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Pauli exclusion principle
About: Pauli exclusion principle is a research topic. Over the lifetime, 5551 publications have been published within this topic receiving 131561 citations. The topic is also known as: exclusion principle (physics) & principle of exclusion (quantum mechanics).
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TL;DR: In this paper, Green's time functions for a neutral Pauli particle in nonuniform magnetic fields of special modes were constructed and the subsequent analysis of the motion of such a particle was regarded as an evolution (in time) of a Gaussian wave packet.
Abstract: Green's time functions are constructed for a neutral Pauli particle in nonuniform magnetic fields of special modes and, in the subsequent analysis, the motion of such a particle is regarded as an evolution (in time) of a Gaussian wave packet.
01 Jan 1989
TL;DR: The Pauli exclusion principle as discussed by the authors has been applied to many electron systems that were developed early, as well as the basic concepts of group theory, and it is useful to understand and motivate the discussions to follow, and provide useful tools for incorporating and understanding symmetry properties of molecules and wavefunctions.
Abstract: Thus far our considerations have in general been limited to systems containing only a single electron. While we have seen that many important principles and techniques can be developed using those cases, we shall now see that a major new concept is needed for systems containing more than one electron. That concept (the Pauli Exclusion Principle) will be developed in the sections to follow, along with a number of analyses and techniques that are of substantial importance in contemporary applications of quantum mechanics to chemistry. Before doing that, however, it is useful to introduce several conceptual approaches to many electron systems that were developed early, as well as the basic concepts of group theory. These will help us to understand and motivate the discussions to follow, as well as to provide useful tools for incorporating and understanding symmetry properties of molecules and wavefunctions.
01 Jan 1992
TL;DR: In this article, it was shown that the most sensitive observable observable is the perpendicular momentum distribution in heavy ion collisions, which is a measure of the attraction and repulsion of nucleon-nucleon interactions.
Abstract: One of the proclaimed goals of heavy ion collisions with 100 MeV up to 2000 MeV per nucleon is the determination of the equation of state of nuclear matter, which one needs for example for neutron stars, supernova explosions and the early universe. But the situation in heavy ion collisions is quite different from thermal equilibrium with a spherical momentum distribution and a fixed temperature. The effective nucleon-nucleon interaction as determined for example by the solution of the Bethe-Goldstone equation depends through the Pauli operator and through the single particle energies on the surrounding nuclear matter. This dependence is especially pronounced since the nucleon-nucleon interacting is highly momentum dependent: It is attractive at small relative momenta and repulsive at higher values. Thus the effective nucleon-nucleon interaction in heavy ion colhsions depends on the distribution of the surrounding nuclear matter in orbital and momentum space. Here results are presented using for the description of heavy ion reactions at intermediate energies Quantum Molecular Dynamics (QMD) in a non-relativistic and in a completely covariant (RQMD) form. We show that the production of gamma-rays, pions and the inclusive spectra of nucleons and light nuclei are not sensitive to the equation of states. The most sensitive observable is the perpendicular momentum distribution in heavy ion collisions.