GEOMETRIC SPECTRAL INVERSION

DOI10.1142/9789814417532_0001zbMath1271.81077arXiv1206.4288OpenAlexW2313656099MaRDI QIDQ2837069

Richard L. Hall

Publication date: 10 July 2013

Published in: Journal of Physics A: Mathematical and General, Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1206.4288

zbMATH Keywords

shapeSchrödinger operatordiscrete spectrumvariational methodenvelope theorytrajectory functionkinetic potentialsspectral inversionapproximate inversion formulaeenvelope representationskinetic-potential formalismSchrödinger Hamiltonian operator

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Applications of operator theory in the physical sciences (47N50) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10)

Related Items (6)

Inverse problems ⋮ Constructive inversion of energy trajectories in quantum mechanics ⋮ An inversion inequality for potentials in quantum mechanics ⋮ Self-similar perturbation theory ⋮ Functional inversion for potentials in quantum mechanics ⋮ Geometric spectral inversion for singular potentials

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