Author: Marchildon L. Rochon D.
Publisher: NRC Research Press
ISSN: 1208-6045
Source: Canadian Journal of Physics, Vol.91, Iss.12, 2013-01, pp. : 1093-1100
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Abstract
Generalizations of the complex number system underlying the mathematical formulation of quantum mechanics have been known for some time, but the use of the commutative ring of bicomplex numbers for that purpose is relatively new. This paper provides an analytical solution of the quantum Coulomb potential problem formulated in terms of bicomplex numbers. We define the problem by introducing a bicomplex hamiltonian operator and extending the canonical commutation relations to the form
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