The Foldy-Wouthuysen transformation in the two-particle case
The form boundedness criterion for the relativistic Schrödinger operator
We establish necessary and sufficient conditions on the real- or complex-valued potential defined on for the relativistic Schrödinger operator to be bounded as an operator from the Sobolev space to its dual .
The form factor program: a review and new results - the nested off-shell Bethe ansatz.
The Fourier transform on quantum Euclidean space.
The Frobenius theorem on -dimensional quantum hyperplane.
The Gap Phenomena of Yang-Mills Fields over the Complete Manifold.
The garden of quantum spheres
A list of known quantum spheres of dimension one, two and three is presented.
The generalized Lichnerowicz formula and analysis of Dirac operators.
The geometric quantization of the moduli space of Riemann surfaces with even spin structure.
The geometry of Brownian surfaces.
The geometry of Calogero-Moser systems
We give a geometric construction of the phase space of the elliptic Calogero-Moser system for arbitrary root systems, as a space of Weyl invariant pairs (bundles, Higgs fields) on the -th power of the elliptic curve, where is the rank of the root system. The Poisson structure and the Hamiltonians of the integrable system are given natural constructions. We also exhibit a curious duality between the spectral varieties for the system associated to a root system, and the Lagrangian varieties for...
The global Yang-Mills equations depending on an arbitrary metric
The ground state energy of relativistic one-electron atoms according to Jansen and Heß.
The Group of Large Diffeomorphisms in General Relativity
We investigate the mapping class groups of diffeomorphisms fixing a frame at a point for general classes of 3-manifolds. These groups form the equivalent to the groups of large gauge transformations in Yang-Mills theories. They are also isomorphic to the fundamental groups of the spaces of 3-metrics modulo diffeomorphisms, which are the analogues in General Relativity to gauge-orbit spaces in gauge theories.
The Hawking effect
The Heun equation and the Calogero-Moser-Sutherland system. II: Perturbation and algebraic solution.
The initial value problem for the quadratic nonlinear Klein-Gordon equation.
The initial value problem of the Poincaré gauge theory in vacuum. II. First order formalism
The initial value problem of the Poincaré gauge theory in vacuum. I. Second order formalism
The integrability of new two-component KdV equation.