author: R. Herrmann

abstract:

Based on the requirement of covariance, we propose a new approach for generalizing fractional calculus in multi-dimensional space. As a first application we calculate an approximation for the ground state energy of the fractional 2-dimensional harmonic oscillator using the Ritz variational principle.

reference:
Int. J. of Mod. Phys. A Vol. 40, No. 17, 2550047 (2025)