Sentence 1: The kinetic energy of a particle is the sum of potential energy and total energy , this sum is also the frequent expression for the Hamilton operator in classical mechanics :
Sentence 2: The kinetic energy of a particle is the sum of potential energy and total energy , this sum is also the frequent expression for the Hamiltonian in classical mechanics :

Do these two sentences convey the same information?

Pick from:
(a). no.
(b). yes.
(b).