Ellipticity of quantum mechanical Hamiltonians in the edge algebra
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Publication:2257844
zbMath1306.81037arXiv1103.0207MaRDI QIDQ2257844
Hans-Jürgen Flad, G. W. Harutyunyan
Publication date: 2 March 2015
Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1103.0207
Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Analyticity in context of PDEs (35A20) Schrödinger operator, Schrödinger equation (35J10) Parametrices in context of PDEs (35A17) Second-order elliptic systems (35J47)
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Numerical tensor techniques for multidimensional convolution products ⋮ Asymptotic parametrices of elliptic edge operators ⋮ Regularity for eigenfunctions of Schrödinger operators ⋮ Vacuum isolating and blow-up analysis for edge hyperbolic system on edge Sobolev spaces ⋮ Calculus on spaces with higher singularities ⋮ Global well posedness for the semilinear edge-degenerate parabolic equations on singular manifolds ⋮ Order filtrations of the edge algebra ⋮ Holomorphic operator families on a manifold with edge ⋮ Ellipticity of the quantum mechanical Hamiltonians: corner singularity of the helium atom ⋮ Estimates on derivatives of coulombic wave functions and their electron densities ⋮ Analysis on regular corner spaces ⋮ Explicit Green operators for quantum mechanical Hamiltonians. II. Edge-type singularities of the helium atom ⋮ Iterative properties of pseudo-differential operators on edge spaces
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