CANONICAL TRANSFORMATIONS IN THREE-DIMENSIONAL PHASE-SPACE

Three-dimensional Landau theory for multivariant stress-induced martensitic phase transformations. II. Multivariant phase transformations and stress space analysis

Canonical Transformations for Space Trajectory Optimization

Optimal space trajectory problems and the necessaly and sufficient conditions that define their solutions are stated most compactly in terms of position and velocity vectors. To obtain analytical or numerical solutions, however, the problems are expressed using a particular set of coordinates. Each set of coordinates has advantages and disadvantages depending on the application. Thus, it may be...

Cosmic evolution from phase transition of three-dimensional flat space.

Flat space cosmology spacetimes are exact time-dependent solutions of three-dimensional gravity theories, such as Einstein gravity or topologically massive gravity. We exhibit a novel kind of phase transition between these cosmological spacetimes and the Minkowski vacuum. At sufficiently high temperature, (rotating) hot flat space tunnels into a universe described by flat space cosmology.

Deformed phase space and canonical quantum cosmology

The effects of noncommutativity and deformed Heisenberg algebra on the evolution of a two dimensional minisuperspace quantum cosmological model are investigated.

Canonical Weierstrass Representation of Minimal and Maximal Surfaces in the Three-dimensional Minkowski Space

We prove that any minimal (maximal) strongly regular surface in the threedimensional Minkowski space locally admits canonical principal parameters. Using this result, we find a canonical representation of minimal strongly regular time-like surfaces, which makes more precise the Weierstrass representation and shows more precisely the correspondence between these surfaces and holomorphic function...