Status report on the instanton counting.
Sto rokov od narodenia Erwina Schrödingera. I. Schrödinger a jeho cesta ku kvantovej mechanike
Sto rokov od narodenia Erwina Schrödingera. II. Schrödingerova rovnica a vzik kvantovej chŕmie
Stochastic bosonization for a Fermi system
Stochastic bosonization for an interacting Fermi system
Stochastic methods and differential geometry
Stochastic theories and deterministic differential equations.
Straight quantum waveguide with Robin boundary conditions.
Strange phenomena related to ordering problems in quantizations.
Stratonovich-Weyl correspondence for discrete series representations
Let be a Hermitian symmetric space of the noncompact type and let be a discrete series representation of holomorphically induced from a unitary character of . Following an idea of Figueroa, Gracia-Bondìa and Vàrilly, we construct a Stratonovich-Weyl correspondence for the triple by a suitable modification of the Berezin calculus on . We extend the corresponding Berezin transform to a class of functions on which contains the Berezin symbol of for in the Lie algebra of . This allows...
Stratonovich-Weyl correspondence for the Jacobi group
We construct and study a Stratonovich-Weyl correspondence for the holomorphic representations of the Jacobi group.
Strichartz and smoothing estimates for Schrödinger operators with large magnetic potentials in
We present a novel approach for bounding the resolvent of for large energies. It is shown here that there exist a large integer and a large number so that relative to the usual weighted -norm, for all . This requires suitable decay and smoothness conditions on . The estimate (2) is trivial when , but difficult for large since the gradient term exactly cancels the natural decay of the free resolvent. To obtain (2), we introduce a conical decomposition of the resolvent and then sum over...
Strichartz inequalities for Lipschitz metrics on manifolds and nonlinear Schrödinger equation on domains
We prove wellposedness of the Cauchy problem for the nonlinear Schrödinger equation for any defocusing power nonlinearity on a domain of the plane with Dirichlet boundary conditions. The main argument is based on a generalized Strichartz inequality on manifolds with Lipschitz metric.
Strichartz inequality for orthonormal functions
We prove a Strichartz inequality for a system of orthonormal functions, with an optimal behavior of the constant in the limit of a large number of functions. The estimate generalizes the usual Strichartz inequality, in the same fashion as the Lieb-Thirring inequality generalizes the Sobolev inequality. As an application, we consider the Schrödinger equation in a time-dependent potential and we show the existence of the wave operator in Schatten spaces.
String picture of gauge fields
The article reviews attempts to formulate the theory of gauge fields in terms of a string theory.
String theory and duality.
Strong field, noncommutative QED.
Strong resonant tunneling, level repulsion and spectral type for one-dimensional adiabatic quasi-periodic Schrödinger operators
Strong uniqueness for certain infinite dimensional Dirichlet operators and applications to stochastic quantization
Structure fractals and para-quaternionic geometry
It is well known that starting with real structure, the Cayley-Dickson process gives complex, quaternionic, and octonionic (Cayley) structures related to the Adolf Hurwitz composition formula for dimensions p = 2, 4 and 8, respectively, but the procedure fails for p = 16 in the sense that the composition formula involves no more a triple of quadratic forms of the same dimension; the other two dimensions are n = 27. Instead, Ławrynowicz and Suzuki (2001) have considered graded fractal bundles of...