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Negative-energy states energies

The appearance of negative energy states was initially considered to be a fatal flaw in the Dirac theory, because it renders all positive energy states... [Pg.227]

The different techniques utilized in the non-relativistic case were applied to this problem, becoming more involved (the presence of negative energy states is one of the reasons). The most popular procedures employed are the Kirznits operator conmutator expansion [16,17], or the h expansion of the Wigner-Kirkwood density matrix [18], which is performed starting from the Dirac hamiltonian for a mean field and does not include exchange. By means of these procedures the relativistic kinetic energy density results ... [Pg.199]

The definition of the no-sea approximation for is not completely unambiguous. As discussed in Appendix B we define it through neglect of all vacuum fermion loops in the derivation of an approximate [/]. Alternatively, one could project out all negative energy states, thus generating a direct equivalent of the standard no-pair approximation. As one would expect the differences between these two schemes to be small, we do not differentiate between these approximations here. [Pg.19]

Here D denotes the subspace of negative-energy states in both n) and n) spaces. [Pg.286]

The number of bound states N supported by the Morse potential is N=integer(/CD+l/2) and the negative bound-state energy levels are... [Pg.421]

The single particle energies for negative-energy states of at... [Pg.203]

Knowing the values of n, we estimated the number of holes formed in the states of the highly correlated vacuum ( negative-energy states) [28]. [Pg.204]

The sum over n denotes a summation over positive and negative energy states. Evaluating the z-integration by means of complex contour integration yields... [Pg.381]

The way in which negative energy states have a habit of reappearing in the theory may seem paradoxical, even alarming, since our stated aim is to con-... [Pg.188]


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See also in sourсe #XX -- [ Pg.387 ]




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