5 citations · 5 across the 4 of their papers we have counts for
4 papers
The Dirac Delta as a Singular Potential for the 2D Schrodinger Equation
Michael Maroun
In the framework of distributionally generalized quantum theory, the object is defined as a distribution. The mathematical significance is a mild generalization for the theory…
The Exact Point Spectrum and Eigenvector of the Unique Continuous L Bound State Solution to the Dirac Delta Schrodinger Potential in Two Dimensions
Michael Maroun
Analyzing the point spectrum, i.e. bound state energy eigenvalue, of the Dirac delta function in two and three dimensions is notoriously difficult without recourse to regularizatio…
Singular Value Decomposition and Entropy Dimension of Fractals
Xiaojing Weng, Altai Perry, Michael Maroun +1
We analyze the singular value decomposition (SVD) and SVD entropy of Cantor fractals produced by the Kronecker product. Our primary results show that SVD entropy is a measure of im…
The Energy Eigenvalue for the Singular Wave Function of the Three Dimensional Dirac Delta Schrodinger Potential via Distributionally Generalized Quantum Mechanics
Michael Maroun
Unlike the situation for the 1d Dirac delta derivative Schrodinger pseudo potential (SPP) and the 2d Dirac delta SPP, where the indeterminacy originates from a lack of scale in the…