475 citations · 587 across the 10 of their papers we have counts for
10 papers
Two-dimensional Hydrogen-like Atom in a Constant Magnetic Field
M. G. Naber
The two-dimensional hydrogen-like atom in a constant magnetic field is considered. It is found that this is actually two separate problems. One for which the magnetic field causes…
Generalized Bagley-Torvik Equation and Fractional Oscillators
M. G. Naber, L. Lymburner
In this paper the Bagley-Torvik Equation is considered with the order of the damping term allowed to range between one and two. The solution is found to be representable as a convo…
The Zeta Function for the Triangular Potential
M. G. Naber
The zeta functions for the Schrödinger equation with a triangular potential are investigated. Values of the zeta functions are computed using both the Weierstrass factorization the…
The Bessel zeta function
M. G. Naber, B. M. Bruck, S. E. Costello
Two representations of the Bessel zeta function are investigated. An incomplete representation is constructed using contour integration and an integral representation due to Hawkin…
Linear Fractionally Damped Oscillator
Mark Naber
In this paper the linearly damped oscillator equation is considered with the damping term generalized to a Caputo fractional derivative. The order of the derivative being considere…
Time fractional Schrodinger equation
Mark Naber
The Schrodinger equation is considered with the first order time derivative changed to a Caputo fractional derivative, the time fractional Schrodinger equation. The resulting Hamil…