We point out the connection between the problem of formulating quantum mechanics in phase space and projecting the motion of a quantum-mechanical particle onto a particular Landau level. In particular, we show that lowest Landau-level wave functions, which are widely used in studies of quantum Hall effect, are actually phase-space wave functions in this context. We demonstrate the usefulness of this understanding by analyzing some simple problems, and propose other utilities.

• Received 27 April 2020
• Accepted 8 July 2020

DOI:https://doi.org/10.1103/PhysRevA.102.012222