A framework with two postulates defines physically meaningful observables in many-body quantum mechanics as symmetry- and Galilean-boost-invariant quantities, implying they must depend on multiple non-invariant degrees of freedom.
Dreizler and Eberhard K
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From Symmetry and Reduction to Physically Meaningful Relational Observables in Many-Body Quantum Theory
A framework with two postulates defines physically meaningful observables in many-body quantum mechanics as symmetry- and Galilean-boost-invariant quantities, implying they must depend on multiple non-invariant degrees of freedom.