Statements (24)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:inequality
|
| gptkbp:appliesTo |
gptkb:Schrödinger_operator
|
| gptkbp:concerns |
self-adjoint operators
negative eigenvalues spectral bounds |
| gptkbp:describes |
bounds on sums of powers of negative eigenvalues of Schrödinger operators
|
| gptkbp:field |
functional analysis
mathematical physics |
| gptkbp:form |
\\( \\sum_j |\\lambda_j|^\\gamma \\leq L_{\\gamma,d} \\int_{\\mathbb{R}^d} V_-(x)^{\\gamma + d/2} dx \\)
|
| https://www.w3.org/2000/01/rdf-schema#label |
Lieb–Thirring inequality
|
| gptkbp:namedAfter |
gptkb:Elliott_H._Lieb
gptkb:Walter_Thirring |
| gptkbp:parameter |
dimension d
constant \\(L_{\\gamma,d}\\) exponent \\(\\gamma\\) potential V(x) |
| gptkbp:publishedIn |
1976
|
| gptkbp:relatedTo |
gptkb:Cwikel–Lieb–Rosenblum_inequality
gptkb:Sobolev_inequality |
| gptkbp:usedIn |
quantum mechanics
spectral theory stability of matter |
| gptkbp:bfsParent |
gptkb:Elliott_H._Lieb
|
| gptkbp:bfsLayer |
5
|