Fuzzified Matrix Space and Solvability of Matrix Equations
AxiomsA fuzzified matrix space consists of a collection of matrices with a fuzzy structure, modeling the cases of uncertainty on the part of values of different matrices, including the uncertainty of the very existence of matrices with the given values.
Vanja Stepanović, Andreja Tepavčević
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Duality in non-Hermitian random matrix theory
Nuclear Physics BWe consider 9 Gaussian matrix ensembles characterized by single symmetry among the 38-fold symmetry classification classes of non-Hermitian random matrices, and establish exact duality formulae of certain observables between them.
Dang-Zheng Liu, Lu Zhang
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Bi-Integrable and Tri-Integrable Couplings of a Soliton Hierarchy Associated with SO(3) [PDF]
Advances in Mathematical Physics, 2017 Based on the three-dimensional real special orthogonal Lie algebra SO(3), by zero curvature equation, we present bi-integrable and tri-integrable couplings associated with SO(3) for a hierarchy from the enlarged matrix spectral problems and the enlarged ...
Jian Zhang, Chiping Zhang, Yunan Cui
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ON SOME PROPERTIES OF UNBOUNDED BILINEAR FORMS ASSOCIATED WITH SKEW-SYMMETRIC L2(Ω)-MATRICES [PDF]
Vìsnik Dnìpropetrovsʹkogo Unìversitetu: Serìâ Modelûvannâ, 2013 We study the bilinear forms on the space of measurable square-integrable functionswhich are generated by skew-symmetric matrices with unbounded coecients.We show that in the case when a skew-symmetric matrix contains L2-elements, the corresponding ...
P. I. Kogut
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Bi-integrable and tri-integrable couplings of a soliton hierarchy associated with SO(4)
Open Mathematics, 2017 In our paper, the theory of bi-integrable and tri-integrable couplings is generalized to the discrete case. First, based on the six-dimensional real special orthogonal Lie algebra SO(4), we construct bi-integrable and tri-integrable couplings associated ...
Zhang Jian, Zhang Chiping, Cui Yunan
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Equations of motion as constraints: superselection rules, Ward identities [PDF]
Journal of High Energy Physics, 2017 The meaning of local observables is poorly understood in gauge theories, not to speak of quantum gravity. As a step towards a better understanding we study asymptotic (infrared) transformations in local quantum physics.
M. Asorey +3 more
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Exact surface energy of the D2(1) spin chain with generic non-diagonal boundary reflections
Nuclear Physics B, 2022 The exact solution of the D2(1) quantum spin chain with generic non-diagonal boundary reflections is obtained. It is found that the generating functional of conserved quantities of the system can be factorized as the product of transfer matrices of two ...
Guang-Liang Li +5 more
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Trace identities in the inverse scattering transform method associated with matrix Schrödinger operators [PDF]
, 1982 ©1982 American Institute of Physics.Trace identities arising in the scattering theory of one-dimensional matrix Schrodinger operators are deduced. They derive from the properties of an asymptotic expansion of the trace of the resolvent kernel in inverse ...
Olmedilla Moreno, Eugenio +3 more
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Solitons in lattice field theories via tight-binding supersymmetry
Journal of High Energy Physics, 2021 Reflectionless potentials play an important role in constructing exact solutions to classical dynamical systems (such as the Korteweg-de Vries equation), non-perturbative solutions of various large-N field theories (such as the Gross-Neveu model), and ...
Shankar Balasubramanian +2 more
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Pseudo-Exponential-Type Solutions of Wave Equations Depending on Several Variables [PDF]
, 2015 Using matrix identities, we construct explicit pseudo-exponential-type solutions of linear Dirac, Loewner and Schrödinger equations depending on two variables and of nonlinear wave equations depending on three ...
Bernd Kirstein +7 more
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