Quantum-hydrodynamic approach to the problem of electron exchange between atomic particles and nanosystems |
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Authors: | I K Gainullin V A Khodyrev |
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Institution: | 1.Physics Faculty,Moscow State University,Moscow,Russia |
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Abstract: | The application of quantum-hydrodynamic methods for solving the problem of electron exchange between atomic particles and solid surfaces, and nanosystems has been examined. The derivation of a system of equations that is alternative to the nonstationary Schrödinger equation is given to describe the dynamics of electronic processes with variable charge and current densities. A comparison of results of solving the nonstationary Schrödinger equation and the quantum-hydrodynamic system of equations shows that both approaches give a good coincidence. The numerical solution to the system of quantum-hydrodynamic equations has a number of advantages, because it does not lead to oscillations at the boundary of the computational mesh and nor to the problem of exponential growth in numerical complexity for many-electron systems. |
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