| 1. | The realization of atom lasers opens up the new intriguing perspectives in coherent atom optics
原子激射器自产生以来，也一直是科学研究的热点。 |
| 2. | The propagation of an atom laser , which is outcoupled from a bose - einstein condensate , is investigated within the framework of quantum mechanics
原子激光作为一种新型的光源，目前还没有形成一套能够被大家普遍接受的传输理论。 |
| 3. | We discussed the propagation of the atom laser beam which had non - conservation quality factor based on the theory of abcd formulation of propagation of a time - dependent quantum system
我们试图提供一种研究原子激光传输的一般方法，为进一步的实验和理论预测提供一个理论工具。 |
| 4. | We considered the propagation of the atom laser beam during the interacting with bec , the propagation with the trap on and the free propagation with the trap off which potential can be separated by x and y
对于某一方向上品质因子守恒的情况，可以通过解析某一方向品质因子守恒的充要方程，找到原子激光的abcd形式的传播子。 |
| 5. | In chapter 3 , we discussed the propagation of the atom laser beam , with the transverse independent of gravitate direction , which had non - conservation quality factor based on the theory of abcd formulation of propagation of a time - dependent quantum system
第三章：本章在含时量子系统的schrdinger形式理论的基础上初步讨论原子激光? ?这种品质因子不守恒的含时量子系统的传输问题。 |
| 6. | We also compare our methods and results with le coq ' s . in chapter 4 , the interaction between atoms within the atom laser beam will be included in the potential energy , which leads to the non - conservation of the quality factor
第四章:由于原子激光内部原子间相互作用的存在，原有的品质因子不再守恒，需要引入描述原有品质因子和原子间相互作用综合作用效果有效品质因子来讨论原子激光的传输。 |
| 7. | Within the frame of the abcd formulation of propagator of a time - dependent quantum system , the abcd law is extended to the so - called effective abcd system which effective beam quality factor is conservative ; we discussed the system like the propagation of the atom laser beam
如果考虑原子激光内部原子间相互作用的影响，就要引入描述原有品质因子和原子间相互作用综合作用效果的物理量? ?有效品质因子和有效复数曲率半径，利用heisenberg图像得到传播子的有效abcd形式。 |
| 8. | An effective quality factor representing both the interaction between atoms within the atom laser and the quality factor is introduced to study the propagation of the atom laser beam . we derive the abcd formulation of the propagation of an atom laser beam with arbitrary beam profile including the interaction between atoms within the atom laser by means of the theory of quantum mechanics
因此，本章在schrsdinger形式理论的基础上，引入守恒的有效品质因子来讨论有效品质因子守恒的的含时量子系统?原子激光(考虑了原子激光内部原子间相互作用)传播子的有效abco形式。 |
| 9. | In chapter 1 , a review of the atom lasers and the atom laser beams is given . the compare between the atom laser and the optical laser is also represented , which is the foundation of the propagation of an atom laser beam . at the end of this chapter , we list our works about the propagation of an atom laser beam
第一章：本章回顾了原子激光器的理论和实验方面的进展；比较了原子激光和激光之间的差异，为进一步选择适当的方法来研究原子激光的传输奠定了基础；最后，综述了原子激光传输的研究进展并总结了本人的工作。 |
| 10. | In chapter 2 , a schrodinger formulation for paraxial light beam propagation of the real and comprehensive refractive indexes is represented . the equation for the atom laser beam wave - function is also given by a schrodinger equation , which is similar to the equation of the time - dependent system . therefore , it is possible to investigate the propagation of an atom laser beam
第二章：本章介绍了傍轴光束在实数折射率介质和复数折射率介质中传输的schrdinger形式理论，同时指出由于原子激光的传输满足schrdinger方程，与含时量子系统的传输方程类似，故利用含时量子系统的schrdinger形式理论来研究原子激光的传输是可行的。 |
