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Indicwiki https://www.vigyanwiki.in/index.php?title=Template:Integrable_systems&diff=176650&oldid=prev 2023-05-03T08:33:19Z

<p>Created page with &quot;{{Navbox |name = Integrable systems |state = &lt;includeonly&gt;collapsed&lt;/includeonly&gt; |title = <a href="/index.php?title=Integrable_system&amp;action=edit&amp;redlink=1" class="new" title="Integrable system (page does not exist)">Integrable systems</a> |listclass = hlist |basestyle = text-align:cente...&quot;</p> <p><b>New page</b></p><div>{{Navbox<br /> |name = Integrable systems<br /> |state = &lt;includeonly&gt;collapsed&lt;/includeonly&gt;<br /> |title = [[Integrable system]]s<br /> |listclass = hlist<br /> |basestyle = text-align:center;<br /> <br /> |group1 = Geometric integrability<br /> |list1 =<br /> * [[Frobenius integrability]]<br /> ** [[Foliation]]<br /> * [[Liouville–Arnold theorem | Liouville integrability]]<br /> <br /> |group2 = In classical mechanics<br /> |list2 = <br /> {{Navbox|subgroup<br /> <br /> |group1 = Examples<br /> |list1 =<br /> * [[Harmonic oscillator]]<br /> * [[Central force|Central force systems]]<br /> ** [[Kepler problem|Kepler system]]<br /> ** [[Two body problem]]<br /> * [[Lagrange, Euler and Kovalevskaya tops|Integrable tops]]<br /> ** [[Euler top|Euler]]<br /> ** [[Kovalevskaya top|Kovalevskaya]]<br /> ** [[Lagrange top|Lagrange]]<br /> * [[Garnier integrable system]]<br /> * [[Hitchin system]]<br /> <br /> |group2 = Theory<br /> |list2 =<br /> * [[Liouville–Arnold theorem]]<br /> * [[Action-angle variables]]<br /> * [[Superintegrable Hamiltonian system]]<br /> }}<br /> <br /> |group3 = In quantum mechanics<br /> |list3 =<br /> * [[Quantum harmonic oscillator]]<br /> * [[Hydrogen atom]]<br /> * [[Pöschl–Teller potential]]<br /> <br /> |group4 = Integrable PDEs/Classical integrable field theories<br /> |list4 = <br /> {{Navbox|subgroup<br /> <br /> |group1 = Examples<br /> |list1 =<br /> * [[KdV equation]]<br /> * [[Sine-Gordon equation]]<br /> * [[Nonlinear Schrödinger equation]]<br /> * [[Gross–Neveu model]]<br /> * [[Thirring model]]<br /> <br /> |group2 = Theory<br /> |list2 =<br /> * [[Bäcklund transformation]]<br /> * [[Lax pairs]]<br /> * Infinitely many [[integral of motion|integrals of motion]]<br /> * [[Soliton|Soliton solutions]]<br /> ** [[Topological soliton]]<br /> * [[Inverse scattering transform]]<br /> <br /> |group3 = From ASDYM<br /> |list3 =<br /> * [[Yang–Mills equations#Anti-self-duality equations|Anti-self-dual Yang–Mills equations]]<br /> * [[Twistor correspondence]]<br /> }}<br /> <br /> |group5 = Integrable Quantum Field theories<br /> |list5 =<br /> * [[Sine-Gordon equation#Quantum version | Quantum Sine-Gordon]]<br /> * [[Quantum KdV]]<br /> * [[Liouville field theory|Quantum Liouville]]<br /> <br /> |group6 = Exactly solvable statistical [[lattice models]]<br /> |list6 =<br /> * [[Ising model]] in one- and two-dimensions<br /> * [[Ice-type model|Square ice model]]<br /> * [[Eight-vertex model]]<br /> <br /> |group7 = Exactly solvable quantum spin chains<br /> |list7 =<br /> {{Navbox|subgroup<br /> <br /> |group1 = Examples<br /> |list1 =<br /> * [[Quantum Heisenberg model]]<br /> * [[Gaudin model]]<br /> <br /> |group2 = Theory<br /> |list2 =<br /> * Algebraic [[Bethe ansatz]]<br /> * [[Quantum inverse scattering method]]<br /> * [[Yang–Baxter equation]]<br /> }}<br /> <br /> |group8 = Contributors<br /> |list8 =<br /> <br /> {{Navbox|subgroup<br /> <br /> |group1 = Classical mechanics and geometry<br /> |list1 =<br /> * [[Vladimir Arnold]]<br /> * [[Ferdinand Georg Frobenius]]<br /> * [[Joseph Liouville]]<br /> * [[Nigel Hitchin]]<br /> <br /> |group2 = PDEs<br /> |list2 =<br /> * [[Martin David Kruskal]]<br /> * [[Clifford S. Gardner]]<br /> * [[John M. Greene]]<br /> * [[Robert Miura]]<br /> <br /> |group3 = IQFTs<br /> |list3 =<br /> * [[Alexander Zamolodchikov]]<br /> * [[Alexei Zamolodchikov]]<br /> <br /> |group4 = Classical and quantum statistical lattices<br /> |list4 =<br /> * [[Rodney Baxter]]<br /> * [[Ludvig Faddeev]]<br /> * [[Elliott H. Lieb]]<br /> * [[Yang Chen-Ning]]<br /> }}<br /> }}&lt;noinclude&gt;<br /> [[Category:Physics navigational boxes]]<br /> &lt;/noinclude&gt;</div>

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