Time-Delay Operators in Semiclassical Limit. II. Short-Range Potentials
نویسندگان
چکیده
منابع مشابه
Semiclassical matrix-mechanics. II. Angular momentum operators
Semiclassical angular momentum matrices are calculated using a new contourintegral formula for matrix-elements WKB sphencal harrnonic functions are found to be exactly orthonormal with the contour-integral inner-product Matnx-elements obtained from these wavefunctions are accurate to about 2 9b and the matrices obey the cornrnutation relations expected of quantum angular momentum operators The ...
متن کاملSemiclassical limit for mixed states with singular and rough potentials
We consider the semiclassical limit for the Heisenberg-von Neumann equation with a potential which consists of the sum of a repulsive Coulomb potential, plus a Lipschitz potential whose gradient belongs to BV ; this assumption on the potential guarantees the well posedness of the Liouville equation in the space of bounded integrable solutions. We find sufficient conditions on the initial data t...
متن کاملBrownian motion in short range random potentials
A. H. Romero and J. M. Sancho Department of Physics, University of California, San Diego, La Jolla, California 92093-0354 Department of Chemistry and Biochemistry, University of California, San Diego, La Jolla, California 92093-0340 Institute for Nonlinear Science, Department 0407, University of California, San Diego, 9500 Gilman Drive, La Jolla, California 92093-0407 and Departament d’Estructu...
متن کاملSemiclassical limit and quantum chaos
In this paper we present the field on which R. Rammal was working in the last moments of his life : quantum chaos. The behavior of various distributions is investigated numerically for different planar billiards in presence of a magnetic field or not. We find exponential laws for the distributions of the trajectory lengths, of the algebraic areas, and of the number of boundary reflections. Thes...
متن کاملDelay Range Stability of distributed time delay systems
This paper is dedicated to the stability analysis of a class of uncertain distributed delay systems. We focus to the case where the kernel can be modelled as a polynomial function. The results are constructed by rewriting the system as an uncertain interconnected model and appropriate robust control tools as quadratic separation are then used to address to stability issue. Furthermore, some rel...
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: Transactions of the American Mathematical Society
سال: 1990
ISSN: 0002-9947
DOI: 10.2307/2001538