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Full-Text Articles in Physics
Exact Christoffel-Darboux Expansions: A New, Multidimensional, Algebraic, Eigenenergy Bounding Method, Carlos Handy
Exact Christoffel-Darboux Expansions: A New, Multidimensional, Algebraic, Eigenenergy Bounding Method, Carlos Handy
Faculty Publications
Although the Christoffel-Darboux representation (CDR) plays an important role within the theory of orthogonal polynomials, and many important bosonic and fermionic, multidimensional, Hermitian and Non-Hermitian, systems can be transformed into a moment equation representation (MER), the union of the two into an effective, algebraic, eigenenergy bounding method has been overlooked. This particular fusion of the two representations (CDR and MER), defines the Orthonormal Polynomial Projection Quantization-Bounding Method (OPPQ-BM), as developed here. We use it to analyze several one dimensional and two dimensional systems, including the quadratic Zeeman effect for strong-superstrong magnetic fields. For this problem, we match or surpass the …
Momentum Space Orthogonal Polynomial Projection Quantization, Carlos Handy, Daniel Vrinceanu, C. B. Marth, R. Gupta
Momentum Space Orthogonal Polynomial Projection Quantization, Carlos Handy, Daniel Vrinceanu, C. B. Marth, R. Gupta
Faculty Publications
No abstract provided.