Phase space properties of local observables and structure of scaling limits
Photoemissive sources and quantum stochastic calculus
Physique et mathématique
Physique quantique et formules de localisation
Planar binary trees and perturbative calculus of observables in classical field theory
Planarizable supersymmetric quantum toboggans.
Point canonical transformation versus deformed shape invariance for position-dependent mass Schrödinger equations.
Points tournants et résonances de Stark-Wannier
Pointwise bounds on the asymptotics of spherically averaged -solutions of one-body Schrödinger equations
Pointwise Convergence Theorems in L2 over a von Neumann Algebra.
Poisson cohomology and quantization.
Poisson geometry of flat connections for SU(2)-bundles on surfaces.
Poisson Lie groups and their relations to quantum groups
The notion of Poisson Lie group (sometimes called Poisson Drinfel'd group) was first introduced by Drinfel'd [1] and studied by Semenov-Tian-Shansky [7] to understand the Hamiltonian structure of the group of dressing transformations of a completely integrable system. The Poisson Lie groups play an important role in the mathematical theories of quantization and in nonlinear integrable equations. The aim of our lecture is to point out the naturality of this notion and to present basic facts about...
Poisson stochastic integration in Hilbert spaces
Poisson structures on certain moduli spaces for bundles on a surface
Let be a closed surface, a compact Lie group, with Lie algebra , and a principal -bundle. In earlier work we have shown that the moduli space of central Yang-Mills connections, with reference to appropriate additional data, is stratified by smooth symplectic manifolds and that the holonomy yields a homeomorphism from onto a certain representation space , in fact a diffeomorphism, with reference to suitable smooth structures and , where denotes the universal central extension of...
Poisson-Lie groups and complete integrability. I. Drinfeld bigebras, dual extensions and their canonical representations
Polarization and Unitary Representations of Solvable Lie Groups.
Pole-factorization theorem in quantum electrodynamics
Polynomial boundedness of eigensolutions and the spectrum of Schrödinger operators.
Positive energy quantization of linear dynamics
The abstract mathematical structure behind the positive energy quantization of linear classical systems is described. It is separated into three stages: the description of a classical system, the algebraic quantization and the Hilbert space quantization. Four kinds of systems are distinguished: neutral bosonic, neutral bosonic, charged bosonic and charged fermionic. The formalism that is described follows closely the usual constructions employed in quantum physics to introduce noninteracting quantum...