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An Estimate of the Gap of Spectrum of Schrödinger Operators which Generate Hyperbounded Semigroups

✍ Scribed by Shigeki Aida

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
316 KB
Volume
185
Category
Article
ISSN
0022-1236

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✦ Synopsis

In this paper, we will give a lower bound on the gap by using a weak Poincare inequality which was introduced by M. Ro ckner and F.-Y. Wang (2000, Weak Poincare inequalities and L 2 -convergence rates of Markov semigroups, preprint). Also we will give estimates on the distribution function of ground states using the weak Poincare inequality.

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