2 papers
math-ph2025
Spherical Harmonic Oscillators
Van Higgs, Doug Pickrell
A linear quantum harmonic oscillator factors into one dimensional oscillators and can be solved using creation and annihilation operators. We consider a spherical analogue. This an…
math.PR2024
A Test of a Conjecture of Cardy
Van Higgs, Doug Pickrell
In reference to Werner's measure on self-avoiding loops on Riemann surfaces, Cardy conjectured a formula for the measure of all homotopically nontrivial loops in a finite type annu…