Derivation and Correlation between Pythagorus (560-479BC) and Mathieu's (1868) equation: Spectral nature between Mathieu's and Modified Mathieu's equation

Abstract

We derive Pythagoras theorem. From the Pythagoras theorem, we also derive Mathieu's equation via modified Mathieu's equation. A spectral com- parison has been carried out between modified Mathieu's equation and Mathieu's equation. Apart from this, we also present discrete bound states corresponding to modified Mathieu's equation of a quantum rectangular type of model potential.

arXiv commentThis paper for replacement .(i) Minor change in title reflecting wave function analysis(ii) Abstract-chaed suitably to refect wave function (iii) Text original work with information on wave function ,comparison and slight modification in references.Kindly accept