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Quantizing the transfer of energy and momentum between interacting particles,we obtain a quantum impulse equation and relations that the correspondingmechanical power, force and torque satisfy. In addition to the energy-frequencyand momentum-wavelength relations, we introduce the power-frequency andforce-wavelength analogs, respectively. Further, we obtain an operatorrepresentation for the mechanical power and impact force in the position spaceand discuss their correspondence with the relevant momentum operator. Theposition representation of the torque operator and its relation to the orbitalangular momentum operator is also considered. The results are grounded by thepresence of a constant that appears as fundamental as the Planck's constant toall obtained relations.

On the position representation of mechanical power, force and torque operators