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角动量量子数l的升降算符和球谐函数的生成 被引量:5
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作者 寻大毛 荣小平 刘全慧 《大学物理》 北大核心 2011年第1期19-22,共4页
1999年喀兴林先生在《高等量子力学》一书中首次提出角动量量子数l的升降算符,这个算符其实是一秩不可约张量算符的一个简单实现.当给定一个磁量子数m,降算符能给出最小量子数l的状态,进而得到全部球谐函数的最低态|0,0〉.而通过升降算... 1999年喀兴林先生在《高等量子力学》一书中首次提出角动量量子数l的升降算符,这个算符其实是一秩不可约张量算符的一个简单实现.当给定一个磁量子数m,降算符能给出最小量子数l的状态,进而得到全部球谐函数的最低态|0,0〉.而通过升降算符的恰当组合,作用在这个最低态上就可以生成任意球谐函数|lm〉. 展开更多
关键词 量子力学 角动量 量子数 升降算符
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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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不同pH对质子交换膜燃料电池高氮不锈钢双极板电化学及钝化行为的影响 被引量:2
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作者 欧阳春 寻大毛 +1 位作者 高平平 朱艳清 《江苏科技大学学报(自然科学版)》 CAS 北大核心 2021年第6期94-99,共6页
在模拟的质子交换膜燃料电池(PEMFCs)环境下,改变电解液pH为1、3及5,考察pH值对高氮不锈钢(HNSS)在上述环境下电化学行为及钝化膜性能的影响.通过极化曲线、交流阻抗、Mott-Schottky方法以及X-射线光电子能谱(XPS)来分析高氮钢表面的电... 在模拟的质子交换膜燃料电池(PEMFCs)环境下,改变电解液pH为1、3及5,考察pH值对高氮不锈钢(HNSS)在上述环境下电化学行为及钝化膜性能的影响.通过极化曲线、交流阻抗、Mott-Schottky方法以及X-射线光电子能谱(XPS)来分析高氮钢表面的电化学行为及钝化膜的成份.结果表明,高氮不锈钢表面形成的钝化膜具有n型半导体及p型半导体性质,掺杂深度随着pH增加而减少.通过交流阻抗分析发现钝化膜为双层结构,高氮钢表面没有发生点蚀.钝化后,XPS结果表明钝化膜主要是铁氧化物、锰氧化物,镍氧化物及铬氧化物等. 展开更多
关键词 HNSS 金属双极板 PEMFCS 钝化膜
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三维各向同性谐振子的几何动量分布 被引量:2
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作者 刘全慧 张梦男 +1 位作者 肖世发 寻大毛 《物理学报》 SCIE EI CAS CSCD 北大核心 2019年第1期157-164,共8页
尽管几何动量最初的引入是为了描述超面上的运动粒子的动量,却不需要限制在真实的曲面上.如果一个曲线坐标系包含了超面族和超面上的法向矢量作为一个坐标轴的单位矢量,几何动量可以定义在超面族上,并参与构造对易力学量完全集.在三维... 尽管几何动量最初的引入是为了描述超面上的运动粒子的动量,却不需要限制在真实的曲面上.如果一个曲线坐标系包含了超面族和超面上的法向矢量作为一个坐标轴的单位矢量,几何动量可以定义在超面族上,并参与构造对易力学量完全集.在三维各向同性谐振子中,采用球坐标描述,存在等效球面,并在球面族上建立对易力学量完全集.因此,三维各向同性谐振子同时具有动量和几何动量分布.这两个动量的差,可以定义为径向动量,从而使得径向动量可以测量.那么,通过几何动量,可以显示出狄拉克引进的径向动量的物理意义,而不是一直认为的那样完全不具有观测意义. 展开更多
关键词 角动量 三维谐振子 几何动量
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Unraveling the molecular mechanism of prion disease:Insights fromα2 area mutations in human prion protein
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作者 谈荣日 夏奎 +2 位作者 寻大毛 宗文军 余幼胜 《Chinese Physics B》 SCIE EI CAS CSCD 2023年第12期657-665,共9页
Prion diseases are a class of fatal neurodegenerative diseases caused by misfolded prion proteins.The main reason is that pathogenic prion protein has a strong tendency to aggregate,which easily induces the damage to ... Prion diseases are a class of fatal neurodegenerative diseases caused by misfolded prion proteins.The main reason is that pathogenic prion protein has a strong tendency to aggregate,which easily induces the damage to the central nervous system.Point mutations in the human prion protein gene can cause prion diseases such as Creutzfeldt-Jakob and Gerstmann's syndrome.To understand the mechanism of mutation-induced prion protein aggregation,the mutants in an aqueous solution are studied by molecular dynamics simulations,including the wild type,V180I,H187R and a double point mutation which is associated with CJD and GSS.After running simulations for 500 ns,the results show that these three mutations have different effects on the kinetic properties of PrP.The high fluctuations around the N-terminal residues of helix 2 in the V180I variant lead to a decrease in hydrogen bonding on helix 2,while an increase in the number of hydrogen bonds between the folded regions promotes the generation ofβ-sheet.Meanwhile,partial deletion of salt bridges in the H187R and double mutants allows the sub-structural domains of the prion protein to separate,which would accelerate the conversion from PrPC to PrPSc.A similar trend is observed in both SASA and Rg for all three mutations,indicating that the conformational space is reduced and the structure is compact. 展开更多
关键词 prion protein MUTATIONS MISFOLDING molecular dynamics simulations
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Computational mechanistic investigation of radiation damage of adenine induced by hydroxyl radicals
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作者 谈荣日 刘慧宣 +1 位作者 寻大毛 宗文军 《Chinese Physics B》 SCIE EI CAS CSCD 2018年第2期64-70,共7页
