Guest

Explain the Hamiltonian operator

Explain the Hamiltonian operator

Grade:

1 Answers

Sudheesh Singanamalla
114 Points
11 years ago

In quantum mechanics , hamiltonian operator i.e H denotes the total energy of the system.

H operator along with the schrodinger wave equation gets the energy function with respect to time.

\begin{displaymath}\bgroup\color{black} H={p^2\over 2m} + V(x) \egroup\end{displaymath}

\bgroup\color{black}$\displaystyle H^{(op)}=-{\hbar^2\over 2m}{\partial^2\over \partial x^2}+V(x)$\egroup

Since the potential energy just depends on 'x', its easy to use. Angular momentum operators will later be simply computed from position and momentum operators

 

Hope thats what you wanted !

Please approve !

 


Think You Can Provide A Better Answer ?