Noether’s theorem and quantum mechanics

In this methological paper, we show that, by considering the Schr¨odinger and Pauli equations for the wave function of a particle as the Lagrange equations of classical field theory, it is possible, on the basis of Noether’s theorem, to obtain Noether charges (constants of motion) in the form of quantum-mechanical expectation values of the observables of thep article, to which are associated self-adjoint operators of energy, momentum and angular momentum, as well as the law of conservation of probability.