The radiation damage of adenine base was studied by B3LYP and MP2 methods in the presence of hydroxyl radicals to probe the reactivities of five possible sites of an isolated adenine molecule. Both methods predict tha... The radiation damage of adenine base was studied by B3LYP and MP2 methods in the presence of hydroxyl radicals to probe the reactivities of five possible sites of an isolated adenine molecule. Both methods predict that the C8 site is the more vulnerable than the other sites. For its bonding covalently with the hydroxyl radicals, B3LYP predicts a barrierless pathway, while MP2 finds a transition state with an energy of 106.1 kJ/mol. For the hydroxylation at the C2 site, the barrier was calculated to be 165.3 kJ/mol using MP2 method. For the dehydrogenation reactions at five sites of adenine, B3LYP method predicts that the free energy barrier decreases in the order of H8 〉 H2 〉 HN62 〉 HN61 〉 HN9. 展开更多
关键词 DNA damage RADICALS ADENINE DEHYDROGENATION
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An Enlarged Canonical Quantization Scheme and Quantization of a Free Particle on Two-Dimensional Sphere
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作者 张中帅 肖世发 +1 位作者 寻大毛 刘全慧 《Communications in Theoretical Physics》 SCIE CAS CSCD 2015年第1期19-24,共6页
For a non-relativistic particle that freely moves on a curved surface, the fundamental commutation relations between positions and momenta are insufficient to uniquely determine the operator form of the momenta. With ... For a non-relativistic particle that freely moves on a curved surface, the fundamental commutation relations between positions and momenta are insufficient to uniquely determine the operator form of the momenta. With introduc- tion of more commutation relations between positions and Hamiltonian and those between momenta and Hamiltonian, our recent sequential studies imply that the Cartesian system of coordinates is physically preferable, consistent with Dirae's observation. In present paper, we study quantization problem of the motion constrained on the two-dimensional sphere and develop a discriminant that can be used to show how the quantization within the intrinsic geometry is im- proper. Two kinds of parameterization of the spherical surface are explicitly invoked to investigate the quantization problem within the intrinsic geometry. 展开更多
关键词 QUANTIZATION curved surface Cartesian coordinates two-dimensional spherical surface intrinsicgeometry
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On Equivalence of Two Realizations for a Nonlinear Lie Algebra
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作者 阳星 寻大毛 +2 位作者 荣小平 单磊 刘全慧 《Communications in Theoretical Physics》 SCIE CAS CSCD 2012年第4期575-576,共2页
Recently,there are two independent approaches related to a class of nonlinear Lie algebras of three generators;and the realizations of these generators are achieved respectively in Schwinger-boson and position represe... Recently,there are two independent approaches related to a class of nonlinear Lie algebras of three generators;and the realizations of these generators are achieved respectively in Schwinger-boson and position representation.However,by use of the representation transformation between these two representations,the equivalence of the two realizations is therefore proved. 展开更多
关键词 quantum mechanics nonlinear Lie algebras Schwinger-boson realization angular momentum
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Transformation Between Eigenfunctions of Three Components of Geometric Momentum on Two-Dimensional Sphere
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作者 孙浩然 寻大毛 +1 位作者 唐良辉 刘全慧 《Communications in Theoretical Physics》 SCIE CAS CSCD 2012年第7期31-33,共3页
A technique of coordinate transformation is devised to overcome the computational difficulty associated with the direct transformation between eigenfunctions of three components of the geometric momentum on two-dimens... A technique of coordinate transformation is devised to overcome the computational difficulty associated with the direct transformation between eigenfunctions of three components of the geometric momentum on two-dimensional spherical surface, and the computations are firstly carried out in new coordinates and secondly the results are transformed back into the original coordinates. The eigenfunctions of different components of geometric momentum is explicitly demonstrated to transform under the spatial rotations in the precise way we anticipate. 展开更多
关键词 quantum mechanics differential geometry partial differential equations
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