Schrödinger and the interpretation of quantum mechanics

Bernulf Kanitscheider

Slobodan Perović

Nima Moshayedi

Z. Marić

Abstract Following Schrödinger a stochastic interpretation of quantum mechanics is given based on the introduction of an intermediate probability in diffusion processes. The Schrödinger equation is derived following Nelson's approach and following a variational approach. Some problems of the quantum theory of measurement are discussed.

Daniel R. Bes

Timothy C. Wallstrom

By differentiating the Schr\"odinger equation and separating the real amd imaginary parts, one obtains the Madelung hydrodynamic equations, which have inspired numerous classical interpretations of quantum mechanics. Such interpretations frequently assume that these equations are equivalent to the Schr\"odinger equation, and thus provide an alternative basis for quantum mechanics. This paper proves that this is incorrect: to recover the Schr\"odinger equation, one must add by hand a quantization condition, as in the old quantum theory. The implications for various alternative interpretations of quantum mechanics are discussed.