Trace formula for noise corrections to trace formulas
نویسندگان
چکیده
منابع مشابه
Diffractive corrections in the trace formula for polygonal billiards
We derive contributions to the trace formula for the spectral density accounting for the role of diffractive orbits in two-dimensional polygonal billiards. In polygons, diffraction typically occurs at the boundary of a family of trajectories. In this case the first diffractive correction to the contribution of the family to the periodic orbit expansion is of order of that of an isolated orbit, ...
متن کاملTrace formulas for stochastic evolution operators: Weak noise perturbation theory
Periodic orbit theory is an effective tool for the analysis of classical and quantum chaotic systems. In this paper we extend this approach to stochastic systems, in particular to mappings with additive noise. The theory is cast in the standard field theoretic formalism, and weak noise perturbation theory written in terms of Feynman diagrams. The result is a stochastic analog of the next-to-lea...
متن کاملOn Trace Formulas
We review a variety of recently obtained trace formulas for one-and multi-dimensional Schrr odinger operators. Some of the results are extended to Sturm-Liouville and matrix-valued Schrr odinger operators. Furthermore, we recall a set of trace formulas in one, two, and three dimensions related to point interactions as well as a new uniqueness result for three-dimensional Schrr odinger operators...
متن کاملGeometrization of Trace Formulas
Recently, a new approach to functoriality of automorphic representations [L1] has been proposed in [FLN] following earlier work [L2, L3, L4] by Robert Langlands. The idea may be roughly summarized as follows. Let G and H be two reductive algebraic groups over a global field F (which is either a number field or a function field; that is, the field of functions on a smooth projective curve X over...
متن کاملTrace formulas 16
Dynamics is posed in terms of local equations, but the ergodic averages require global information. How can we use a local description of a flow to learn something about the global behavior? We have given a quick sketch of this program in Sections 1.5 and 1.6; now we redo the same material in greater depth. In Chapter 15 we have related global averages to the eigenvalues of appropriate evolutio...
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: Physical Review E
سال: 2001
ISSN: 1063-651X,1095-3787
DOI: 10.1103/physreve.64.012104