The spectra of Rydberg hydrogen atom in magnetic fields have been calculated using linear variational method with B-splines basis functions [Acta Phys. Sin. 55 (2006) 3380]. Based on these calculations we have done...The spectra of Rydberg hydrogen atom in magnetic fields have been calculated using linear variational method with B-splines basis functions [Acta Phys. Sin. 55 (2006) 3380]. Based on these calculations we have done some statistics analysis about the high Rydberg energy levels. The nearest-neighbor energy spacing distribution and the 3-statistics have been shown about diamagnetic Rydberg hydrogen atom with the magnetic field being 0.6 T and 6 T. The phenomena of multiply crossing, multiply anti-crossing, and the mixed of crossing and anti-crossing of energy levels have appeared in this paper. For both cases, in range of lower energy, the energy 1evel statistics properties close to Poisson distribution. With the increasing of the energy, the energy level statistics properties are away to Poisson distribution and tend to Wigner distribution step by step.展开更多
Due to the top priority of the command to love God over the command to love one's neighbor, these two commands wil/ fall into a profound paradox "to violate generally accepted morality for the sake of Christian fait...Due to the top priority of the command to love God over the command to love one's neighbor, these two commands wil/ fall into a profound paradox "to violate generally accepted morality for the sake of Christian faith. " The orthodox doctrine of "justification by faith" expresses this paradox in a most definite way, because it regards unbelief in God as the most unacceptable, hateful, and punishable sin against God. Only by giving up this priority can the two love commands truly move beyond the moral paradox and realize their essential and holy unity in the framework of a new " theology of agape" or a new doctrine of "justification by agape. "展开更多
基金Supported by the National Natural Science Foundation of China under Grant No.10774042
文摘The spectra of Rydberg hydrogen atom in magnetic fields have been calculated using linear variational method with B-splines basis functions [Acta Phys. Sin. 55 (2006) 3380]. Based on these calculations we have done some statistics analysis about the high Rydberg energy levels. The nearest-neighbor energy spacing distribution and the 3-statistics have been shown about diamagnetic Rydberg hydrogen atom with the magnetic field being 0.6 T and 6 T. The phenomena of multiply crossing, multiply anti-crossing, and the mixed of crossing and anti-crossing of energy levels have appeared in this paper. For both cases, in range of lower energy, the energy 1evel statistics properties close to Poisson distribution. With the increasing of the energy, the energy level statistics properties are away to Poisson distribution and tend to Wigner distribution step by step.
文摘Due to the top priority of the command to love God over the command to love one's neighbor, these two commands wil/ fall into a profound paradox "to violate generally accepted morality for the sake of Christian faith. " The orthodox doctrine of "justification by faith" expresses this paradox in a most definite way, because it regards unbelief in God as the most unacceptable, hateful, and punishable sin against God. Only by giving up this priority can the two love commands truly move beyond the moral paradox and realize their essential and holy unity in the framework of a new " theology of agape" or a new doctrine of "justification by agape. "