19 citations · 27 across the 2 of their papers we have counts for
2 papers
quant-ph2020★ 8 cited
Converting translation operators into plane polar and spherical coordinates and their use in determining quantum-mechanical wavefunctions in a representation-independent fashion
Michael Rushka, Mark Esrick, Wesley N. Mathews +1
Quantum mechanics is often developed in the position representation, but this is not necessary, and one can perform calculations in a representation-independent fashion, even for w…
quant-ph2019★ 19 cited
A completely algebraic solution of the simple harmonic oscillator
M. Rushka, J. K. Freericks
We present a full algebraic derivation of the wavefunctions of the simple harmonic oscillator in coordinate and momentum space. This derivation illustrates the abstract approach to…