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Estimate from below for the $$x^2 y^4$$ x 2 y 4 potential and closely related potentials

Estimate from below for the $$x^2 y^4$$ x 2 y 4 potential and closely related potentials We give a lower bound on the ground-state energy for the 2-dimensional Schrödinger operator with non-confining potential $$x^2 y^4$$ x 2 y 4 on $$\mathbb {R}^2$$ R 2 . A method for potentials in dimension $$n>2$$ n > 2 with similar scaling properties is given. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Analysis and Mathematical Physics Springer Journals

Estimate from below for the $$x^2 y^4$$ x 2 y 4 potential and closely related potentials

Analysis and Mathematical Physics , Volume 6 (1) – Jun 17, 2015

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Publisher
Springer Journals
Copyright
Copyright © 2015 by Springer Basel
Subject
Mathematics; Analysis; Mathematical Methods in Physics
ISSN
1664-2368
eISSN
1664-235X
DOI
10.1007/s13324-015-0106-4
Publisher site
See Article on Publisher Site

Abstract

We give a lower bound on the ground-state energy for the 2-dimensional Schrödinger operator with non-confining potential $$x^2 y^4$$ x 2 y 4 on $$\mathbb {R}^2$$ R 2 . A method for potentials in dimension $$n>2$$ n > 2 with similar scaling properties is given.

Journal

Analysis and Mathematical PhysicsSpringer Journals

Published: Jun 17, 2015

References