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Leading-terms even and odd coherent states, which consist of the first terms innumber-state expansion of even and odd coherent states, are introduced in this paper inorder to see, from internal structure of even and odd coherent states, how to come to beingthe typicaI non-classical properties that even coherent states exhibit only squeezing butno antibunching at all and, in contrast to this, odd coherent states have only antibunchingbut no squeezing- Present work clearly shows how quickly the behavior of leadingtermseven...

Leading-terms even and odd coherent states, which consist of the first terms innumber-state expansion of even and odd coherent states, are introduced in this paper inorder to see, from internal structure of even and odd coherent states, how to come to beingthe typicaI non-classical properties that even coherent states exhibit only squeezing butno antibunching at all and, in contrast to this, odd coherent states have only antibunchingbut no squeezing- Present work clearly shows how quickly the behavior of leadingtermseven and odd coherent states approaches that of even and odd coherent states as thenumber of number states increases. It is found that the typical properties of even and oddcoherent states strongly depend on a few first terms, and therefore leadingterms even andodd coherent states with proper number of terms can be used to replace even and oddcoherent states for some practical reasons.

奇相干态只呈现反群聚而绝无压缩,偶相干态正好与之相反,只有压缩而无反群聚性。为了从内部窥视一下奇偶相干态的这种独特的非经典性是怎样产生的,我们引入一类新的量子光场态——领头项奇仍相干态。通过对这些量干态的研究,清楚地揭示出随着领头项奇偶相干态中项数的增多,它们的性质是怎样趋于奇偶相干态的。我们发觉,专偶相干态的典型性质实际上主要是由前面少数几个数态项决定的,特别是偶相干态的最大压缩实际上仅用前面三项的叠加即可得到,因此在实际中可用适当的领头项奇偶相干态来代替奇仍相干态。

 We introduce a class of quantum states which are coherent states but one numberstate taken out from each . The various properties of such quantum states are studied when different numberstates taken out. Some very valuable results are obtained.

引入一种新的量子光场态|α,m>,,它们是由相干态|α>中去掉一个数态|m>后经归一化得到,研究了m顺次取不同值时态|α,m>的各种量子统计性质,这相当于用一根探针在相干态内部顺次扫描数态以观察各不同数态在决定相干态性质上所起的作用,由此得到了一些很有意义的结果,其中特别是我们发现了这样一些量子光场态——它们表明反群聚与亚泊松分布这两种非经典光即使在单模情况下也只是基本等价而不是完全等价。

Ab initio calculations were carried out at the 4-31G basis set level for the geometry optimization of three-membered rings. Relative stabilities of these rings were compared from the calculation results. It was indicated that exo-hydrogen will stabilize the ring, while lone pair of electrons will destabilize the ring. The effects of electron-rich and electron-poor on ring stabilities were also discussed.

本文给出了非简谐谐振子湮灭算符四次幂的正交归一本征态,并研究了它的N次方压缩和反群聚效应.

 
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