Accession Number:

ADA038958

Title:

New Variational Bounds on Generalized Polarizabilities.

Descriptive Note:

Technical summary rept.,

Corporate Author:

WISCONSIN UNIV MADISON MATHEMATICS RESEARCH CENTER

Personal Author(s):

Report Date:

1977-02-01

Pagination or Media Count:

25.0

Abstract:

New variational bounds are derived on the generalized polarizabilities of a quantum-mechanical system, for arbitrary complex frequencies zetanui 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 1h. 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

Subject Categories:

  • Theoretical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE