Question

relation between hamiltonian operator and laplacian operator​

Answer 1

Answer:

The Hamiltonian operator, H ^ ψ = E ψ , extracts eigenvalue E from eigenfunction ψ, in which ψ represents the state of a system and E its energy. The expression H ^ ψ = E ψ is Schrödinger's time-independent equation. In this chapter, the Hamiltonian operator will be denoted by. or by H.

Explanation:

The Laplacian operator is called an operator because it does something to the function that follows: namely, it produces or generates the sum of the three second-derivatives of the function. ... It is a general principle of Quantum Mechanics that there is an operator for every physical observable.