427(2): Comparison of HJ and Schroedinger Equations

Many thanks for checking this note. P is derived from the radial wavefunction R in Eq. (11). Eq. (25) is simply the usual way that the Schroedinger equation is written, and after psi = R sub nl Y sub lm, expands out as you know into the radial R and spherical harmonic Y components of the complete wavefunction psi. This procedure results in Eq. (12), where the angular part enters. Eq. (26) is simply the Hamilton Jacobi equation from the hamiltonian (25), which is the quantized version of the hamiltonian (1).


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