Q#10. (a) Show that any component of the momentum operator of a particle is compatible with its kinetic energy operator. (b) Show that the momentum operator is compatible with the Hamiltonian operator only if the potential operator is constant in space coordinates.

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Q#10. (a) Show that any component of the momentum operator of a particle is compatible with
its kinetic energy operator.
(b) Show that the momentum operator is compatible with the Hamiltonian operator only if
the potential operator is constant in space coordinates.
Transcribed Image Text:Q#10. (a) Show that any component of the momentum operator of a particle is compatible with its kinetic energy operator. (b) Show that the momentum operator is compatible with the Hamiltonian operator only if the potential operator is constant in space coordinates.
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