Der Grundzustand der Urfermionen im Gitterraum |
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Authors: | Erich G Weidemann Fritz Bopp |
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Institution: | 1. Lehrstuhl Bopp, Sektion Physik der Universit?t, Schellingstr. 2-8, III, 8 München 13
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Abstract: | The energy of the Dirac sea of interacting urfermions in a lattice space withZ 3 points is calculated using Heisenberg's Hamiltonian and a two-particle approximation which is a variational calculation with the test function ¦?〉=e iη¦D 0〉; ¦D 0〉 is the Dirac sea without interaction,η=(ψ ° ψ) a bilinear expression of the urfermion creation and annihilation operators. The same result is obtained by a BCS-calculation. Beyond that, we derive simple lower and upper bounds for the energy. Excited states are considered consisting of a particle-antiparticle pair with the energyE=2√ω 2+M 2. The massM and the interaction constantW are connected by the equation (4W)?1=Z ?3∑(ω 2+M 2)?1/2. For usual masses 4W~√Z/1 (1 a nuclear length). Methods are discussed to improve the results. |
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