In classical physics, non-inertial frames necessitate adjustments to Newton's laws due to acceleration and rotation, yet in general relativity, Einstein successfully incorporates such frames. Why does quantum mechanics typically avoid or neglect non-inertial frames, and how does it rely on inertial reference frames? Could this approach potentially impact its accuracy?
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Inertial forces are completely described, in Hamiltonian mechanics, in terms of an electric-like potential plus a magnetic-like vector potential.
The Hamiltonian of a free particle in a non-inertial reference frame has the same structure of the Hamiltonian of a charged particle in a given electromagnetic field.
The quantization procedure is automatic then.
Valter Moretti
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