N-representability and density-functional construction in curvilinear coordinates
نویسندگان
چکیده
منابع مشابه
N-representability in noncollinear spin-polarized density-functional theory.
The N-representability problem for noncollinear spin-polarized densities was left open in the pioneering work of von Barth and Hedin [J. Phys. C 5, 1629 (1972)] setting up the Kohn-Sham density-functional theory for magnetic compounds. In this Letter, we demonstrate that, contrarily to the nonpolarized case, the sets of pure and mixed state N-representable densities are different in general. We...
متن کاملMultiinstantons in Curvilinear Coordinates
The 'tHooft's 5N-parametric multiinstanton solution is generalized to curvilinear coordinates. Expressions can be simplified by the gauge transformation that makes η-symbols constant in the vierbein formalism. This generates the compensating addition to the gauge potential of pseudoparticles. Typical examples (4-spherical, 2 + 2-and 3 + 1-cylindrical coordinates) are studied and explicit formul...
متن کاملInstantons in curvilinear coordinates
The multi-instanton solutions by ’tHooft and Jackiw, Nohl & Rebbi are generalized to curvilinear coordinates. Expressions can be notably simplified by the appropriate gauge transformation. This generates the compensating addition to the gauge potential of pseudoparticles. Singularities of the compensating connection are irrelevant for physics but affect gauge dependent quantities. The third con...
متن کاملThe Perfectly Matched Layer in Curvilinear Coordinates
In 1994 B erenger showed how to construct a perfectly matched absorbing layer for the Maxwell system in rectilinear coordinates. This layer absorbs waves of any wavelength and any frequency without reeection and thus can be used to artiicially terminate the domain of scattering calculations. In this paper we show how to derive and implement the B erenger layer in curvilinear coordinates (in two...
متن کاملRepresentability and Program Construction within Fork Algebras
The representation theorem for fork algebras was always misunderstood regarding its applications in program construction. Its application was always described as “the portability of properties of the problem domain into the abstract calculus of fork algebras”. In this paper we show that the results provided by the representation theorem are by far more important. We show that not only the heuri...
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: Solid State Communications
سال: 1998
ISSN: 0038-1098
DOI: 10.1016/s0038-1098(98)00137-9