息。

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3、

This coherence effect is qualitatively different from quantum beats, which originate from interference between wave-function amplitudes.

这种相干效应与起源于波函数几率幅之间干涉的量子拍频有着很大的差别。

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4、

A New Wave-Function Renormalization Prescription for Unstable Particles

不稳定粒子的一种新的波函数重整化方案

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5、

Wave-function Solutions of High Frequency for Homogeneous Isotropic Circular Cylinder

均匀各向同性介质圆柱的高频波函数解

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6、

Energy-Level and Wave-Function of the Charged Space Rotor in the Weak Uniform Electromagnetic Field

均匀弱电磁场中荷电空间转子的能级与波函数

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7、

Wave-function description for electron in Hall Effect

霍耳效应中电子的波函数描述

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8、

And these wavefunctions are the eigenfunctions.

这些波函数就是特征函数。

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9、

The reaction probabilities of the collinear reaction F+ H 2 ( 0)→ H+ HF(υ) were calculated, using the LCAC SW ( Linear Combinations of Arrangement Channels Scattering Wavefunctions) method.

用排列通道线性组合散射波方法（LCAC－SW方法）计算了一维共线反应F＋H2（0）→H＋HF（υ）的反应几率。

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10、

What we are going to say is that the wavefunction for molecular orbitals is going to be an additive sum of the wavefunctions of atomic orbitals.

我想说的是，分子轨道的波函数，就是多个原子轨道，波函数的线性叠加。

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11、

Abstract: the wavefunctions and energy eigenvalues for the ring-shaped oscillator are obtained using the ideas of supersymmetric quantum mechanics and shape invaricace.

文摘：采用量子力学中的超对称性和形不变性，讨论环形振子的波函数和能量本征值。

provided by jukuu

12、

The basic idea is that when a quantum system interacts with a measuring apparatus, their respective wavefunctions become entangled, so that the original quantum system ceases to exist as an independent entity.

基本的思想就是当一个量子系统互相与测量仪器作用时候，它们各自波函数变得纠缠，因此最初量子系统终结了以一独立实体存在。

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13、

And here are the samples of the wavefunctions.

这是波函数的例子。

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14、

In present paper the high-order approximation to the homogeneous solution is found by use of a class of generalized Airy functions.

本文采用广义Airy函数方法，求出了高级近似。

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15、

Generalized Airy Functions with Complex Variables

复变量广义Airy函数

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16、

On the complex Airy functions in doubly periodic plane elasticity

双周期平面弹性理论中的复Airy函数

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17、

Proof of the GD-conjectures and estimation of Euler's totient function in the RSA public key system

GD&猜想的证明和RSA公钥体制中欧拉函数值的估计

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18、

The Euler φ-function in the quadratic number fields

二次数域上Eulerφ-函数的结构

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19、

Generalization of Euler ψ Function

Eulerψ函数的推广

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20、

In this paper, we discuss properties of Euler's function, and relations it and other number theoretic functions.

本文详尽地讨论了Euler函数的性质，以及它与其它数论函数之间的联系。

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