WKB approximation: Difference between revisions

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\end{cases}</math>
 
The wavefunction solutions of the above can be solved byusing the WKB method by considering only odd parity solutions of the alternative potential <math>V(x) = mg|x|</math>. The classical turning points are identified <math display="inline">x_1 = - {E \over mg} </math> and <math display="inline">x_2 = {E \over mg} </math>. Thus applying the quantization condition obtained in WKB:
 
<math display="block">\int_{x_1}^{x_2} \sqrt{2m \left( E-V(x)\right)}\,dx = (n_{\text{odd}}+1/2)\pi \hbar</math>