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# Search results

32,029 records were found.

## On Certain Quantization Aspects of (Generalized) Toda Systems

Comment: 17 pages

## Bulk Universality and Related Properties of Hermitian Matrix Models

We give a new proof of universality properties in the bulk of spectrum of the hermitian matrix models, assuming that the potential that determines the model is globally $C^{2}$ and locally $C^{3}$ function (see Theorem \ref{t:U.t1}). The proof as our previous proof in \cite{Pa-Sh:97} is based on the orthogonal polynomial techniques but does not use asymptotics of orthogonal polynomials. Rather, we obtain the $sin$-kernel as a unique solution of a certain non-linear integro-differential equation that follows from the determinant formulas for the correlation functions of the model. We also give a simplified and strengthened version of paper \cite{BPS:95} on the existence and properties of the limiting Normalized Counting Measure of eigenvalues. We use these results in the proof of universality and we believe that they are of independen...

## Weakly-Interacting Bosons in a Trap within Approximate Second Quantization Approach

Comment: 6 pages, two figures .Presented at the International Symposium on Quantum Fluids and Solids QFS2006 (Kyoto, Japan)

## On a class of rational matrices and interpolating polynomials related to the discrete Laplace operator

Comment: 18 pag, submitted to "Note di Matematica"

## Relativity group for noninertial frames in Hamilton's mechanics

Comment: Final version

## Nonlinear generalized functions and the Heisenberg-Pauli foundations of Quantum Field Theory

Comment: 20 pages, research-expository paper, fully revised final version

## Generalized vector field

Comment: Talk delivered by 3 pages, S.Chatterjee at at 17th DAE-BRNS High Energy Physics Symposium (HEP06), Kharagpur IIT, India, 11-16 Dec 2006

## A simple extension of Stollmann's lemma to correlated potentials

We propose a fairly simple and natural extension of Stollmann's lemma to correlated random variables. This extension allows (just as the original Stollmann's lemma does) to obtain Wegner-type estimates even in some problems of spectral analysis of random operators where the Wegner's lemma is inapplicable (e.g. for multi-particle Hamiltonians).

## Micro-Macro Duality and Emergence of Macroscopic Levels

Comment: An invited talk at an International Symposium QBIC 2007

## Analytic geometry and semi-classical analysis

Expository paper on the relations between perturbation theory of pseudo-differential operators, finiteness theorems and deformations of Lagrangian varieties.