- #1
weezy
- 92
- 5
From wikipedia I understand that the old quantum condition $$\oint_{H(p,q)=E} p_i dq_i = n_i h $$ states that not all kinds of motion are permitted in a system. My question is why is this called the old quantum condition and what is quantization of motion? Does this mean that a particle jumps from velocity ##v_1 \rightarrow v_2## in a certain step ? I am mostly familiar with Schrodinger's equation which can be solved to see that Energy levels of a particle in a box are quantized. But does energy quantization imply momentum quantization as well? I understand the motivation of this principle comes from visualizing a particle as a wave but most experienced physicists say that is an outdated concept. If that is the case then what's the newer approach or the new quantum condition?