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The energy spectrum of an amorphous substance

1960; Elsevier BV; Volume: 26; Issue: 12 Linguagem: Inglês

10.1016/0031-8914(60)90152-x

1873-1767

P. Phariseau,

Quantum Mechanics and Non-Hermitian Physics

By means of a Green's function method we discuss the energy-spectrum of an electron moving in a one-dimensional model of an amorphous solid, consisting of atoms of the same kind, each represented by a Dirac's δ-function. The integration of the Schrödinger equation is reduced to the integration of a linear and homogeneous equation of the second order. Using a continued fraction method, we prove the existence of allowed energy-bands in amorphous solids. Moreover, we have extra localized energy levels in the forbidden energy regions.