Clark Alexander

  1. The Second Order Effect of the Quantum Weyl Algebra on a Free Particle.

    Authors: Clark Alexander
    Subjects: Quantum Algebra
    Abstract

    In this paper we revisit and extend the work done by Chaturvedu et al, as
    well as Dabrowski and Parashar. The basic premise is to take a deformed
    coordinate system and give is a concrete realization. This realization is given
    by a parameter of q = exp (it). Expanding in powers of 't' and applying a
    deformed quantum Hamiltonian to a Free Particle yields a magnetic field. To
    first order we recover a constant magnetic field. To second order we recover an
    anisotropic magnetic field with an additional term.

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