For 10 points, identify this operator which gives the total energy of a system.
Noting that this object commutes with the translation operator in a periodic system leads to Bloch's theorem, and this object is the infinitesimal generator of time translations. Degeneracies of a system occur when some unitary operator commutes with this one. The adiabatic theorem applies when a given eigenvalue differs from the rest of this operator's spectrum. This operator of a wavefunction is equal to I times h bar times the time derivative of the wavefunction according to the time-dependent Schrodinger equation, and since this operator is Hermitian its eigenvalues are always real. For 10 points, identify this operator which gives the total energy of a system.
Noting that this object commutes with the translation operator in a periodic system leads to Bloch's theorem, and this object is the infinitesimal generator of time translations.
Hamiltonian