Time-Dependent Solutions of a Discrete Schrodinger's Equation

Details Time-Dependent Solutions of a Discrete Schrodinger's Equation Time-Dependent Solutions of a Discrete Schrodinger's Equation

2004-08-09

arxiv.org/abs/math/0408116v1

Mathematics

Spectral Theory

Master's thesis

Scientific paper

By substituting the diagonal and the other two adjacent diagonals terms with
two different functions depending on two parameters of the discrete Laplacian
operator, the nature of its spectrum changes from being purely continuous to
partially continuous. We present the existence of three isolated eigenvalues by
altering those two parameters.

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