hamiltonian operator

[Hansika_Sakshi_2k]

I am confused as to what exactly the hamiltonian operator means in the Shrodinger equation. Does it vary?

[TakieraDarrow_2J]

Hi!! The Hamiltonian operator in this equation represents the total energy operator of the system, which includes both kinetic energy and potential energy of the particles in the system. The kinetic energy operator can be represented by another equation which involves Planck's constant while the potential energy operator depends on the specific physical system and the interaction forces involved, so with that you could say that it varies on a per system or interaction basis.

[irisgu]

In simple terms, the Hamiltonian operator represents the conversion factor from the initial to the final state.