  We present the time dynamics of twisted quantum states. We find an explicit
connection between the well-known stationary Landau state and an evolving
twisted state, even when the Hamiltonian accounts for linear energy
dissipation. Utilizing this unitary connection, we analyze nonstationary Landau
states and unveil some of their properties. The proposed transformation enables
simple evaluation of different operator mean values for the evolving twisted
state based on the solution to the classical Ermakov equation and matrix
elements calculated on the stationary Landau states. The suggested formalism
may significantly simplify analysis and become a convenient tool for further
theoretical development on the dissipative evolution of the twisted quantum
wave packet.
