Symmetry Results for Finite-Temperature,¶Relativistic Thomas-Fermi Equations
نویسندگان
چکیده
منابع مشابه
0 Symmetry Results for Finite - Temperature , Relativistic Thomas - Fermi Equations ∗
In the semi-classical limit the quantum mechanics of a stationary beam of counter-streaming relativistic electrons and ions is described by a nonlinear system of finite-temperature Thomas–Fermi equations. In the high temperature / low density limit these Thomas–Fermi equations reduce to the (semi-)conformal system of Bennett equations discussed earlier by Lebowitz and the author. With the help ...
متن کاملJ an 2 00 2 SYMMETRY RESULTS FOR FINITE - TEMPERATURE , RELATIVISTIC THOMAS - FERMI EQUATIONS ∗
In the semi-classical limit the relativistic quantum mechanics of a stationary beam of counter-streaming (negatively charged) electrons and one species of positively charged ions is described by a nonlinear system of finite-temperature Thomas–Fermi equations. In the high temperature / low density limit these Thomas–Fermi equations reduce to the (semi-)conformal system of Bennett equations discu...
متن کاملRational approximation to Thomas–Fermi equations
We show that a simple and straightforward rational approximation to the Thomas– Fermi equation provides the slope at origin with unprecedented accuracy and that relatively small Padé approximants are far more accurate than more elaborate approaches proposed recently by other authors. We consider both the Thomas–Fermi equation for isolated atoms and for atoms in strong magnetic fields.
متن کاملRelativistic Thomas-fermi Model at Finite Temperatures
We briefly review the Thomas-Fermi statistical model of atoms in the classical non-relativistic formulation and in the generalised finite-nucleus relativistic formulation. We then discuss the classical generalisation of the model to finite temperatures in the non-relativistic approximation and present a new relativistic model at finite temperatures, investigating how to recover the existing the...
متن کاملOn Avakumović’s Theorem for Generalized Thomas–fermi Differential Equations
For the generalized Thomas–Fermi differential equation (|x|x) = q(t)|x|x, it is proved that if 1 6 α < β and q(t) is a regularly varying function of index μ with μ > −α − 1, then all positive solutions that tend to zero as t → ∞ are regularly varying functions of one and the same negative index ρ and their asymptotic behavior at infinity is governed by the unique definite decay law. Further, an...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Communications in Mathematical Physics
سال: 2002
ISSN: 0010-3616,1432-0916
DOI: 10.1007/s002200200625