Wigner approximation

The first term is the exchange part, which is known exactly for the homogeneous gas, and the second term is the Wigner approximation for the correlation energy. For further discussion we refer to the literature [4-6]. 

In Equation 21, T is the absolute temperature, h is Planck s constant, is Boltzmann constant, and AG is the free energy barrier height relative to infinitely-separated reactants. The temperature-dependent factor r(7) represents quantum mechanical tunneling and the Wigner approximation to tunneling through an inverted parabolic barrier ... 

C.J. Goebel, K.W. McVoy, Eigenphases and the generalized Breit-Wigner approximation, Phys. Rev. 164 (1967) 1932. 

The Breit-Wigner approximation allows one to represent the resonance tunneling spectrum as superposition of Lorentzian lines. In the limit of narrow electronic levels I o 0- the resonance transparency obeys the equation... 

In the Breit-Wigner approximation, the charging - discharging transitions are accounted for by the offset of the energy (or the frequency shifts) dependence on the dot location relative to the leads. According to Eq. 17a it is... 

We now consider two especially relevant choices of the, in principle, arbitrary parameter If is taken to be equal to Ej, then the above perturbation series describe the Brillouin-Wigner approximations to y> and Ej, The choice yields the Rayleigh-Schrodinger perturbation series. 

The essence of the Weisskopf-Wigner approximation is to suppose that W(E) W is energy independent. Then, if the range of integration is extended from —oo to oo, F(E) 0 and ( ) becomes a Lorentzian,... 

WiGNERsche Naherung fiir Kemwechselwir-kung, WiGNER approximation for nuclear interaction 4. 

WiGNER approximation for nuclear interaction, WiGNER5c/i Ndherung fur Kern-wechselwirkung 4. 

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