arXiv subjects

Mario Ivan Estrada Delgado

Publications and source records attributed to Mario Ivan Estrada Delgado.

2 recordsLinked to original sources

arXiv2023

Quantum random walks on a beam splitter array

The general matrix representation of a beam splitter array is presented. Each beam splitter has a transmission/reflection coefficient that determines the behavior of these individual devices and, in consequence, the whole system response. The general matrix representation of each beam splitter is given as rotations of a $2n-{th}$ dimensional space. With these operators, the matrix that describes the entire array and, consequently, the final probability distribution of an input photon state can be calculated.

quant-ph↗

arXiv2019

Ladder operators for the Ben Daniel-Duke Hamiltonians and their SUSY partners

Position dependent mass systems can be described by a class of operators which include the Ben Daniel-Duke Hamiltonians. The usual methods to solve this kind of problems are, in general, either numerical or those looking for a connection with constant mass problems. In this paper we impose the existence of first-order ladder operators to fix our initial system. Then, we perform the first and second order supersymmetric transformations to generate families of Hamiltonians whose eigenfunctions are known analytically for a given mass profile.

math-ph↗