7 citations · 17 across the 13 of their papers we have counts for
13 papers
From the Harmonic Oscillator to Time-Frequency Analysis of Chirp Signals
Donald J. Kouri, Caleb Broodo, Bernhard G. Bodmann +1
This paper presents a novel approach to understanding the role of harmonic dynamics and gaining a deeper appreciation for its impact within and outside of quantum mechanics. This i…
Automatic picking of P and S arrivals using a minimal uncertainty wavelet approach
Maria A. Krasnova, Donald J. Kouri, Evgeny Chesnokov
The so-called "minimum uncertainty" or mu-wavelet approach has been shown to be very effective. Prior work has shown that using special algorithms based on a mu-wavelet decompositi…
Point Transformations and the Relationships Among Anomalous Diffusion, Normal Diffusion and the Central Limit Theorem
Donald J. Kouri, Nikhil N. Pandya, Cameron L. Williams +2
We present new connections among anomalous diffusion (AD), normal diffusion (ND) and the Central Limit Theorem. This is done by defining a point transformation to a new position va…
Generalized Fourier transform method for nonlinear anomalous diffusion equation
Jie Yao, Cameron L. Williams, Fazle Hussain +1
The solution of a nonlinear diffusion equation is numerically investigated using the generalized Fourier transform method. This equation includes fractal dimensions and power-law d…
Coupled Supersymmetry and Ladder Structures Beyond the Harmonic Oscillator
Cameron L. Williams, Nikhil N. Pandya, Bernhard G. Bodmann +1
The development of supersymmetric (SUSY) quantum mechanics has shown that some of the insights based on the algebraic properties of ladder operators related to the quantum mechanic…
Canonical Quantization, Quasi-Hermiticity, Observables and the Construction of Complete Basis Sets
Donald J. Kouri, Cameron L. Williams, Nikhil Pandyaq
We consider the problem of designing a variety of "system guided" basis sets for quantum mechanical anharmonic oscillators. Using ideas based on supersymmetric quantum mechanics, w…