Uniform semiclassical approximations on a topologically non-trivial configuration space
نویسندگان
چکیده
منابع مشابه
Uniform semiclassical approximations on a topologically non-trivial configuration space The hydrogen atom in an electric field
Semiclassical periodic-orbit theory and closed-orbit theory represent a quantum spectrum as a superposition of contributions from individual classical orbits. Close to a bifurcation, these contributions diverge and have to be replaced with a uniform approximation. Its construction requires a normal form that provides a local description of the bifurcation scenario. Usually, the normal form is c...
متن کاملTopologically non-trivial quantum layers
Given a complete non-compact surface Σ embedded in R, we consider the Dirichlet Laplacian in the layer Ω that is defined as a tubular neighbourhood of constant width about Σ. Using an intrinsic approach to the geometry of Ω, we generalise the spectral results of the original paper [1] by Duclos et al. to the situation when Σ does not possess poles. This enables us to consider topologically more...
متن کاملConfiguration-Space-Faddeev Born Approximations
Alternative definitions of the Born approximation and the distorted-wave Born approximation within the framework of the configuration-space Faddeev equations are explored. The most natural definition does not correspond to the Born approximation derived from the Schrödinger equation, even though the exact T-matrices for both formalisms are equivalent. The Schrödinger form is optimal, although i...
متن کاملTopologically Trivial Legendrian Knots
This paper deals with topologically trivial Legendrian knots in tight and overtwisted contact 3-manifolds. The first parts (Sections 1-3) contain a thorough exposition of the proof of the classification of topologically trivial Legendrian knots (i.e. Legendrian knots bounding embedded 2-disks) in tight contact 3-manifolds (Theorem 1.7), and, in particular, in the standard contact S. These parts...
متن کاملUniform semiclassical approximations for one-dimensional fermionic systems
A thorough account is given of the derivation of uniform semiclassical approximations to the particle and kinetic energy densities of N noninteracting bounded fermions in one dimension. The employed methodology allows the inclusion of non-perturbative effects via an infinite resummation of the Poisson summation formula.
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: The European Physical Journal D - Atomic, Molecular and Optical Physics
سال: 2003
ISSN: 1434-6060,1434-6079
DOI: 10.1140/epjd/e2003-00238-x