caa a22 4500 469066199 CHVBK 20180323132909.0 cr unu---uuuuu 170328e19920801xx s 000 0 eng 10.1007/BF02899294 doi (NATIONALLICENCE)springer-10.1007/BF02899294 Frasca M. Via E. Gattamelata 3, 00176, Roma, Italia aut Unified theory of quantum resonance [Elektronische Daten] [M. Frasca] Summary: Using the multiple time scale perturbation analysis on the Schrödinger equation, we derive the resonance equations for a quantum system with a discrete spectrum. To first order these are the RWA equations for a resonant system that describe Rabi flopping. To second order we get the combined effect of Bloch-Siegert and a.c. Stark shifts. When the equations are applied to a three-state model with two resonant states, the need for mathematical consistency gives rise to a set of ordinary differential equations for the resonant amplitudes that manifest detuning due to the cited shifts and a phase difference,i.e. level shifts, for the states both resonant and nonresonant originating just from the a.c. Stark shift. The hypothesis of treating different phenomena like Rabi flopping and resonance shifts as just different time scale effects gives a unified framework to work with quantum resonance. Società Italiana di Fisica, 1992 PACS 03.65 nationallicence Quantum theory nationallicence quantum mechanics nationallicence Il Nuovo Cimento B (1971-1996) Società Italiana di Fisica 107/8(1992-08-01), 915-922 107:8<915 1992 107 40764 https://doi.org/10.1007/BF02899294 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF02899294 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Frasca M. Via E. Gattamelata 3, 00176, Roma, Italia aut NATIONALLICENCE 773 0- Il Nuovo Cimento B (1971-1996) Società Italiana di Fisica 107/8(1992-08-01), 915-922 107:8<915 1992 107 40764 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer