On the position representation of mechanical power, force and torque operators
Abstract
Quantizing the transfer of energy and momentum between interacting particles, we obtain a quantum impulse equation and relations that the corresponding mechanical power, force and torque satisfy. In addition to the energyfrequency and momentumwavelength relations, we introduce the powerfrequency and forcewavelength analogs, respectively. Further, we obtain an operator representation for the mechanical power and impact force in the position space and discuss their correspondence with the relevant momentum operator. The position representation of the torque operator and its relation to the orbital angular momentum operator is also considered. The results are grounded by the presence of a constant that appears as fundamental as the Planck's constant to all obtained relations.
 Publication:

arXiv eprints
 Pub Date:
 November 2019
 DOI:
 10.48550/arXiv.1911.07044
 arXiv:
 arXiv:1911.07044
 Bibcode:
 2019arXiv191107044G
 Keywords:

 Quantum Physics
 EPrint:
 J. Phys.: Conf. Ser. 1762, 012021 (2021)