Geometry and crystal symmetry
نویسندگان
چکیده
منابع مشابه
Crystal Symmetry and Time Scales
The relation between the notion of crystalline symmetry and characteristic time intervals when this symmetry could be observed is analyzed. Several time scales are shown to exist for a system of interacting particles. It is only when the observation time is much larger than the mesoscopic fluctuation time, the notion of crystalline symmetry becomes physically meaningful. The ideas are concretiz...
متن کاملSite symmetry and crystal symmetry: a spherical tensor analysis
The relation between the properties of a specific crystallographic site and the properties of the full crystal is discussed by using spherical tensors. The concept of spherical tensors is introduced and the way it transforms under the symmetry operations of the site and from site to site is described in detail. The law of spherical tensor coupling is given and illustrated with the example of th...
متن کاملSymmetry breaking via internal geometry
Gauge theories commonly employ complex vector-valued fields to reduce symmetry groups through the Higgs mechanism of spontaneous symmetry breaking. The geometry of the internal space V is tacitly assumed to be the metric geometry of some static, nondynamical hermitian metric k. In this paper, we consider G-principal bundle gauge theories, where G is a subgroup of U(V ,k) (the unitary transforma...
متن کاملThe Geometry Underlying Mirror Symmetry
The recent result of Strominger, Yau and Zaslow relating mirror symmetry to the quantum field theory notion of T-duality is reinterpreted as providing a way of geometrically characterizing which Calabi–Yau manifolds have mirror partners. The geometric description—that one Calabi–Yau manifold should serve as a compactified, complexified moduli space for special Lagrangian tori on the other Calab...
متن کاملThe Geometry of Mirror Symmetry
Mirror symmetry was discovered in the late 1980s by physicists studying superconformal field theories (SCFTs). One way to produce SCFTs is from closed string theory; in the Riemannian (rather than Lorentzian) theory the string’s worldline gives a map of a Riemannian 2-manifold into the target with an action which is conformally invariant, so the 2manifold can be thought of as a Riemann surface ...
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: Computers & Mathematics with Applications
سال: 1986
ISSN: 0898-1221
DOI: 10.1016/0898-1221(86)90411-6