scholarly journals Comparison of semiclassical, quasiclassical, and exact quantum transition probabilities for the collinear H + H2 exchange reaction

1973 ◽  
Vol 59 (12) ◽  
pp. 6524-6534 ◽  
Author(s):  
Joel M. Bowman ◽  
Aron Kuppermann
Keyword(s):  
Exchange Reaction ◽  
Transition Probabilities ◽  
Quantum Transition ◽  
Exact Quantum

Quantum Transition Probabilities and the Level of Consciousness

2010 ◽  
Vol 24 (2) ◽  
pp. 136-140 ◽  
Author(s):  
Jordan Pop-Jordanov ◽  
Nada Pop-Jordanova
Keyword(s):  
Transition Probabilities ◽  
Transition Probability ◽  
Probability Model ◽  
Analytical Formula ◽  
Characteristic Parameter ◽  
Dipole Interaction ◽  
Quantum Transition ◽  
Frequency Interval ◽  
Consciousness Level ◽  
Level Of Consciousness

This paper proposes a theoretical approach to explain the characteristic empirical interdependence between the states of arousal (representing the level of consciousness) and EEG activity. Applying a quantum transition probability model to the brain’s electric field-dipole interaction, an analytical formula is derived that corresponds to the empirical arousal-frequency correlation, both in form (sigmoid) and the frequency interval (from 0 to 100 Hz). In addition, we consider the possible theoretical and practical implications. Thus, a general formula for consciousness level is deduced, with equilibrium frequency as the characteristic parameter. We also briefly discuss the quantum-classical coupling and nested relationship between the consciousness level and content as well as the clinical relevance.

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