We consider the quantum evolution [Formula: see text] of a Gaussian coherent state localized close to classical text], where denotes self-adjoint realization formal Hamiltonian with derivative Dirac’s delta distribution at and real parameter. show that in semi-classical limit such can be approximated (with respect text]-norm, uniformly for any away from collision time) by is suitable extension ...

This article shows that for a generic choice of Riemannian metric on a compact manifold M of dimension at least five, all prime compact parametrized minimal surfaces within M are imbeddings. Moreover, if M has dimension four, all prime compact parametrized minimal surfaces within M have transversal self-interstions, and at any self-intersection the tangent planes fail to be complex for any choi...

Let $G$ be a fct Lie group and let $U$ $V$ finite-dimensional real $G$-modules with $V^G=0$. A theorem of Marzantowicz, de Mattos dos Santos estimates the covering dimension zero-set $G$-map from unit sphere in to when is an elementary abelian $p$-group for some prime $p$ or torus. In this note, classical Borsuk-Ulam will used give refinement their result estimating that part on which acts free...