For the ground state of the homogeneous electron gas (jellium), it is shown how the cumulant decomposition of the 2-matrix leads to the cumulant decomposition of the structure factors Sa,p(q) for the antiparallel (a) ...For the ground state of the homogeneous electron gas (jellium), it is shown how the cumulant decomposition of the 2-matrix leads to the cumulant decomposition of the structure factors Sa,p(q) for the antiparallel (a) and parallel (p) spin pairs and how it simultaneously allows one to derive the momentum distribution n(k), which is a one-body quantity [Phys. Rev. A 86, 012508 (2012)]. The small-q and large-q behavior of Sa,p(q), and their normalizations are derived and compared with the results of P. Gori-Giorgi et al. [Physica A 280, 199 (2000) and Phys. Rev. B 61, 7353 (2000)].展开更多
At the center of the Milky Way, our black hole may have suddenly changed from supermassive to intermediate-mass status. In doing so, it would have emitted an enormous burst of electromagnetic radiation. Here, the tota...At the center of the Milky Way, our black hole may have suddenly changed from supermassive to intermediate-mass status. In doing so, it would have emitted an enormous burst of electromagnetic radiation. Here, the total energy of that burst is calculated and compared with the Fermi bubble data.展开更多
Superstring theory is the most hopeful candidate of the grand unified theory. It requires the background spacetime manifold to have 1+9 dimensions. This idea has stimulated the study of physics in higher dimensional s...Superstring theory is the most hopeful candidate of the grand unified theory. It requires the background spacetime manifold to have 1+9 dimensions. This idea has stimulated the study of physics in higher dimensional spacetime. If the cosmology in very early epoch is higher dimensional spacetime, one may ask, by what way it spontaneously compacts to the present four dimensions? The relations between physical phenomena in higher dimensions and in four dimensions, the mechanisms in the process展开更多
Electrons are believed to avoid one another in space(correlation) due to the Coulomb repulsion and/or the Pauli exclusion principle.It is shown, using examples of two-electron systems, that indeed the mean electron-el...Electrons are believed to avoid one another in space(correlation) due to the Coulomb repulsion and/or the Pauli exclusion principle.It is shown, using examples of two-electron systems, that indeed the mean electron-electron distance increases in case of the ground electronic state as compared to the independent electron model. It is demonstrated however that there exist excited states, often of low energy, in which the electrons, while having a lot of free physical space(with nuclei being absent), choose to be close to each other in their motion("anticorrelation"), as if they mutually attracted one another. The source of this effect, quantummechanical in nature, is the orthogonality of the eigenfunctions, that forces the electronic wave functions to differ widely, even at the price of short electron-electron distances. There are also excited states with a mixed behaviour, with complex and often intriguing correlation-anticorrelation patterns.展开更多
文摘For the ground state of the homogeneous electron gas (jellium), it is shown how the cumulant decomposition of the 2-matrix leads to the cumulant decomposition of the structure factors Sa,p(q) for the antiparallel (a) and parallel (p) spin pairs and how it simultaneously allows one to derive the momentum distribution n(k), which is a one-body quantity [Phys. Rev. A 86, 012508 (2012)]. The small-q and large-q behavior of Sa,p(q), and their normalizations are derived and compared with the results of P. Gori-Giorgi et al. [Physica A 280, 199 (2000) and Phys. Rev. B 61, 7353 (2000)].
文摘At the center of the Milky Way, our black hole may have suddenly changed from supermassive to intermediate-mass status. In doing so, it would have emitted an enormous burst of electromagnetic radiation. Here, the total energy of that burst is calculated and compared with the Fermi bubble data.
基金Project supported by the National Natural Science Foundation of China.
文摘Superstring theory is the most hopeful candidate of the grand unified theory. It requires the background spacetime manifold to have 1+9 dimensions. This idea has stimulated the study of physics in higher dimensional spacetime. If the cosmology in very early epoch is higher dimensional spacetime, one may ask, by what way it spontaneously compacts to the present four dimensions? The relations between physical phenomena in higher dimensions and in four dimensions, the mechanisms in the process
文摘Electrons are believed to avoid one another in space(correlation) due to the Coulomb repulsion and/or the Pauli exclusion principle.It is shown, using examples of two-electron systems, that indeed the mean electron-electron distance increases in case of the ground electronic state as compared to the independent electron model. It is demonstrated however that there exist excited states, often of low energy, in which the electrons, while having a lot of free physical space(with nuclei being absent), choose to be close to each other in their motion("anticorrelation"), as if they mutually attracted one another. The source of this effect, quantummechanical in nature, is the orthogonality of the eigenfunctions, that forces the electronic wave functions to differ widely, even at the price of short electron-electron distances. There are also excited states with a mixed behaviour, with complex and often intriguing correlation-anticorrelation patterns.
