Raxonan
- 1
- 0
Given the half harmonic potential:
\begin{equation}V=\begin{cases}1/2\omega^2mx^2 & x > 0\\\infty & x < 0\end{cases}\end{equation}What will be the Hamiltonian of the half oscillator?I understand that for x>0 the Hamiltonian will be:
\begin{equation}H=\frac{1}{2}\omega^2mx^2+\frac{P^2}{2m}\end{equation}
But how do I find the Hamiltonian for the part when V = ∞?
\begin{equation}V=\begin{cases}1/2\omega^2mx^2 & x > 0\\\infty & x < 0\end{cases}\end{equation}What will be the Hamiltonian of the half oscillator?I understand that for x>0 the Hamiltonian will be:
\begin{equation}H=\frac{1}{2}\omega^2mx^2+\frac{P^2}{2m}\end{equation}
But how do I find the Hamiltonian for the part when V = ∞?