The Hermite polynomail for linear harmonic oscillator in 2nd excited state is
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- At what position is a particle in the second lowest energy state of a rigid box of length L most likely to be observed?For a "particle in a box" of length, L, draw the first three wave functions and write down the wavelength of each. Confirm that the wavelengths for the nth level is given by 2LExplain the energy level splitting of the Zeeman effect.
- Electron is confined in a 1D infinite potential well: U(x) = 0 at -a a. Using TIPT, calculate how the energy of the ground state is changed by a weak disturbance V = -Fr caused by a uniform electric field F.Calculate the probability that for the 1s state the electron lies between r and r+dra 4. 00, -Vo, V(z) = 16a 0, Use the WKB approximation to determine the minimum value that V must have in order for this potential to allow for a bound state.