9 citations · 21 across the 16 of their papers we have counts for
5 papers · 1 filter
The First Order Effect of the Quantum Weyl Algebra on a Harmonic Oscillator
Clark Alexander
We examine a concrete realization of the quantum Weyl algebra and expand it to first order. From here we apply the resulting algebra to a quantum harmonic oscillator in its ground…
The Second Order Effect of the Quantum Weyl Algebra on a Free Particle
Clark Alexander
In this paper we revisit and extend the work done by Chaturvedu et al, as well as Dabrowski and Parashar. The basic premise is to take a deformed coordinate system and give is a co…
Explicit Calculations for Anharmonic Oscillators Using Lie Algebras
Clark Alexander
We construct Lie algebras arising from commutators of the harmonic Hamiltonian and the perturbed anharmonic Hamiltonian. From there we form a very specific element of the associate…
The Haar State on SU_q(N)
Clark Alexander
Using matrix corepresentations on SL_q(N) and SU_q(N) we derive a Haar state on SU_q(N) which is nearly identical to that on SU_q(2). This allows us to create an orthonormal basis…
Matrix Corepresentations for SL_q(N) and SU_q(N)
Clark Alexander
We give an algorithm for computing matrix corepresentations for special linear and special unitary quantum groups using a combinatorial re-indexing of basis elements.