Hellmann-Feynman Theorem in Thomas-Fermi and Related Theories

Dipole Moments in Thomas-Fermi-Dirac and Thomas-Fermi Theories

On the Hellmann-Feynman theorem for statistical averages

We discuss the Hellmann-Feynman theorem for degenerate states and its application to the calculation of the derivatives of statistical averages with respect to external parameters. Some time ago there was a discussion about the validity of the HellmannFeynman theorem (HFT)[1] for degenerate states[2–5]. Recently, some of those results[3–5] proved useful in deriving an expression for the derivat...

Modified Weizsäcker Corrections in Thomas- Fermi Theories

The Thomas-Fermi approximation for gauge theories

An effective field approximation, similar to the atomic Thomas-Fermi approach, is proposed for studying non-Abelian gauge theories which includes finitevolume effects. As applications of the formalism the equation of state for an SU(2) gauge theory with massless fermions is obtained. The extensions to realistic situations are briefly discussed. ? [email protected] † [email protected] ‡ jose.w...

Orbit-averaged quantities, the classical Hellmann-Feynman theorem, and the magnetic flux enclosed by gyro-motion

Action integrals are often used to average a system over fast oscillations and obtain reduced dynamics. It is not surprising, then, that action integrals play a central role in the HellmannFeynman theorem of classical mechanics, which furnishes the values of certain quantities averaged over one period of rapid oscillation. This paper revisits the classical Hellmann-Feynman theorem, rederiving i...