Finite-Dimensional Bicomplex Hilbert Spaces

Details Finite-Dimensional Bicomplex Hilbert Spaces Finite-Dimensional Bicomplex Hilbert Spaces

2010-03-04

arxiv.org/abs/1003.1122v4

Advances in Applied Clifford Algebras: Volume 21, Issue 3 (2011), Page 561-581

Mathematics

Functional Analysis

21 pages

Scientific paper

10.1007/s00006-010-0274-0

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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