[HTML][HTML] Integrable generalizations of Schrödinger maps and Heisenberg spin models from Hamiltonian flows of curves and surfaces

SC Anco, R Myrzakulov - Journal of Geometry and Physics, 2010 - Elsevier
… 2+1 vector models is given in terms of dynamical maps into the 2-… a new integrable
generalization of the Schrödinger map … this map equation corresponding to the mKdV spin model

On the geometric equivalence of certain discrete integrable Heisenberg ferromagnetic spin chains

M Daniel, K Manivannan - Journal of Mathematical Physics, 1999 - pubs.aip.org
… III, we map the integrable discrete isotropic bilinear Heisenberg … Now we consider the
discrete generalized Heisenberg spin chain described by the Hamiltonian 3.14 and the equation of …

Closed hierarchy of Heisenberg equations in integrable models with Onsager algebra

O Lychkovskiy - SciPost Physics, 2021 - scipost.org
… a class of integrable models where the Hamiltonian is an element … and its generalizations
to quantum integrability [29–33]. … -1/2 chain considered above, does not map to noninteracting …

More on generalized Heisenberg ferromagnet models

P Oh, QH Park - Physics Letters B, 1996 - Elsevier
… We generalize the integrable Heisenberg ferromagnet model … the generalized model from
which we obtain the Hamiltonian … ferromagnet and the nonlinear Schrodinger models is given. …

On the integrability aspects of the one‐dimensional classical continuum isotropic biquadratic Heisenberg spin chain

K Porsezian, M Daniel, M Lakshmanan - Journal of mathematical …, 1992 - pubs.aip.org
… to the original bilinear Heisenberg spin Hamiltonian.’ In this … III we map the spin chain onto
a moving helical space curve … be equivalent to a generalized nonlinear Schrbdinger equation (…

Dynamical simulation of integrable and nonintegrable models in the Heisenberg picture

D Muth, RG Unanyan, M Fleischhauer - Physical Review Letters, 2011 - APS
… ] and its more recent generalizations to time evolution using the … Although the above mapping
is nonlocal, operators acting … We note that the regular and chaotic Hamiltonians used in the …

Non-compact quantum spin chains as integrable stochastic particle processes

R Frassek, C Giardinà, J Kurchan - Journal of Statistical Physics, 2020 - Springer
… open integrable Hamiltonian (Sect. 2.1). The bulk part of this … , these models and their multi
species generalizations can be … maps to the integrable non-compact open Heisenberg XXX …

[引用][C] Integrable generalizations of Schrodinger maps and Heisenberg spin models from Hamiltonian flows of curves and surfaces

R Myrzakulov

[HTML][HTML] Integrable generalizations of Schrodinger maps and Heisenberg spin models from Hamiltonian flows of curves and surfaces

V Dzhunushaliev, V Folomeev, B Kleihaus, J Kunz - azdok.org
The thick brane model is considered in f (R)∼ R n gravity. It is shown that regular asymptotically
anti-de Sitter solutions exist in some range of values of the parameter n. A peculiar …

Structure of the conservation laws in quantum integrable spin chains with short range interactions

MP Grabowski, P Mathieu - Annals of Physics, 1995 - Elsevier
… is generalized for the su( M) invariant integrable chain. We … signature of integrability for
classical hamiltonian models. Take … “ For the infinite isotropic Heisenberg chain we have then an …