A continuity argument for a semilinear Skyrme model.
A continuous geometry as a mathematical model for quantum mechanics
A convergence theorem for Dirichlet forms with applications to boundary value problems with varying domains.
A decoupling approach to resonances for multiparticle quantum scattering systems
A Deformed Quon Algebra
The quon algebra is an approach to particle statistics in order to provide a theory in which the Pauli exclusion principle and Bose statistics are violated by a small amount. The quons are particles whose annihilation and creation operators obey the quon algebra which interpolates between fermions and bosons. In this paper we generalize these models by introducing a deformation of the quon algebra generated by a collection of operators , , on an infinite dimensional vector space satisfying the...
A descendent relation in genus 2
A discrete and finite approach to past physical reality.
A discrete Hardy-Laptev-Weidl-type inequality and associated Schrödinger-type operators.
A duality between Schrödinger operators on graphs and certain Jacobi matrices
A family of exactly solvable radial quantum systems on space of non-constant curvature with accidental degeneracy in the spectrum.
A field equation defined by a Hurwitz pair
A functorial approach to differential characters.
A fundamental geometry of quantum physics.
A gauge theoretical approach to space-time structures
A gauge-field approach to 3- and 4-manifold invariants
An approach to construction of topological invariants of the Reshetikhin-Turaev-Witten type of 3- and 4-dimensional manifolds in the framework of SU(2) Chern-Simons gauge theory and its hidden (quantum) gauge symmetry is presented.
A generalised Hopf algebra for solitons.
A generalization of Gordon's theorem and applications to quasiperiodic Schrödinger operators.
A generalization of the conservation integral
Starting from the scheme given by Hudson and Parthasarathy [7,11] we extend the conservation integral to the case where the underlying operator does not commute with the time observable. It turns out that there exist two extensions, a left and a right conservation integral. Moreover, Itô's formula demands for a third integral with two integrators. Only the left integral shows similar continuity properties to that derived in [11] used for extending the integral to more than simple integrands. In...
A generalization of the radiation condition of Sommerfeld for -body Schrödinger operators
A generalized coherent state approach of the quantum dynamics for suitable time-dependent hamiltonians