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 :
Question: Do Sentence 1 and Sentence 2 express the same meaning? Yes or No?