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Results tagged with integrable-systems
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user 146615
Liouville integrability means that there exists a regular foliation of the phase space by invariant manifolds such that the Hamiltonian vector fields associated to the invariants of the foliation span the tangent distribution: there exists a maximal set of Poisson-commuting invariants in phase space. May be used more broadly for systems possessing simple analytic solutions.
1
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What is the relationship between the integrability of a quantum many-body system and thermal...
First of all, I only discuss closed quantum system here.
Usually integrable systems do not contain disorders (but 1D Kondo model has impurity while being integrable), hence generally not many-body lo …
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3
votes
Accepted
Link between integrability and soliton solutions
a) Usually when a physicist refers a differential equation is integrable (classical integrability), it means the nonlinear differential equation can be mapped into an auxiliary linear problem (inverse …
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1
vote
Integrability of generalized Richardson-Hubbard model
Of course there is no a priori way to determine whether the hamiltonian that you proposed is integrable or not.
However, the model that you wrote down looks like multi-component Yang-Gaudin Fermi gas …
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3
votes
Integrability of a non-integrable quantum spin model at critical point
If the non-integrable quantum spin chain at the critical points can be described as a conformal field theory (not always the case), we can say that the model is "integrable''. Because CFT can be seen …
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5
votes
Accepted
How can I say whether a Hamiltonian is integrable or not?
I don't think that level spacing is "enough" to determine a system is "integrable" or not. (of course it depends on how one defines integrability.) The level spacing idea is called Berry-Tabor conject …
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