Conformally flat Riemannian metrics, Schrödinger operators, and semiclassical approximation
type: Item
instance of: scholarly article
title: Conformally flat Riemannian metrics, Schrödinger operators, and semiclassical approximation
zbMATH Open document ID: 0616.34020
DOI: 10.1016/0022-0396(87)90030-1
published in: Journal of Differential Equations
publication date: 1987-01-01T00:00:00Z
Mathematics Subject Classification ID: 34L99
zbMATH DE Number: 3998252
zbMATH Keywords: Liouville-Green approximation
zbMATH Keywords: Schrödinger operators
zbMATH Keywords: Laplace-Beltrami operators
zbMATH Keywords: Green functions
author: E. Brian Davies
author: Evans M. II Harrell
MaRDI profile type: Publication
full work available at URL: 0022-0396(87)90030-1
OpenAlex ID: W2064941618
cites work: Q5653193
cites work: Q3913305
cites work: Schrödinger semigroups
cites work: On non-Riemannian sectional curvature in Riemannian homogeneous spaces
cites work: Double wells
cites work: Instantons, double wells and large deviations
cites work: Multiple wells in the semi-classical limit I
cites work: Q3906660
cites work: Q3207481
cites work: Q3874600
cites work: A remark on two dimensional periodic potentials
cites work: Q5540675
cites work: Q4774804
cites work: On the Existence of Positive Solutions of Semilinear Elliptic Equations
cites work: Positive solutions of nonlinear elliptic equations involving critical sobolev exponents
cites work: Conformal deformation of a Riemannian metric to constant scalar curvature
cites work: Q5542608
cites work: On the Extension of Ambarzumian's Inverse Spectral Theorem to Compact Symmetric Spaces
cites work: The band-structure of a one-dimensional, periodic system in a scaling limit
cites work: Q3692119
cites work: Q3969238
cites work: Pointwise bounds on eigenfunctions and wave packets in N-body quantum systems. IV
cites work: An historical survey of ordinary linear differential equations with a large parameter and turning points
cites work: The development of asymptotic solutions of linear ordinary differential equations, 1817-1920
cites work: The Wentzel-Brillouin-Kramers Method of Solving the Wave Equation
cites work: Is the Frequency Theory of Probability Adequate for All Scientific Purposes?
cites work: Q5338917
cites work: Q4059363
cites work: Extended \(L^p\)-error bounds for spline and \(L\)-spline interpolation
cites work: On the equivalence of two types of oscillation for elliptic operators
cites work: Nonoscillatory elliptic equations
cites work: Positive solutions of elliptic equations
cites work: Semiclassical analysis of low lying eigenvalues. III: Width of the ground state band in strongly coupled solids
cites work: Improved error bounds for the Liouville Green (or WKB) approximation
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description: scientific article; zbMATH DE number 3998252