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Boundedness and convergence of perturbed corrections for helium-like ions in ground states 下载免费PDF全文
Applying the improved Rayleigh SchrSdinger perturbation theory based on an integral equation to helium-like ions in ground states and treating electron correlations as perturbations, we obtain the second-order corrections to wavefunctions consisting of a few terms and the third-order corrections to energicity. It is demonstrated that the corrected wavefunctions are bounded and quadratically integrable, and the corresponding perturbation series is convergent. The results clear off the previous distrust for the convergence in the quantum perturbation theory and show a reciprocal development on the quantum perturbation problem of the ground state helium-like systems. 相似文献
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The performance of the so-called superconvergent quantum perturbation theory (Wenhua Hal et al2000 Phys. Rev. A 61 052105) is investigated for the case of the ground-state energy of the helium-like ions. The scaling transformation τ → τ/Z applied to the Hamiltonian of a two-electron atomic ion with a nuclear charge Z (in atomic units). Using the improved Rayleigh-SchrSdinger perturbation theory based on the integral equation to helium-like ions in the ground states and treating the electron correlations as perturbations, we have performed a third-order perturbation calculation and obtained the second-order corrected wavefunctions consisting of a few terms and third-order energy corrections. We find that third-order and higher-order energy corrections are improved with decreasing nuclear charge. This result means that the former is quadratically integrable and the latter is physically meaningful. The improved quantum perturbation theory fits the higher-order perturbation case. This work shows that it is a development on the quantum perturbation problem of helium-like systems. 相似文献
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以噻二唑-2-氨甲基酚(1)为原料, 与异硫氰酸苯酯反应, 以中等到良好的产率得到噻二唑基N-苯基取代硫脲类化合物(3a~3i); 而化合物1与活性较高的N,N-二甲胺基硫代甲酰氯反应, 则可以得到—NH和—OH同时反应的含有N,N-二甲基硫脲和N,N-二甲基硫代氨基甲酸芳酯官能团的产物. 利用核磁共振、 红外光谱以及高分辨质谱等手段对产物结构进行了表征. 相似文献
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Variational-integral perturbation corrections of some lower excited states for hydrogen atoms in magnetic fields 下载免费PDF全文
A variational-integral perturbation method(VIPM) is established by combining the variational perturbation with the integral perturbation.The first-order corrected wave functions are constructed,and the second-order energy corrections for the ground state and several lower excited states are calculated by applying the VIPM to the hydrogen atom in a strong uniform magnetic field.Our calculations demonstrated that the energy calculated by the VIPM only shows a negative value,which indicates that the VIPM method is more accurate than the other methods.Our study indicated that the VIPM can not only increase the accuracy of the results but also keep the convergence of the wave functions. 相似文献
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