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 classical first-order Hamilton-Jacobi equation $u^\epsilon _t+H(Du^\epsilon ,x/\epsilon )=0$ has a unique viscosity solution satisfying an initial condition uε ...