In quantum mechanics one can convert the wave function of one variable into the wave function of its conjugate pair (e.g., momentum and coordinate) using a Fourier transform.
Now consider the classical case. Suppose there is a particle in a potential well with insufficient energy to escape...
Thank you, JavairR for your prompt response. The method you outlined is excellent and very clear. It results in the minimum energy state for the LHO which is, hbar omega/2.
However, my problem is different and since the last post, I was able to arrive at the answer which is think is...
Homework Statement
Calculate the quantized energy levels of a linear harmonic oscillator of angular frequency $\omega$ in the old quantum theory.
Homework Equations
\[
\oint p_i dq_i = n h
\]
The Attempt at a Solution
This is supposed to be a simple "exercise" (the first in...