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image/svg+xml Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao Closed Access logo, derived from PLoS Open Access logo. This version with transparent background. http://commons.wikimedia.org/wiki/File:Closed_Access_logo_transparent.svg Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao Il Nuovo Cimento Barrow_drop_down
image/svg+xml Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao Closed Access logo, derived from PLoS Open Access logo. This version with transparent background. http://commons.wikimedia.org/wiki/File:Closed_Access_logo_transparent.svg Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao
Il Nuovo Cimento B
Article . 1992 . Peer-reviewed
License: Springer TDM
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Unified theory of quantum resonance

Authors: M. Frasca;

Unified theory of quantum resonance

Abstract

Using the multiple time scale perturbation analysis on the Schrodinger 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.

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
6
Average
Top 10%
Average
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