A discrete interaction model/quantum mechanical method for describing response properties of molecules adsorbed on metal nanoparticles

2010 ◽  
Vol 133 (7) ◽  
pp. 074103 ◽  
Author(s):  
Seth Michael Morton ◽  
Lasse Jensen
Keyword(s):  
Metal Nanoparticles ◽  
Interaction Model ◽  
Quantum Mechanical ◽  
Mechanical Method ◽  
Response Properties ◽  
Quantum Mechanical Method ◽  
Discrete Interaction

scholarly journals On the electromagnetic fields due to variable electric charges and the intensities of spectrum lines according to the quantum theory

1935 ◽  
Vol 150 (870) ◽  
pp. 416-421 ◽  
Keyword(s):  
Quantum Theory ◽  
Wave Functions ◽  
Spectral Lines ◽  
Quantum Mechanical ◽  
Final States ◽  
Electric Moment ◽  
Mechanical Method ◽  
Quantum Mechanical Method ◽  
Consistent Method ◽  
Time Average

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.

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