Amplitude, phase, and complex analyticity

D. Cabrera, P. Fernandez de Cordoba, J. M. Isidro

Expressing the Schroedinger Lagrangian $\mathcal{L}$ in terms of the quantum wavefunction $\psi =\exp (S+\mathrm{i}I)$ yields the conserved Noether current $\mathbf{J}=\exp (2S)\nabla I$. When $ψ…