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**most of the time**we solve differential quantum equation, like Schrodinger's Time Dependent Equation, using a position wave-function rather a momentum wave-function because momentum version tends to be a higher order ODE than the position version.

Is there ever a case in Quantum or Atomic physics when it is more advantageous to use the momentum wavefunction rather than the position wavefunction? In other words it there any time where the momentum representation of the differential equation is simpler than the position representation?