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悬链曲面上的点粒子动力学及扩展空间约束系统量子化 被引量:1
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作者 寻大毛 欧阳涛 +1 位作者 谈荣日 刘慧宣 《物理学报》 SCIE EI CAS CSCD 北大核心 2015年第24期61-68,共8页
扩张型正则量子化方案的核心内容是位置、动量以及哈密顿量同时量子化.通过分析悬链面上粒子的扩张型正则量子化方案,并且与薛定谔理论进行比较,发现内禀几何中二维悬链面给不出与薛定谔理论相一致的结果,而考虑将二维悬链面嵌入在三维... 扩张型正则量子化方案的核心内容是位置、动量以及哈密顿量同时量子化.通过分析悬链面上粒子的扩张型正则量子化方案,并且与薛定谔理论进行比较,发现内禀几何中二维悬链面给不出与薛定谔理论相一致的结果,而考虑将二维悬链面嵌入在三维欧氏空间之后,还需要将正则量子化方案进行扩张,可以得到体系的几何势能和几何动量,并与薛定谔理论相一致. 展开更多
关键词 量子化 内禀几何 几何势能 几何动量
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Theoretical Study on the Low-Lying Electronic States of He_2,He_2^+,and He_2^(++)
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作者 张云光 查新未 高涛 《Communications in Theoretical Physics》 SCIE CAS CSCD 2012年第6期1048-1052,共5页
The equilibrium geometries, potential energy curves, spectroscopic dissociation energies of the ground and low-lying electronic states of He2, He2^+ and He2^++ are calculated using symmetry adapted cluster/symmetry... The equilibrium geometries, potential energy curves, spectroscopic dissociation energies of the ground and low-lying electronic states of He2, He2^+ and He2^++ are calculated using symmetry adapted cluster/symmetry adapted cluster-configuration interaction (SAC/SAC-CI) method with the basis sets CC-PV5Z. The corresponding dissociation limits for all states are derived based on atomic and molecular reaction statics. The analytical potential energy functions of these states are fitted with Murrell-Sorbie potential energy function from our calculation results. The spectroscopic constants Be, αe, ωe, and ωeχe of these states are calculated through the relationship between spectroscopic data and analytical energy function, which are in well agreement with the experimental data. In addition, the origin of the energy barrier in the ground state X^I∑9^+ of He2^++ energy curve are explained using the avoided crossing rules of valence bond model. 展开更多
关键词 potential energy curve spectroscopic data Murrell-Sorbie function
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