Open AccessGeneralized Continuity Equation for Quasi-Hermitian Hamiltonians
Author(s) -
Amine B. Hammou
Publication year - 2013
Publication title -
acta polytechnica
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.207
H-Index - 15
eISSN - 1805-2363
pISSN - 1210-2709
DOI - 10.14311/1803
Subject(s) - hermitian matrix , unitarity , relation (database) , mathematics , reflection (computer programming) , mathematical physics , current (fluid) , function (biology) , physics , mathematical analysis , pure mathematics , quantum mechanics , computer science , database , evolutionary biology , biology , thermodynamics , programming language
The continuity relation is generalized to quasi-Hermitian one-dimensional Hamiltonians. As an application we show that the reflection and transmission coefficients computed with the generalized current obey the conventional unitarity relation for the continuous double delta function potential.