Puits multiples en mecanique semi-classique iv etude du complexe de witten

From MaRDI portal
Publication:3729408

DOI10.1080/03605308508820379zbMath0597.35024OpenAlexW1979290871MaRDI QIDQ3729408

Bernard Helffer, Johannes Sjöstrand

Publication date: 1985

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03605308508820379




Related Items (75)

Scattering diagrams from asymptotic analysis on Maurer-Cartan equationsCOVER OF THE BROWNIAN BRIDGE AND STOCHASTIC SYMPLECTIC ACTIONWITTEN DEFORMATION FOR NONCOMPACT MANIFOLDS WITH BOUNDED GEOMETRYIsotropic hypoelliptic and trend to equilibrium for the Fokker-Planck equation with a high-degree potentialThe Witten complex for singular spaces of dimension two with cone‐like singularitiesIsolated Singularity, Witten's Laplacian, and Duality for Twisted de Rham CohomologyPerturbations of Dirac operatorsSome remarks on Witten's method. Poincaré-Hopf theorem and Atiyah-Bott formulaWitten's perturbation on strata with general adapted metricsThe tunneling effect for Schrödinger operators on a vector bundleSupersymmetric structures for second order differential operatorsA Cheeger-Müller theorem for delocalized analytic torsionOn uniform observability of gradient flows in the vanishing viscosity limitSemiclassical asymptotics on covering manifolds and Morse inequalitiesAnalytic and Reidemeister torsion for representations in finite type Hilbert modulesSharp spectral asymptotics for nonreversible metastable diffusion processesThe exit from a metastable state: concentration of the exit point distribution on the low energy saddle points. IReturn to Equilibrium, Non-self-adjointness and Symmetries, Recent Results with M. Hitrik and F. HérauMetastability results for a class of linear Boltzmann equationsA complex in Morse theory computing intersection homologyRésonances en limite semi-classiqueOn uniform controllability of 1D transport equations in the vanishing viscosity limitSpectral analysis of discrete metastable diffusionsA proof of the stratified Morse inequalities for singular complex algebraic curves using the Witten deformationSpectral localization for semimetals and Callias operatorsUnstable geodesics and topological field theorySmall eigenvalues of the Neumann realization of the semiclassical Witten LaplacianUsing Witten Laplacians to Locate Index-1 Saddle PointsPrecise Arrhenius law for \(p\)-forms: the Witten Laplacian and Morse-Barannikov complex\(L^p\)-analysis of the Hodge-Dirac operator associated with Witten Laplacians on complete Riemannian manifoldsLow-lying eigenvalues and convergence to the equilibrium of some piecewise deterministic Markov processes generators in the small temperature regimeComparison between two complexes on a singular spaceMorse-type inequalities for dynamical systems and the Witten LaplacianA deformation of Hodge theory on the cotangent bundleThe geometric complex for algebraic curves with cone-like singularities and admissible Morse functionsAsymptotic eigenfunctions for Schrödinger operators on a vector bundleFukaya's conjecture on Witten's twisted \(A_\infty\) structureA Cheeger-Müller theorem for symmetric bilinear torsionsAN ANALYTIC APPROACH TO THE STRATIFIED MORSE INEQUALITIES FOR COMPLEX CONESThe geometric complex for algebraic curves with cone-like singularities and admissible Morse functionsTosio Kato's work on non-relativistic quantum mechanics. IOn the semi-classical analysis of the ground state energy of the Dirichlet Pauli operatorToeplitz operators, analytic torsion, and the hypoelliptic LaplacianMorse inequalities for \({\mathbb{R}{}}\)-constructible sheavesStochastic Wess-Zumino-Witten model over a symplectic manifoldTunnel effect and symmetries for Kramers–Fokker–Planck type operatorsThe Witten deformation for even dimensional conformally conic manifoldsComplex immersions and Quillen metricsAbout small eigenvalues of the Witten LaplacianSUPERSYMMETRY AND BROWNIAN MOTION ON SUPERMANIFOLDSRELATIVE TORSIONThe hypoelliptic Laplacian on the cotangent bundlePartial differential equations and stochastic methods in molecular dynamicsMetastability in reversible diffusion processes. I: Sharp asymptotics for capacities and exit timesThe Morse-Witten complex via dynamical systemsSharp asymptotics of the first exit point densityThe Witten deformation for even dimensional spaces with cone-like singularities and admissible Morse functionsA Semiclassical Approach to the Kramers--Smoluchowski EquationAn extension of a theorem by Cheeger and Müller to spaces with isolated conical singularitiesPollicott-Ruelle spectrum and Witten LaplaciansThe local index density of the perturbed de Rham complexThe Witten deformation of the Dolbeault complexAround supersymmetry for semiclassical second order differential operatorsMorse theory indomitablePurely magnetic tunneling effect in two dimensionsAnalytic eigenbranches in the semi-classical limitTopology of Pollicott-Ruelle resonant statesWitten complex and supersymmetric quantum mechanics on SO(3)Unnamed ItemThe diatomic Hartree model at dissociationGaussian Process Landmarking for Three-Dimensional Geometric MorphometricsWitten-Helffer-Sjöstrand theory for 𝑆¹-equivariant cohomologyMilnor and Ray-Singer metrics on the equivariant determinant of a flat vector bundleHypoelliptic Laplacian, analytical twist and Cheeger-Müller theoremSmall eigenvalues of the Witten Laplacian with Dirichlet boundary conditions: the case with critical points on the boundary



Cites Work


This page was built for publication: Puits multiples en mecanique semi-classique iv etude du complexe de witten