The Momentum Operator is a fundamental concept in quantum mechanics, representing the momentum of a particle. In mathematical terms, it is often denoted as \hatp and is defined as -i\hbar \fracddx in one dimension, where \hbar is the reduced Planck's constant. This operator acts on wave functions to extract information about the momentum of quantum particles. When applied to a wave function, the momentum operator helps determine the probability distribution of a particle's momentum. This is crucial for understanding the behavior of particles at the quantum level, as described by the principles of quantum mechanics and the Heisenberg uncertainty principle.