Existence globale pour les systèmes de Maxwell-Bloch
Existence of an instanton singularity in . Euclidean field theory
Existence of global solutions of the Yang-Mills, Higgs and spinor field equations in dimensions
Existence of minimizers for Kohn-Sham models in quantum chemistry
Existence of skyrmions
Summary: We give an introduction to the Skyrme model from a mathematical point of view. Hereby, we show that it is difficult to solve the field equation even by means of the classical ansatz, the so-called hedgehog ansatz. Our main result is an extended existence proof for solutions of the field equation in the hedgehog ansatz.
Existence of the time evolution for Schrödinger operators with time dependent singular potentials
Existence, uniqueness and ergodicity for the stochastic quantization equation
Existence, uniqueness and ergodicity of weak solutions to the equation of stochastic quantization in finite volume is obtained as a simple consequence of the Girsanov theorem.
Exotic galilean symmetry and non-commutative mechanics.
Exotic infrared representations of interacting systems
Explicit construction of a unitary double product integral
In analogy with earlier work on the forward-backward case, we consider an explicit construction of the forward-forward double stochastic product integral with generator . The method of construction is to approximate the product integral by a discrete double product of second quantised rotations in different planes using the embedding of into L²(ℝ) ⊕ L²(ℝ) in which the standard orthonormal bases of and ℂⁿ are mapped to the orthonormal sets consisting of normalised indicator functions of...
Explicit formulas for correlation functions of ground states of the 1 dimensional XY model
Explicit summation of the constituent WKB series and new approximate wave functions.
Exponential decay of two-body eigenfunctions: a review.
Exponentiations over the quantum algebra
We define and compare, by model-theoretical methods, some exponentiations over the quantum algebra . We discuss two cases, according to whether the parameter is a root of unity. We show that the universal enveloping algebra of embeds in a non-principal ultraproduct of , where varies over the primitive roots of unity.
Extended limiting absorption method and analicity of the S-matrix.
Extended soliton solutions in an effective action for Yang-Mills theory.
Extending Coarse-Grained Measures
In [4] it is proved that a measure on a finite coarse-grained space extends, as a signed measure, over the entire power algebra. In [7] this result is reproved and further improved. Both the articles [4] and [7] use the proof techniques of linear spaces (i.e. they use multiplication by real scalars). In this note we show that all the results cited above can be relatively easily obtained by the Horn-Tarski extension technique in a purely combinatorial manner. We also characterize the pure measures...
Extension of the Poincaré symmetry and its field theoretical implementation.
Extension techniques in -cross products by compact group duals and in quantum field theory.
Extension theorems (vector measures on quantum logics)