Analogue of oscillation theorem for nonadiabatic diatomic states: application to the A(1)Sigma(+) and b(3)Pi states of KCsстатья
Статья опубликована в высокорейтинговом журнале
Информация о цитировании статьи получена из
Web of Science,
Scopus
Статья опубликована в журнале из списка Web of Science и/или Scopus
Дата последнего поиска статьи во внешних источниках: 18 июля 2013 г.
Аннотация:Relative intensity measurements in the high resolution A(1)Sigma(+) similar to b(3)Pi -> X-1 Sigma(+) laser induced fluorescence spectra of the KCs molecule highlighted a breakdown of the conventional one-dimensional oscillation theorem (L. D. Landau and E. M. Lifshitz, Quantum Mechanics, Pergamon, New York, 1965). For strongly spin-orbit coupled A(1)Sigma(+) and b(3)Pi states the number of nodes n(A) and n(b) of the non-adiabatic vibrational eigenfunctions phi(v)(A) and phi(v)(b) corresponding to the v-th eigenstate differs essentially from their adiabatic counterparts. It is found, however, that in the general case of two-component states with wavefunctions phi(v)(1) and phi(v)(2) coupled by the sign-constant potential operator V-12 not equal 0: (1) the lowest state v = 0 is not degenerate; and (2) the arithmetic mean of the number of nodes n(1) and n(2) of phi(v)(1) and phi(v)(2) never exceeds the ordering number v of eigenstate: (n(1) + n(2))/2 <= v.