Electronic Resource
Springer
The European physical journal
204 (1967), S. 311-338
ISSN:
1434-601X
Source:
Springer Online Journal Archives 1860-2000
Topics:
Physics
Notes:
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 ¦ϕ〉=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.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF01326261
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