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V(x) = \frac{1}{2} x^2. | V(x) = \frac{1}{2} x^2. | ||

$$ | $$ | ||

- | You learn that the permissible energies take discrete values like $E_n = n + 1/2$. In an effort to understand how this can be generalised, you might try to perturb the potential that you have above so that it includes a small higher-order term, like this: | + | You learn that the permissible energies take discrete values like $E_n = (n + 1/2)$. In an effort to understand how this can be generalised, you might try to perturb the potential that it includes a small higher-order term, like this: |

$$ | $$ | ||

V(x) = \frac{1}{2} x^2 + \lambda x^4. | V(x) = \frac{1}{2} x^2 + \lambda x^4. |

Last modified: 2020/04/10 14:11