Mathematics – Spectral Theory
Scientific paper
2005-05-25
Journal of Mathematical Physics 47 (2006) 022109
Mathematics
Spectral Theory
Scientific paper
10.1063/1.2168124
When an eigenvector of a semi-bounded operator is positive, we show that a remarkably simple argument allows to obtain upper and lower bounds for its associated eigenvalue. This theorem is a substantial generalization of Barta-like inequalities and can be applied to non-necessarily purely quadratic Hamiltonians. An application for a magnetic Hamiltonian is given and the case of a discrete Schrodinger operator is also discussed. It is shown how this approach leads to some explicit bounds on the ground-state energy of a system made of an arbitrary number of attractive Coulombian particles.
No associations
LandOfFree
Upper and lower bounds for an eigenvalue associated with a positive eigenvector does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Upper and lower bounds for an eigenvalue associated with a positive eigenvector, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Upper and lower bounds for an eigenvalue associated with a positive eigenvector will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-641955