Correction to: Scientific Reports https://doi.org/10.1038/s41598-020-79309-8, published online 17 December 2020


The original version of this Article contained a repeated error, where the Blackboard Bold 1 symbol did not display correctly in Equations 9, 17, 25, 26, and 33, and in the Results section.


In addition, in the Introduction,


“Note that if we define \(\rho^2=(X - \bar{X})^2 + (Y - \bar{X})^2\), then \(\pi \rho ^2=\frac{2\pi }{m\omega _c^2}H\) can be interpreted as a fuzzy surface spanned by the transversal orbits.”


now reads:


“Note that if we define \(\rho^2=(X - \bar{X})^2 + (Y - \bar{Y})^2\), then \(\pi \rho ^2=\frac{2\pi }{m\omega _c^2}H\) can be interpreted as a fuzzy surface spanned by the transversal orbits.”


Finally, in the Results section, under the subheading ‘Polyharmonic fields: exact operations’,


“However any other coordinate of the fuzzy centre could suffer a drift \(\widetilde{U}^\dagger(T)\bar{X}_{k}\widetilde{U}(T) = \bar{X}_k - iTF[\bar{X}_j, \hat{X}_k]\), of course \(j\ne k\).”


now reads:


“However any other coordinate of the fuzzy centre could suffer a drift \(\widetilde{U}^\dagger(T)\bar{X}_{k}\widetilde{U}(T) = \bar{X}_k - iTF[\bar{X}_j, \bar{X}_k]\), of course \(j \neq k\).”


The original Article has been corrected.