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...
Structure theory for second order 2D superintegrable systems with 1-parameter potentials.
Structured matrix numerical solution of the nonlinear Schrödinger equation by the inverse scattering transform.
Study of the behavior of quantum dynamics as
nonstandard bases: case of mutually unbiased bases.
Subgroups of the group of generalized Lorentz transformations and their geometric invariants.
Submanifold Dirac operators with torsion.
Sul comportamento asintotico della soluzione di un problema di radiazione
Sum of observables in fuzzy quantum spaces
We introduce the sum of observables in fuzzy quantum spaces which generalize the Kolmogorov probability space using the ideas of fuzzy set theory.
Super boson-fermion correspondence
We establish a super boson-fermion correspondence, generalizing the classical boson-fermion correspondence in 2-dimensional quantum field theory. A new feature of the theory is the essential non-commutativity of bosonic fields. The superbosonic fields obtained by the super bosonization procedure from super fermionic fields form the affine superalgebra . The converse, super fermionization procedure, requires introduction of the super vertex operators. As applications, we give vertex operator constructions...
Superconnections: an interpretation of the standard model.