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math.QA2009
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…
math.QA2008
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…