Spectral Representations for Schroedinger Operators with Long-Range Potentials.
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UTAH UNIV SALT LAKE CITY DEPT OF MATHEMATICS
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Spectral representations of Schroedinger operators T -Delta Qy are constructed, where delta is the N-dimensional Laplacian and Qy is a real-valued long-range potential i.e., Qy 0abs. 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
- Theoretical Mathematics