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 to
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