An iterative method to obtain a solution of the differential equation Mathematical expression, with Ĥ a 3×3 Hermitian matrix and a the unknown vector, is proposed. The procedure is particularly suitable for computer implementation and, as an example, has been applied to find the excitation probability of a three-level atom after the synchronous passage of two laser pulses each almost resonant with a pair of atomic levels. © 1989 Società Italiana di Fisica.
Bagarello, F., Fiordilino, E. (1989). Three-state quantum systems: A procedure for the solution. NUOVO CIMENTO DELLA SOCIETÀ ITALIANA DI FISICA. D CONDENSED MATTER, ATOMIC, MOLECULAR AND CHEMICAL PHYSICS, BIOPHYSICS, 11(3), 405-418 [10.1007/BF02450990].
Three-state quantum systems: A procedure for the solution
BAGARELLO, Fabio;FIORDILINO, Emilio
1989-01-01
Abstract
An iterative method to obtain a solution of the differential equation Mathematical expression, with Ĥ a 3×3 Hermitian matrix and a the unknown vector, is proposed. The procedure is particularly suitable for computer implementation and, as an example, has been applied to find the excitation probability of a three-level atom after the synchronous passage of two laser pulses each almost resonant with a pair of atomic levels. © 1989 Società Italiana di Fisica.
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