New Variational Bounds on Generalized Polarizabilities.
Abstract
New variational bounds are derived on the generalized polarizabilities of a quantum-mechanical system, for arbitrary complex frequencies zeta=nu+i omega and two different perturbations u and v. No power of the Hamiltonian h higher than h squared is involved in the bounding functionals. For a certain range of nu-values, upper and lower bounding functionals are obtained which contain merely a single trail vector but also introduce an inverse operator like 1/h. This impractical feature can be avoided with a subsidiary variational principle, leading to bivariational upper and lower bounds. Explicit bivariational bounds are also derived which are valid for all values of zeta. Both theoretical and practical aspects of the bounds are discussed. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Feb 01, 1977
- Accession Number
- ADA038958
Entities
People
- Peter D. Robinson
Organizations
- University of Wisconsin–Madison