A Minicomputer for Laboratory Automation

Grabowski, Piotr; Huggins, L. F.; Strohman, R. D.; Beckwith, Dave

doi:10.13031/2013.36866

Cited by 19 publications

(48 citation statements)

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“…The shift of the generator ρ appearing in the coupling terms is necessary. The existence of a cubic conserved quantity is a strong indication of integrability; however, as in the su(2) case there is no boost giving H 3 [9].…”

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confidence: 99%

The su(n) Hubbard model

Maassarani

1998

Physics Letters A

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The one-dimensional Hubbard model is known to possess an extended su(2) symmetry and to be integrable. I introduce an integrable model with an extended su(n) symmetry. This model contains the usual su(2) Hubbard model and has a set of features that makes it the natural su(n) generalization of the Hubbard model. Complete integrability is shown by introducing the L-matrix and showing that the transfer matrix commutes with the hamiltonian. While the model is integrable in one dimension, it provides a generalization of the Hubbard hamiltonian in any dimension.

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confidence: 99%

The su(n) Hubbard model

Maassarani

1998

Physics Letters A

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“…The reductionistic approach is proper for the simple (or complicated) systems [22,23], while each complex system should be analyzed not only by knowledge of behaviour of its individual elements but also how they act together [24]. Such an approach should be also used in the case of computer systems because they are no longer simple (complicated) systems but they are rather the complex ones [21,25,27] working in both: algorithmic and interactive mode [18,19] and during processing are governed by the long-range dependencies [21,26,28,29]. This means that some kind of paradigm change is needed in the approach for computer systems analysis.…”

Section: Computer Memory Systemmentioning

confidence: 99%

Non-Extensive Statistical Mechanics - a Possible Basis for Modelling Processes in Computer Memory System

Strzałka

2010

Acta Phys. Pol. A

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Tsallis definition of non-extensive entropy introduced in 1988 has been considered to obtain new possibilities to construct generalized thermodynamical basis for statistical physics expanding classical Boltzmann-Gibbs thermodynamics for nonequilibrium states. During the last two decades this q-generalized theory has been successfully applied to considerable number of physically interesting complex phenomena. In the paper the possible thermodynamical basis of processes will be presented in nowadays computer systems in the case of memory behaviour.

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“…where primed and unprimed quantities correspond to the two commuting copies. The cubic hamiltonian is not given by a boosted form of H 2 [11,27].…”

Section: Hamiltonians and Symmetriesmentioning

confidence: 99%

Hubbard Models as Fusion Products of Free Fermions

Maassarani

1998

Int. J. Mod. Phys. B

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A class of recently introduced su(n) `free-fermion' models has recently been used to construct generalized Hubbard models. I derive an algebra defining the `free-fermion' models and give new classes of solutions. I then introduce a conjugation matrix and give a new and simple proof of the corresponding decorated Yang-Baxter equation. This provides the algebraic tools required to couple in an integrable way two copies of free-fermion models. Complete integrability of the resulting Hubbard-like models is shown by exhibiting their L and R matrices. Local symmetries of the models are discussed. The diagonalization of the free-fermion models is carried out using the algebraic Bethe Ansatz.Comment: 14 pages, LaTeX. Minor modification

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A Minicomputer for Laboratory Automation

Cited by 19 publications

References 0 publications

The su(n) Hubbard model

The su(n) Hubbard model

Non-Extensive Statistical Mechanics - a Possible Basis for Modelling Processes in Computer Memory System

Hubbard Models as Fusion Products of Free Fermions

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