Ten lectures on wavelets
Wavelets and subband coding
Matrix computations (3rd ed.)
An efficient method for band structure calculations in 2D photonic crystals
Journal of Computational Physics
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A wavelet expansion is applied for solving Schrödinger equation in order to compute band structure of an electronic crystal. In this paper we have used this method for finding band structure of one dimensional arbitrary potential. As discussed here, this algorithm could be easily applied to two- or three-dimensional arbitrary potentials. This paper is emphasizing on revealing the mathematical aspects of using wavelet expansion in computing electronic band structure. In order to find the full power of wavelets one needs to use this method in 2 or 3 dimension structures.