On the Ill-Posed Character of the Lorentz Integral Transform
| Autor: | W. Gloeckle, M. Schwamb |
|---|---|
| Rok vydání: | 2009 |
| Předmět: |
Physics
Nuclear Theory Lorentz transformation Spectrum (functional analysis) Continuous spectrum Mathematical analysis FOS: Physical sciences Integral transform Atomic and Molecular Physics and Optics Exponential function Nuclear Theory (nucl-th) symbols.namesake Character (mathematics) Fourier transform Kernel (statistics) symbols |
| Zdroj: | Few-Body Systems. 46:55-62 |
| ISSN: | 1432-5411 0177-7963 |
| DOI: | 10.1007/s00601-009-0050-7 |
| Popis: | An exact inversion formula for the Lorentz integral transform (LIT) is provided together with the spectrum of the LIT kernel. The exponential increase of the inverse Fourier transform of the LIT kernel entering the inversion formula explains the ill-posed character of the LIT approach. Also the continuous spectrum of the LIT kernel, which approaches zero points necessarily to the same defect. A possible cure is discussed and numerically illustrated. Comment: 13 pages, 3 figures |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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