SCIENCE SPIN-OFFS

[dockzef]

In conclusion, we shown that the Laughlin wave
function is the exact solution to the Schr¨odinger
like equation for the harmonic oscillator potential.
We have also shown that Harmonic oscillator can
be written as the Laughlin wave function for simple
poles. In the process we identify the quantum mo
mentum function of quantum Hamilton Jacobi for
malism with the Berry’s connection. This allowed
us to formulate the problem of quantization in terms
of topology, as the quantum numbers are topologi
cal invariants arise due to singularities in the quan
tum momentum function. The quantization is arising due to continuously connecting the topologically
inequivalent Hamiltonians in the Hilbert space.


https://arxiv.org/pdf/1709.02075.pdf