Global representations of the Heat and Schrodinger equation with singular potential

The n-dimensional Schrodinger equation with a singular potential $V_lambda(x)=lambda |x|^{-2}$ is studied. Its solution space is studied as a global representation of $widetilde{SL(2,mathbb{R})}imes O(n)$. A special subspace of solutions for which the action globalizes is constructed via nonstan...

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Bibliographic Details
Main Authors: Jose A. Franco, Mark R. Sepanski
Format: Article
Language:English
Published: Texas State University 2013-07-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2013/154/abstr.html