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Solutions of the Second Pöschl–Teller Potential Solved by an Improved Scheme to the Centrifugal Term
Yuan You Fa-Lin Lu Dong-Sheng Sun Chang-Yuan Chen Shi-Hai Dong 《Few-Body Systems》2013,54(11):2125-2132
Using an improved approximate formula to the centrifugal term, we present arbitrary l-state bound and scattering solutions of the second Pöschl–Teller potential. We find that our approximate formula is better than a previous one since the calculated results are in better agreement with numerically exact ones. 相似文献
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We apply our recently proposed proper quantization rule, òxAxBk(x) dx -òx0Ax0Bk0(x) dx=np{\int_{x_A}^{x_B}k(x) dx -\int_{x_{0A}}^{x_{0B}}k_0(x) dx=n\pi} , where
_boxclose_boxclose_boxclose_boxclose_boxclose_boxclose_boxclose_boxclose/{k(x)=\sqrt{2 M [E-V(x) ]}/\hbar} to obtain the energy spectrum of the modified Rosen-Morse potential. The beauty and symmetry of this proper rule come from
its meaning—whenever the number of the nodes of f(x){\phi(x)} or the number of the nodes of the wave function ψ(x) increases by one, the momentum integral òxAxB k(x)dx{\int_{x_A}^{x_B} k(x)dx} will increase by π. Based on this new approach, we present a vibrational high temperature partition function in order to study thermodynamic
functions such as the vibrational mean energy U, specific heat C, free energy F and entropy S. It is surprising to note that the specific heat C (k = 1) first increases with β and arrives to the maximum value and then decreases with it. However, it is shown that the entropy S (k = 1) first increases with the deepness of potential well λ and then decreases with it. 相似文献
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Recently, the LHCb experiment announced 3.5σ evidence for direct CP violation in D0 decay by looking at the difference between ACP(D0→K+K-) and ACP(D0→π+π-). This is the rst evidence of CP violation in a charm system, which may indicate new physics beyond the Standard Model. Motivated by this measurement, we review rare processes in charmonium decay, especially, the weak decay, C or P violated decay, and lepton avor violated decays. In case the new physics appears in charm sector, these rare decays of charmonium states will provide an opportunity to search for signi cant contributions from physics beyond the Standard Model. With huge J/ψ and ψ(2S) samples in BES0 experiment, the rare decays may be feasible. 相似文献
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1 INTRODUCTION Pyrrole and its derivatives have attracted much attention due to their chemical properties as well as biological activities[1]. They have been widely used to produce pharmaceutical, essences, biochemicals, etc. It has been found that a great number of pyrrole derivatives present antitumor and antiviral activi- ties[2 ~ 5]. During our searches for bioactive com- pounds, a series of pyrrole derivatives were synthe- sized[6, 7]. We report here the synthesis of 3-(pyrrole- 2?-… 相似文献
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ZENG Xiang-Chao② GU Jian XU Shi-Hai LIU Po-Run 《结构化学》2006,25(2):153-158
1 INTRODUCTION Pyrrole and its derivatives have attracted much attention due to their chemical properties as well as biological activities[1]. They have been widely used as the materials to produce pharmaceutical, essences, biochemicals, etc. It has been found that a great deal of pyrrole derivatives present bioactivities, such as antitumor and antiviral activities[2~5]. Thus, due to the interest in exploring the syntheses of potential bioactive materials which contain pyrrole ring andna… 相似文献
107.
Aldisin及其衍生物的合成和α-葡萄糖苷酶抑制活性研究 总被引:2,自引:0,他引:2
以三氯氧磷为环化试剂, 回流状态下, N-(2-吡咯甲酰基)-β-丙氨酸经分子内酰化环化反应, 合成了吡咯[2,3-c]氮杂二酮稠环化合物Aldisin及其衍生物1-Methylaldisin和3-Bromoaldisin, 通过1H NMR, 13C NMR, IR, FABMS和元素分析对其结构进行了表征. 以X射线衍射法研究了3-Methylaldisin的晶体结构. 测定了三个化合物对α-葡萄糖苷酶的抑制作用. 相似文献
108.
The improved quantization rule simplifies the calculation of the energy levels for the exactly solvable quantum system. In this Letter we calculate the energy levels of the Schrödinger equation with the symmetric and asymmetric trigonometric Rosen-Morse potentials by the improved quantization rule. 相似文献
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Qian Dong Ariadna J. Torres-Arenas Guo-Hua Sun Wen-Chao Qiang Shi-Hai Dong 《Frontiers of Physics》2019,14(2):21603
In this work we analyze the characteristics of quantum entanglement of the Dirac field in noninertial reference frames in the context of a new type pseudo-pure state, which is composed of the Bell states. This will help us to understand the relationship between the relativity and quantum information theory. Some states will be changed from entangled states into separable ones around the critical value F = 1/4, but there is no such a critical value for the variable y related to acceleration a. We find that the negativity NABI (ρTAABI) increases with F but decreases with the variable y, while the variation of the negativity NBIBII(ρTAABI) is opposite to that of the negativity NABI (ρTAABI). We also study the von Neumann entropies S(ρABI) and S(ρBIBII). We find that the S(ρABI) increases with variable y but S(ρBIBII) is independent of it. However, both S(ρABI) and S(ρBIBII) first decreases with F and then increases with it. The concurrences C(ρABI) and C(ρBIBII) are also discussed. We find that the former decreases with y while the latter increases with y but both of them first increase with F and then decrease with it. 相似文献