English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

In the paper with the above-noted title, T. C. Wallstrom claims that thedescription of the particle's motion as a certain "conservative" diffusion isnot equivalent to quantum mechanics in spite of the fact that the Madelung"hydrodynamic" equations, which provide the description of such a diffusion,can be converted to the Schroedinger equation. He pointed out that such astochastic theory can be regarded as equivalent to conventional quantummechanics only if they can derive from it not just the Madelung equations butalso the condition that the circulation of the "probability fluid" is alwaysquantized, which is equivalent the condition for the single-valuedness of thewave function. We, however, show that the single-valuedness of the wavefunction required in quantum mechanics, is not an auxiliary condition but aproperty of all local solutions of the Schrodinger equation. Based on theone-to-one correspondence between local solutions of the Schroedinger and theMadelung equations this means that the quantization of the circulation of the"probability fluid" is a property of all solutions of the Madelung equations.

Comment on "Inequivalence between the Schrodinger equation and the Madelung hydrodynamic equations"