Premium
Stationarity of resonant pole trajectories in complex scaling
Author(s) -
Canuto Sylvio,
Goscinski Osvaldo
Publication year - 1978
Publication title -
international journal of quantum chemistry
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.484
H-Index - 105
eISSN - 1097-461X
pISSN - 0020-7608
DOI - 10.1002/qua.560140407
Subject(s) - scaling , virial theorem , physics , perturbation theory (quantum mechanics) , perturbation (astronomy) , connection (principal bundle) , reciprocity (cultural anthropology) , rayleigh scattering , statistical physics , quantum mechanics , mathematics , classical mechanics , mathematical physics , geometry , psychology , social psychology , galaxy
A reciprocity theorem relating the real parameters η and α that define the complex scaling transformation r →η re i α in the theory of complex scaling for resonant states is demonstrated. The virial theorem is used in connection with the stationarity of the pole trajectory. The Stark broadening in the hydrogen atom using a basis set generated by Rayleigh–Schrödinger perturbation theory is treated as an example.