A wide-range semiclassical self-consistent average atom model

When is a semiclassical approximation self-consistent?

A general condition for the self-consistency of a semiclassical approximation to a given system is suggested. It is based on the eigenvalue distribution of the relevant Hessian evaluated at the streamline configurations (configurations that almost satisfy the classical equations of motion). The semiclassical approximation is consistent when there exists a gap that separates small and large eige...

Semiclassical Self-consistent--eld Perturbation Theory for the Hydrogen Atom in a Magnetic Eld

A recently developed perturbation theory for solving self-consistent-eld equations is applied to the hydrogen atom in a strong magnetic eld. This system has been extensively studied using other methods and is therefore a good test case for the new method. The perturbation theory yields summable large-order expansions. The accuracy of the self-consistent-eld approximation varies according to eld...

Self-consistent Wormhole Solutions of Semiclassical Gravity

We present the first results of a self-consistent solution of the semiclassical Einstein field equations corresponding to a Lorentzian wormhole coupled to a quantum scalar field. The specific solution presented here represents a wormhole connecting two asymptotically spatially flat regions. In general, the diameter of the wormhole throat, in units of the Planck length, can be arbitrarily large,...

Pressure in the Average-Atom Model

The (well-known) quantum mechanical expression for the stress tensor is derived and applied to obtain a formula for the pressure in the average-atom model. This average-atom pressure formula reduces to the (well-known) expression for the pressure in a classical free-electron gas when the average-atom continuum wave functions are replaced by free-electron wave functions. 1 Derivation We start wi...

Semiclassical theory of helium atom