Lieb-Thirring Bound for Schr\"odinger Operators with Bernstein Functions of the Laplacian
Fumio Hiroshima, J\'ozsef L\"orinczi
TL;DR
This paper establishes a Lieb-Thirring inequality for Schrödinger operators involving Bernstein functions of the Laplacian, expanding the mathematical understanding of spectral bounds using functional integration methods.
Contribution
It introduces a novel Lieb-Thirring bound for Schrödinger operators with Bernstein functions of the Laplacian, employing functional integration techniques.
Findings
Derived a Lieb-Thirring inequality for Bernstein functions of the Laplacian
Analyzed specific cases in detail
Extended spectral bound techniques to new operator classes
Abstract
A Lieb-Thirring bound for Schr\"odinger operators with Bernstein functions of the Laplacian is shown by functional integration techniques. Several specific cases are discussed in detail.
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