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4 papers
Eigenvalues of the generalized Laplacian and the G-dynamics of type I
Jack Whongius
In this paper, we consider the generalized Laplace operator equipped with the G-dynamics operator of type I, the Dirichlet and Neumann eigenvalue problems are extended to associate…
A rigorous Hermitian proof about the G-dynamics and analogy with Berry-Keating's Hamiltonian
Jack Whongius
Quantum covariant Hamiltonian system theory provides a coherent framework for modelling the complex dynamics of quantum systems. In this paper, we centrally deal with the Hermitici…
On one-dimensional G-dynamics and non-Hermitian Hamiltonian operators
Jack Whongius
Focusing on the algebraical analysis of two various kinds of one-dimensional G-dynamics and separately induced by dif…
Geometric Hamiltonian matrix on the analogy between geodesic equation and Schrödinger equation
Jack Whongius
By formally comparing the geodesic equation with the Schrödinger equation on Riemannian manifold, we come up with the geometric Hamiltonian matrix on Riemannian manifold based on t…