2 papers
math.FA2010
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…
math-ph2010
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…