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Open Quantum Systems Decoherence
Quantum Simulation
Symmetries of the Hamiltonian operator and constants of motion
arXiv
Authors: G. F. Torres del Castillo, J. E. Herrera Flores
Year
2015
Paper ID
26679
Status
Preprint
Abstract Read
~2 min
Abstract Words
54
Citations
N/A
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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- 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...
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