Resonant processes dynamic solution of the Newns-Anderson Hamiltonian

RESONANT PROCESSES DYNAMIC SOLUTION OF THE NEWNS-ANDERSON HAMILTONIAN 

In equation (14), to is the initial time and the first term of this equation represents the memory contribution associated with the initial condition, wisfto), for the occupancy nis(0. The second term of this equation takes into account all the back and forth electron resonant jumps between the ion and the metal. For an incident ion, say He+, nis(to) —0, while for an incident neutral atom, like He , nis(to) — 1- The initial time is defined by the initial 

Notice that in the static limit only the second term of equation (14) contrihutes to (there is no memory contrihution) and equation 

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Resonant processes dynamic solution of the Newns-Anderson Hamiltonian... 

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