Inequalities and uncertainty principles
- 1 February 1978
- journal article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 19 (2) , 461-466
- https://doi.org/10.1063/1.523667
Abstract
Sobolev inequalities give lower bounds for quantum mechanical Hamiltonians. These inequalities are derived from commutator inequalities related to the Heisenberg uncertainty principle.Keywords
This publication has 8 references indexed in Scilit:
- Weak Type Estimates for Singular Values and the Number of Bound States of Schrodinger OperatorsAnnals of Mathematics, 1977
- Best constant in Sobolev inequalityAnnali di Matematica Pura ed Applicata (1923 -), 1976
- The stability of matterReviews of Modern Physics, 1976
- Weak Lebesgue spaces and quantum mechanical bindingDuke Mathematical Journal, 1976
- Bounds on the eigenvalues of the Laplace and Schroedinger operatorsBulletin of the American Mathematical Society, 1976
- Inequalities in Fourier AnalysisAnnals of Mathematics, 1975
- Uncertainty relations for information entropy in wave mechanicsCommunications in Mathematical Physics, 1975
- Nonsaturation of Gravitational ForcesJournal of Mathematical Physics, 1969