- #1
lalbatros
- 1,256
- 2
The Schrodinder equation leads to the classical Hamilton-Jacobi
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.
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.