Abstract
The Siegert states are approached in framework of Bloch-Lane-Robson formalism for quantum collisions. The Siegert state is not described by a pole of Wigner R-matrix but rather by the equation 1 - RnnLn = 0, relating R-matrix element R-nn to decay channel logarithmic derivative L-n. Extension of Siegert state equation to multichannel system results in the replacement of channel R- matrix element R-nn by its reduced counterpart R-nn. One proves the Siegert state is a pole, (1 - RnnLn)(-1), of multichannel collision matrix. The Siegert equation 1 - RnnLn = 0, (n - Rydberg channel), implies basic results of Quantum Defect Theory as Seaton's theorem, complex quantum defect, channel resonances and threshold continuity of averaged multichannel collision matrix elements.
Dokumententyp: | Zeitschriftenartikel |
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Fakultät: | Physik |
Themengebiete: | 500 Naturwissenschaften und Mathematik > 530 Physik |
ISSN: | 1434-6060 |
Sprache: | Englisch |
Dokumenten ID: | 89539 |
Datum der Veröffentlichung auf Open Access LMU: | 25. Jan. 2022, 09:31 |
Letzte Änderungen: | 25. Jan. 2022, 09:31 |