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        "quote": "In the following chapters we’ll see many examples of this phenomenon. A fundamental example that we will study in detail is that of action by <u id=\"concept-1-time-translation\" class=\"concept-term\" data-concept-id=\"concept-1-time-translation\" data-concept-role=\"discussion\" data-concept-identity=\"urn:uuid:e4e5b10c-e0be-4e54-aaa6-8ba7699dc29d\" data-concept-route=\"/concept-identities#concept-e4e5b10c-e0be-4e54-aaa6-8ba7699dc29d\">translation in time</u>. Here the group is $G = \\mathbf { R }$ (with the additive group law) and we get a unitary representation of $\\mathbf{R}$ on the space of states $\\mathcal{H}$. The corresponding self-adjoint operator is the Hamiltonian operator $H$ (divided by $\\hbar$) and the representation is given by",
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