34 citations · 201 across the 30 of their papers we have counts for
4 papers · 1 filter
Infinite-Dimensional Bicomplex Hilbert Spaces
Raphael Gervais Lavoie, Louis Marchildon, Dominic Rochon
This paper begins the study of infinite-dimensional modules defined on bicomplex numbers. It generalizes a number of results obtained with finite-dimensional bicomplex modules. The…
Finite-Dimensional Bicomplex Hilbert Spaces
Raphael Gervais Lavoie, Louis Marchildon, Dominic Rochon
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…
Can Everett be Interpreted Without Extravaganza?
Louis Marchildon
Everett's relative states interpretation of quantum mechanics has met with problems related to probability, the preferred basis, and multiplicity. The third theme, I argue, is the…
The Bicomplex Quantum Harmonic Oscillator
Raphael Gervais Lavoie, Louis Marchildon, Dominic Rochon
The problem of the quantum harmonic oscillator is investigated in the framework of bicomplex numbers, which are pairs of complex numbers making up a commutative ring with zero divi…