7 citations · 17 across the 13 of their papers we have counts for
5 papers · 1 filter
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…
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…
Harmonic Oscillators, Heisenberg's Uncertainty Principle and Simultaneous Measurement Precision for Position and Momentum
Donald J. Kouri
At the recent QSCP XIX, the author claimed a procedure of using a scaled Fourier transform (the scaling being determined by the detailed interaction and particle mass for a harmoni…
Supersymmetric Quantum Mechanics For Atomic Electronic Systems
Thomas Markovich, Mason Biamonte, Donald J Kouri
We employ our new approach to non-relativistic supersymmetric quantum mechanics (SUSY-QM), (J. Phys. Chem. A 114, 8202(2010)) for any number of dimensions and distinguishable parti…
Quantum dynamics and super-symmetric quantum mechanics
Eric R. Bittner, Donald J. Kouri
In my talk I will present an overview of our recent work involving the use of supersymmetric quantum mechanics (SUSY-QM). I begin by discussing the mathematical underpinnings of SU…