Next: Introduction Up: Jacek Dobaczewski - home page

Abstract:

Spatial symmetries of the densities appearing in the nuclear Density Functional Theory are discussed. General forms of the local densities are derived by using methods of construction of isotropic tensor fields. The spherical and axial cases are considered.

SPATIAL SYMMETRIES OF THE LOCAL DENSITIES

STANISLAW G. ROHOZINSKI, JACEK DOBACZEWSKI, WITOLD NAZAREWICZ

Introduction
Density matrices and densities
Spherical symmetry
- Nonlocal and local fields
- Nonlocal and local densities
  - Rotational symmetry SO(3)
  - Rotational and mirror symmetry O(3)
Axial symmetry
- Two-dimensional rotational symmetry SO $^{\perp }(2)$
- Two-dimensional rotational and mirror symmetry O $^{z\perp }(2)$
Summary
Appendix: The Generalized Cayley-Hamilton Theorem
Acknowledgements
Bibliography
About this document ...

Jacek Dobaczewski 2010-01-30