Perturbation of an eigen-value from a dense point spectrum : a general Floquet hamiltonian
Perturbative expansions in quantum mechanics
We prove a analytic versal deformation theorem in the Heisenberg algebra. We define the spectrum of an element in the Heisenberg algebra. The quantised version of the Morse lemma already shows that the perturbation series arising in a perturbed harmonic oscillator become analytic after a formal Borel transform.
Perturbative quantum gravity and its relation to gauge theory.
Perturbative treatment of the evolution operator associated with Raman couplings.
Phase field model for mode III crack growth in two dimensional elasticity
A phase field model for anti-plane shear crack growth in two dimensional isotropic elastic material is proposed. We introduce a phase field to represent the shape of the crack with a regularization parameter and we approximate the Francfort–Marigo type energy using the idea of Ambrosio and Tortorelli. The phase field model is derived as a gradient flow of this regularized energy. We show several numerical examples of the crack growth computed with an adaptive mesh finite element method.
Phase Retrieval Techniques for Radar Ambiguity Problems.
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