Answer to Question #89528 in Quantum Mechanics for Sukritha p

Question #89528
Consider a particle confined in a 1D box of length L. The energy spacing between any two consequtive energy level is propotional to
1
Expert's answer
2019-05-10T11:25:25-0400

Energy spectrum of particle in a 1D box:


En=n2π222mL2E_n = \frac{n^2 \pi^2 \hbar^2}{2mL^2}

Energy spacing:


En+1En=π222mL2(2n+1)E_{n+1} - E_n = \frac{\pi^2 \hbar^2}{2mL^2}(2n+1)

Therefore, at large n, energy spacing between any two consequtive energy level is propotional to n


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