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arXiv · 1510.04876

Symmetries of the Hamiltonian operator and constants of motion

G. F. Torres del Castillo·J. E. Herrera Flores
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Abstract

It is shown that, in the framework of non-relativistic quantum mechanics, any conserved Hermitian operator (which may depend explicitly on the time) is the generator of a one-parameter group of unitary symmetries of the Hamiltonian and that, conversely, any one-parameter family of unitary symmetries of the Hamiltonian is generated by a conserved Hermitian operator.

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G. F. Torres del Castillo, J. E. Herrera Flores. 2015-10-15. Symmetries of the Hamiltonian operator and constants of motion. https://arxiv.org/abs/1510.04876

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