Finite-Dimensional Bicomplex Hilbert Spaces
Functional Analysis
2011-08-10 v4
Abstract
This paper is a detailed study of finite-dimensional modules defined on bicomplex numbers. A number of results are proved on bicomplex square matrices, linear operators, orthogonal bases, self-adjoint operators and Hilbert spaces, including the spectral decomposition theorem. Applications to concepts relevant to quantum mechanics, like the evolution operator, are pointed out.
Cite
@article{arxiv.1003.1122,
title = {Finite-Dimensional Bicomplex Hilbert Spaces},
author = {Raphael Gervais Lavoie and Louis Marchildon and Dominic Rochon},
journal= {arXiv preprint arXiv:1003.1122},
year = {2011}
}
Comments
21 pages