Bethe Ansatz derived from the functional relations of the open XXZ chain for new special cases
The transfer matrix of the general integrable open XXZ quantum spin chain obeys certain functional relations at roots of unity. By exploiting these functional relations, we determine the Bethe Ansatz solution for the transfer matrix eigenvalues for the ...
Alcaraz F C +17 more
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Strings on the deformed T^{1,1}: giant magnon and single spike solutions
In this paper we find giant magnon and single spike string solutions in a sector of the gamma-deformed conifold. We examine the dispersion relations and find a behavior analogous to the undeformed case. The transcendental functional relations between the
A. Butti +42 more
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Density functional scheme for calculating the pair density
The density functional scheme for calculating the pair density is presented by means of the constrained-search technique. The resultant single-particle equation takes the form of the modified Hartree-Fock equation which contains the kinetic contribution ...
Ayers +14 more
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Functional relations for the six vertex model with domain wall boundary conditions
In this work we demonstrate that the Yang-Baxter algebra can also be employed in order to derive a functional relation for the partition function of the six vertex model with domain wall boundary conditions.
Baxter R J +16 more
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Complexity vs linearity: relations between functional traits in a heterotrophic protist
Background Functional traits are phenotypic traits that affect an organism’s performance and shape ecosystem-level processes. The main challenge when using functional traits to quantify biodiversity is to choose which ones to measure since effort and ...
Nils A. Svendsen +4 more
doaj +1 more source
Do the Robertson-SCHR\"{O}DINGER and the Heisenberg Uncertainty Relations Imply a General Physical Principle ? [PDF]
It is explicitly shown that there exist physical states (normalized to 1) in which the Robertson- Schr\"{o}dinger and Heisenberg uncertainty relations are invalid, namely, the mean values of the physical operators are infinite.
N, Vinh Quang
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Dynamical variational principles for strongly correlated electron systems
The self-energy-functional approach (SFA) is discussed in the context of different variational principles for strongly correlated electron systems. Formal analogies between static and dynamical variational approaches, different types of approximation ...
Potthoff, Michael
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Statistical Learning in Automated Troubleshooting: Application to LTE Interference Mitigation
This paper presents a method for automated healing as part of off-line automated troubleshooting. The method combines statistical learning with constraint optimization.
Altman, Zwi +2 more
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Refined functional relations for the elliptic SOS model
In this work we refine the method of [1] and obtain a novel kind of functional equation determining the partition function of the elliptic SOS model with domain wall boundaries.
Baxter +31 more
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Derivation of functional equations for Feynman integrals from algebraic relations
New methods for obtaining functional equations for Feynman integrals are presented. The application of these methods to finding functional equations for various one- and two-loop integrals is described in detail.
O. V. Tarasov
doaj +1 more source

