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Explain the Hamiltonian operator

Explain the Hamiltonian operator

Grade:

1 Answers

Sudheesh Singanamalla
114 Points
10 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

 

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