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In the QM Hamiltonian, I keep seeing h-bar/2m instead of p/2m for the kinetic energy term. H-bar is not equivalent to momentum. What am I missing here?
The discussion centers on the confusion regarding the representation of the kinetic energy operator in quantum mechanics, specifically the use of h-bar/2m instead of p/2m. Participants clarified that h-bar (ħ) represents the reduced Planck constant, which is essential in quantum mechanics, while p denotes momentum. The kinetic energy term in the Hamiltonian is correctly expressed as ħ²/(2m) in the context of quantum mechanics, aligning with established formulations.
PREREQUISITESStudents and professionals in physics, particularly those studying quantum mechanics, as well as educators seeking to clarify concepts related to the Hamiltonian and kinetic energy in quantum systems.