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arXiv · 1003.1122

Finite-Dimensional Bicomplex Hilbert Spaces

Raphael Gervais Lavoie·Louis Marchildon·Dominic Rochon
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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.

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BibTeXRIS

Raphael Gervais Lavoie, Louis Marchildon, Dominic Rochon. 2010-03-04. Finite-Dimensional Bicomplex Hilbert Spaces. https://doi.org/10.1007/s00006-010-0274-0

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