Dominic Rochon

Bicomplex Quantum Mechanics: I. The Generalized Schrödinger Equation

Abstract.We introduce the set of bicomplex numbers

Normal Families of Bicomplex Meromorphic Functions

\mathbb{T}

On a relation of bicomplex pseudoanalytic function theory to the complexified stationary Schrödinger equation

which is a commutative ring with zero divisors defined by

The Bicomplex Quantum Harmonic Oscillator

\mathbb{T} = \{ \omega _0 + \omega _1 {\mathbf{i}}_{\mathbf{1}} + \omega _2 {\mathbf{i}}_{\mathbf{2}} + \omega _3 {\mathbf{j}}|\omega _0 ,\omega _1 ,\omega _2 ,\omega _3 \in \mathbb{R}\}

TRICOMPLEX DYNAMICAL SYSTEMS GENERATED BY POLYNOMIALS OF ODD DEGREE

where