1. Someone enlighten me by dialing 0 on the Hamiltonian operator . 2. Using a suitable Hamiltonian operator corresponding to the system. 3. Because the crystal has translational symmetry, this operator commutes with the Hamiltonian operator . 4. Manipulating, we have the " Trace formula " for the exponential of the Hamiltonian operator satisfying 5. The Hamiltonian operators in the Schr�dinger picture are one approach to forming the differential equations for. 6. Where " i " times the time derivative is the Hamiltonian operator in quantum mechanics. 7. The Fock operator is an effective one-electron Hamiltonian operator being the sum of two terms. 8. One of the Feynman's path integral formulation uses a Lagrangian rather than a Hamiltonian operator . 9. And each time a Hamiltonian operator acts it does so by adding a new edge at the vertex. 10. The eigenfunctions of the Hamiltonian operator are stationary states of the quantum mechanical system, each with a corresponding energy.