Spin dependent selection rules for photonic transitions in hydrogen-like atoms is derived by using the solution of Dirac equation for hydrogen-like atoms. It is shown that photonic transitions occur when [ Δj=0,±...Spin dependent selection rules for photonic transitions in hydrogen-like atoms is derived by using the solution of Dirac equation for hydrogen-like atoms. It is shown that photonic transitions occur when [ Δj=0,±1,±2, while Δmj=0,±1,±2 ]. By applying the spin dependent selection rules, we can explain the observed (6s→7s) transition in Cesium (Cs) atom.展开更多
在考虑各向异性散射的基础上,对锗中电子输运特性进行了全能带蒙特卡洛模拟.计算过程如下:锗的全能带由nonlocal empirical pseudopotential 方法求得;态密度的相对值通过不同能量的状态数得到;声子色散谱由 adi abatic bond charge模...在考虑各向异性散射的基础上,对锗中电子输运特性进行了全能带蒙特卡洛模拟.计算过程如下:锗的全能带由nonlocal empirical pseudopotential 方法求得;态密度的相对值通过不同能量的状态数得到;声子色散谱由 adi abatic bond charge模型求出;电子 声子散射率在低能量时采用费米黄金律得出的非抛物线散射率,高能量则通过态密度对其修正而得到;散射后的状态满足能量守恒和动量守恒.通过比较计算结果与实验报道,证实了该模型算法的正确性,由于该模型能正确反映锗中电子的速度与能量特性,同时又能大大降低散射率的计算成本,故可运用在器件模拟中.展开更多
This paper shows that exact calculation for transition probability can make some systems deviate fromFermi golden rule seriously. This paper also shows that the corresponding exact calculation of hopping rate inducedb...This paper shows that exact calculation for transition probability can make some systems deviate fromFermi golden rule seriously. This paper also shows that the corresponding exact calculation of hopping rate inducedby phonons for deuteron in Pd-D system with the many-body electron screening, proposed by Ichimaru, can explainthe experimental fact observed in Pd-D system, and predicts that perfection and low-dimension of Pd lattice are veryimportant for the phonon-induced hopping rate enhancement in Pd-D system.展开更多
In the pioneering work by R.A.Marcus,the solvation effect on electron transfer(ET)processes was investigated,giving rise to the celebrated nonadiabatic ET rate formula.In this work,on the basis of the thermodynamic so...In the pioneering work by R.A.Marcus,the solvation effect on electron transfer(ET)processes was investigated,giving rise to the celebrated nonadiabatic ET rate formula.In this work,on the basis of the thermodynamic solvation potentials analysis,we reexamine Marcus’formula with respect to the Rice-Ramsperger-Kassel-Marcus(RRKM)theory.Interestingly,the obtained RRKM analogue,which recovers the original Marcus’rate that is in a linear solvation scenario,is also applicable to the nonlinear solvation scenarios,where the multiple curve-crossing of solvation potentials exists.Parallelly,we revisit the corresponding Fermi’s golden rule results,with some critical comments against the RRKM analogue proposed in this work.For illustration,we consider the quadratic solvation scenarios,on the basis of physically well-supported descriptors.展开更多
This paper shows that energy of 105 ton of oil can be obtained from space by fs (fermtosecond) eletromagnetic pulse technique in one second and one cm3 without any loss. This paper shows that the energy conservation l...This paper shows that energy of 105 ton of oil can be obtained from space by fs (fermtosecond) eletromagnetic pulse technique in one second and one cm3 without any loss. This paper shows that the energy conservation law and Fermi golden rule should be negatived in some cases. The negation of Fermi golden rule has important influences on many fields based on quantum mechanics. For example, the present knowledge on the charge distribution in atomic nucleus might be wrong completely. This paper emphasizes that the proposition on introducing the concept of the energy support ability in space will cause a series of unimaginable discoveries, and, therefore is of epoch-making significance. This paper gives indirect experimental verifications for the necessity of introducing the concept of energy support ability in space, and suggests a very simple experiment to show directly that the energy conservation law and Fermi golden rule should be negatived in some cases.展开更多
文摘Spin dependent selection rules for photonic transitions in hydrogen-like atoms is derived by using the solution of Dirac equation for hydrogen-like atoms. It is shown that photonic transitions occur when [ Δj=0,±1,±2, while Δmj=0,±1,±2 ]. By applying the spin dependent selection rules, we can explain the observed (6s→7s) transition in Cesium (Cs) atom.
文摘在考虑各向异性散射的基础上,对锗中电子输运特性进行了全能带蒙特卡洛模拟.计算过程如下:锗的全能带由nonlocal empirical pseudopotential 方法求得;态密度的相对值通过不同能量的状态数得到;声子色散谱由 adi abatic bond charge模型求出;电子 声子散射率在低能量时采用费米黄金律得出的非抛物线散射率,高能量则通过态密度对其修正而得到;散射后的状态满足能量守恒和动量守恒.通过比较计算结果与实验报道,证实了该模型算法的正确性,由于该模型能正确反映锗中电子的速度与能量特性,同时又能大大降低散射率的计算成本,故可运用在器件模拟中.
文摘This paper shows that exact calculation for transition probability can make some systems deviate fromFermi golden rule seriously. This paper also shows that the corresponding exact calculation of hopping rate inducedby phonons for deuteron in Pd-D system with the many-body electron screening, proposed by Ichimaru, can explainthe experimental fact observed in Pd-D system, and predicts that perfection and low-dimension of Pd lattice are veryimportant for the phonon-induced hopping rate enhancement in Pd-D system.
基金This work was supported by the Ministry of Science and Technology of China(No.2017YFA0204904 and No.2016YFA0400904)the National Natural Science Foundation of China(No.21633006),and Anhui Initiative in Quantum Information Technologies.
文摘In the pioneering work by R.A.Marcus,the solvation effect on electron transfer(ET)processes was investigated,giving rise to the celebrated nonadiabatic ET rate formula.In this work,on the basis of the thermodynamic solvation potentials analysis,we reexamine Marcus’formula with respect to the Rice-Ramsperger-Kassel-Marcus(RRKM)theory.Interestingly,the obtained RRKM analogue,which recovers the original Marcus’rate that is in a linear solvation scenario,is also applicable to the nonlinear solvation scenarios,where the multiple curve-crossing of solvation potentials exists.Parallelly,we revisit the corresponding Fermi’s golden rule results,with some critical comments against the RRKM analogue proposed in this work.For illustration,we consider the quadratic solvation scenarios,on the basis of physically well-supported descriptors.
文摘This paper shows that energy of 105 ton of oil can be obtained from space by fs (fermtosecond) eletromagnetic pulse technique in one second and one cm3 without any loss. This paper shows that the energy conservation law and Fermi golden rule should be negatived in some cases. The negation of Fermi golden rule has important influences on many fields based on quantum mechanics. For example, the present knowledge on the charge distribution in atomic nucleus might be wrong completely. This paper emphasizes that the proposition on introducing the concept of the energy support ability in space will cause a series of unimaginable discoveries, and, therefore is of epoch-making significance. This paper gives indirect experimental verifications for the necessity of introducing the concept of energy support ability in space, and suggests a very simple experiment to show directly that the energy conservation law and Fermi golden rule should be negatived in some cases.
