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The recursive solution of the Schrödinger equation

✍ Scribed by Roger Haydock

Publisher
Elsevier Science
Year
1980
Tongue
English
Weight
644 KB
Volume
20
Category
Article
ISSN
0010-4655

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✦ Synopsis

A new approach to the computational solution of the Schfbdinger equation is based on the partial transformation of the Hamiltonian to a tridiagonal matrix. The method is especially suited to tight-binding Hamiltonians encountered in solid state physics and permits of the order of iodegrees of freedom to be included in a calculation. Independent particle Green functions are calculated naturally from the partially tridiagonalized Hamiltonian. These lead to simple computation of small energy differences, binding energies, transition matrix-elements and other useful quantities.

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