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==Solvable special cases== ...ught of as a generalization of the [[Ising model]]. Other exactly solvable models corresponding to particular cases of the <math>Z_N</math> model include the ...

A [[linear differential operator]] ''L'' is called '''quasi-exactly-solvable''' ('''QES''') if it has a [[finite-dimensional]] [[invariant subspace]] of ...has the form of the [[Schrödinger operator]], it is called a Quasi-Exactly-Solvable Schrödinger operator. ...

{{Short description|Solvable 1+1 dimensional quantum field theory}} is an exactly solvable quantum field theory, describing the interaction of a [[fermion field#Dirac ...

[[Category:Exactly solvable models]] ...

[[Category:Exactly solvable models]] ...

...ess-date=19 July 2023}}</ref> It is an [[exactly solvable]] model, and was exactly solved by Shastry.<ref name=sha88/> [[Category:Quantum lattice models]] ...

|access-date=4 October 2022}}</ref> This models a one-dimensional lattice of fixed particles with spin 1/2. A simple versio ...e ansatz is used generally to refer to many ansatzes used to solve exactly solvable problems in spin chain theory such as for the other variations of the Heise ...

{{Short description|Solvable physics model}} ...ole physics]], the '''Sachdev–Ye–Kitaev''' ('''SYK''') model is an exactly solvable model initially proposed by [[Subir Sachdev]] and Jinwu Ye,<ref>{{Cite jour ...

* with Tetsuji Miwa: ''Algebraic analysis of solvable lattice models''. [[American Mathematical Society]] 1993, {{ISBN|0-8218-0320-4}} ...

...t2=Gary |eprint=1811.11538 |title=A Tutorial on Formulating and Using QUBO Models |class= cs.DS|date=2019 }}</ref><ref>{{cite journal |last1=Lucas |first1=An ...s|clustering]] and [[probabilistic graphical model|probabilistic graphical models]].<ref>{{cite journal |last1=Mücke |first1=Sascha |last2=Piatkowski |first2 ...

...equations which model [[continuous media]] (for example, the KdV equation models shallow water waves), the QISM is used to solve [[many-body problem|many-bo #the [[Bethe ansatz]], a method of solving integrable quantum models in one space and one time dimension.{{Citation needed|date=September 2024}} ...

...t provides a powerful method of studying [[Lattice model (physics)|lattice models]]. Calculations with corner transfer matrices led Baxter to the exact solut Another important quantity for lattice models is the partition function per site, evaluated in the [[thermodynamic limit] ...

...equation]], it is integrable, in the sense that certain quantities can be exactly evaluated. |title=Commuting transfer matrices in the chiral Potts models: Solutions of star-triangle equations with genus>1 ...

...el |date=2007-09-01 |title=Observables in the Turaev-Viro and Crane-Yetter models |journal=Journal of Mathematical Physics |language=en |volume=48 |issue=9 | ...ry fusion category <math>\mathcal{C}</math> and has as output an [[exactly solvable]] lattice model for [[topological order]] whose [[Anyon|anyons]] are descri ...

...le=Critical behaviour of SU(n) quantum chains and topological non-linear σ-models |url=https://doi.org/10.1016/0550-3213(88)90117-4 |journal=Nuclear Physics ...ch transforms under the vector representation of SO(<math>n</math>). These models are critical and their low-energy effective theory is the SO(<math>n</math> ...

...[[sign problem]] is absent, the method can also be used to solve [[lattice models]] such as the [[Hubbard model]] at half filling. To distinguish it from ot Step 1 of CT-QMC is to split the Hamiltonian into an exactly solvable term, <math>H_0</math>, and the rest, <math>H_\mathrm{I}</math>. Different ...

...ich drive concept-model learning, adaptation, and formation of new concept-models for better correspondence to the input, bottom-up signals. ==Concept models and similarity measures== ...

{{short description|Generalization of the ice-type (six-vertex) models}} ...model''' is a generalization of the [[ice-type model|ice-type (six-vertex) models]]. It was discussed by Sutherland<ref>{{cite journal | last=Sutherland | fi ...

==Related models== ...are and honeycomb lattices. No exact solution is known for either of these models, but the critical point ''z''_c is near {{val|3.7962|0.0001}} for ...

[[Category:Exactly solvable models]] ...