About me

I am Dibyendu Bala,student of Tata Institute of Fundamental Research,in the department of condensed matter physics. I will be working on scattering matrix in one dimensional quantum mechanics. https://en.wikipedia.org/wiki/S-matrix

My Plan

I want to add S-matrix in one dimensional quantum mechanics for a plane wave function(definite momentum state).Initially I will prefer to give the definition of S-matrix in case of short range potential barrier.Then relate transmission coefficient and reflection coefficient in terms of matrix element of S-matrix.I am also interested to show that the unitary matrix property is related to the conservation of probability current.Finally I will also include the effect of symmetry of the Hamiltonian on the S-matrix and the one dimensional version of optical theorem.

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