Extraction of eigenstates from an optically prepared state by a time-dependent quantum-mechanical method. Toward simulation of “intermediate case” radiationless transitions

1993 ◽  
Vol 214 (2) ◽  
pp. 137-143 ◽  
Author(s):  
H. Kono

In a recent paper Schott has criticized the quantum mechanical method of finding the intensities of spectral lines, and in particular the assumption that the intensity may be derived by treating the atom as a dipole, radiating classically. The electric moment of this dipole is taken as p = e -2 πivt ∫ Ψ* f rΨ i d τ + Conjugate complex, (1A) where Ψ i and Ψ f are the wave functions of the initial and final states of the atom respectively, and in the Quantum Theory the usual assumption is that the energy radiated per unit time is given by R = 2 |p¨ ¯ | 2 /3 c 2 , (1B) where p¨ ¯ is the time average of p¨. A more consistent method is suggested in which the electric density ρ and the current j, corresponding to the transition, are found, and the electromagnetic field due to these two is examined.


1971 ◽  
Vol 26 (2) ◽  
pp. 181-185 ◽  
Author(s):  
D. Biskamp ◽  
D. Pfirsch

AbstractA Fokker-Planck equation for the non-resonant scattering of particles by general weakly turbulent electromagnetic fields is derived using a simple quantum-mechanical method. The equation is compared with the corresponding weak turbulence equation as given e. g. in Kadomtsev's book and two applications are discussed.


2006 ◽  
Vol 129 (3) ◽  
pp. 181-184 ◽  
Author(s):  
V. Sathyanarayanamoorthi ◽  
U. Ponnambalam ◽  
S. Gunasekaran ◽  
V. Kannappan

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