Spectral Representations for Schroedinger Operators with Long-Range Potentials.
Abstract
Spectral representations of Schroedinger operators T = -Delta + Q(y) are constructed, where delta is the N-dimensional Laplacian and Q(y) is a real-valued long-range potential; i.e., Q(y) = 0(abs. val of y to the - epsilon power), Labs. val. of y approaches infinity), 0 < epsilon < or = 1. A limiting absorption principle for these operators is developed in Chapter I. The asymptotic behavior of radiative functions is derived in Chapter II. The spectral representations are derived in Chapter III. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Dec 01, 1978
- Accession Number
- ADA064684
Entities
People
- Yoshimi Saito
Organizations
- University of Utah