The Schrodinder equation leads to the classical Hamilton-Jacobi(adsbygoogle = window.adsbygoogle || []).push({});

equation with an additional term called "quantum potential". This is

the start of the Bohmian interpretation of quantum mechanics. The

derivation is straigthforward by assuming psi = R exp(iS/hb). The

vanishing of the additional term for the classical limit hb->0

illustrates nicely the link between QM and CM.

I would like to know if a similar find could be done for a system of

interacting spins (or qbits !). I take interacting spins as an

example of 'discrete system' (no space coordinate). Is there also an

Hamilton-Jacobi to be derived ? If yes, is there also a classical

limit to be seen ?

I would be interrested in ideas, suggestions and eventually

references related to this topic.

**Physics Forums | Science Articles, Homework Help, Discussion**

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Hamilton-Jacobi equation for interacting spins ?

**Physics Forums | Science Articles, Homework Help, Discussion**