we assume that each valence quark in a nucleon is in a phenomenological modified harmonic oscillator potential of the form: ( l+yo) (ar +br+cr +dr ), where a, b, c and d are constants and ? is one of the dirac matrices. then by making use of a suitable ansatz, the dirac equation has a very simple solution which is exact. we then have calculated the static properties of the nucleon in the ground...

We show that the computation of the Popov form of Ore polynomial matrices can be formulated as a problem of computing the left nullspace of such matrices. While this technique is already known for polynomial matrices, the extension to Ore polynomial matrices is not immediate because multiplication of the matrix entries is not commutative. A number of results for polynomial matrices are extended...

We propose a framework for modeling and solving low-rank optimization problems to certifiable optimality. introduce symmetric projection matrices that satisfy $Y^2=Y$, the matrix analog of binary variables $z^2=z$, model rank constraints. By leveraging regularization strong duality, we prove this paradigm yields tractable convex over non-convex set orthogonal matrices. Furthermore, design outer...

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