Schrodinger's equation is usually treated as a postulate, and IMHO that's the best approach, rather than some kind of derivation based on chronologically earlier, but less general, principles and ...

We derive estimates on the magnitude of non-adiabatic interaction between a Hamiltonian partial differential equation and a high-frequency nonlinear oscillator. Assuming spatial analyticity of the ...

The dynamic laws of quantized vortex interactions in the Ginzburg-Landau-Schrödingei equation (GLSE) are analytically and numerically studied. A review of the reduced dynamic laws governing the motion ...