Virtual lattice dynamics method in quantum mechanics

Details Virtual lattice dynamics method in quantum mechanics Virtual lattice dynamics method in quantum mechanics

1998-11-28

arxiv.org/abs/cond-mat/9811397v1

Physics

Condensed Matter

Disordered Systems and Neural Networks

4 pages, 8 figures

Scientific paper

General molecular dynamic approach, making possible direct calculation of eigen values and eigen functions for a quantum-mechanical system of an arbitrary symmetry is proposed. The method is based on analogy between discrete representation of the Schr\"{o}dinger equation and the system of Newton equations describing dynamics of specially constructed virtual lattice. Few examples demonstrating the method capabilities are considered.

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