Microscopic formulation of a lattice-defect model

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Abstract
A microscopic construction method of lattice defects which can be represented by dislocation configurations in simple-cubic lattices and for interaction by central forces is given. In contrast to standard theories, where dislocations are introduced via topological operations (Burgers circuit), the author starts from a microscopic ad hoc Hamiltonian which is suitable only for central-force interacting systems. The various sectors of this microscopic Hamiltonian are associated with dislocation configurations. A detailed discussion of the stability and symmetry properties of the microscopic Hamiltonian is given. Possible extensions of the theory to non-central-force interacting systems are pointed out.

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