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This paper proposes to assess the potential of industrial enterprises using Harrington's desirability function. The approaches to defining the essence and components of potential have been generalized. It is systematized the indic...
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This paper proposes to assess the potential of industrial enterprises using Harrington's desirability function. The approaches to defining the essence and components of potential have been generalized. It is systematized the indicators, which determine the potential of the industrial enterprise. A scientific and methodological approach to evaluating the level of potential based on the generalized Harrington's criterion has been proposed, which allows generalizing various criteria and factors that determine the potential of the enterprise, convert them into a dimensionless scale and calculate the criterion of desirability - the level of potential. The gradation of values of the desirability function depending on the values of the function has been proposed. The potential of machine-building enterprises has been assessed according to the proposed method. The results of the study allow a more comprehensive and thorough assessment of the level of potential of the enterprise and identification of areas for its growth.
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The Schrödinger equation is solved exactly for some well known potentials. Solutions are obtained reducing the Schrödinger equation into a second order differential equation by using an appropriate coordinate transformation. The...
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The Schrödinger equation is solved exactly for some well known potentials. Solutions are obtained reducing the Schrödinger equation into a second order differential equation by using an appropriate coordinate transformation. The Nikiforov-Uvarov method is used in the calculations to get energy eigenvalues and the corresponding wave functions. Keywords Generalized Morse potential - Rosen-Morse potential - Pseudoharmonic potential - Mie potential - Woods-Saxon potential - Kratzer-Fues potential - Non-central potential
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This is the first in a series of papers on scattering theory for one-dimensional Schr¨odinger operators with highly singular potentials q ∈ H 1loc (R). In this paper, we study Miura potentials q associated with positive Schr¨od...
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This is the first in a series of papers on scattering theory for one-dimensional Schr¨odinger operators with highly singular potentials q ∈ H 1loc (R). In this paper, we study Miura potentials q associated with positive Schr¨odinger operators that admit a Riccati representation q = u + u2 for a unique u ∈ L1(R) ∩ L2(R). Such potentials have a well-defined reflection coefficient r(k) that satisfies |r(k)| < 1 and determines u uniquely. We show that the scattering map S : u → r is real analytic with real-analytic inverse. To do so, we exploit a natural complexification of the scattering map associated with the ZS-AKNS system. In subsequent papers, we will consider larger classes of potentials including singular potentials with bound states.
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This paper's objective is to create a "consistent" mean-field based Kohn-Sham (KS) density functional theory (DFT) meaning the functional should not only provide good total energy properties, but also the corresponding KS eigenval...
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This paper's objective is to create a "consistent" mean-field based Kohn-Sham (KS) density functional theory (DFT) meaning the functional should not only provide good total energy properties, but also the corresponding KS eigenvalues should be accurate approximations to the vertical ionization potentials (VIPs) of the molecule, as the latter condition attests to the viability of the exchangecorrelation potential (VXC). None of the prominently used DFT approaches show these properties: the optimized effective potential VXC based ab initio dft does. A local, range-separated hybrid potential cam-QTP-00 is introduced as the basis for a "consistent" KS DFT approach. The computed VIPs as the negative of KS eigenvalue have a mean absolute error of 0.8 eV for an extensive set of molecule's electron ionizations, including the core. Barrier heights, equilibrium geometries, and magnetic properties obtained from the potential are in good agreement with experiment. A similar accuracy with less computational efforts can be achieved by using a non-variational global hybrid variant of the QTP-00 approach.
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The Muckenhoupt–Wheeden theorem is proved for one class of potentials. As a consequence,we describe the equivalent norm in the space of generalized Bessel potentials of negative order.
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Neuroplastic changes that take place in the brain after sustaining a spinal cord injury have generally been studied encompassing various post-injury time periods, sometimes ranging from just a few days to many years. Although rese...
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Neuroplastic changes that take place in the brain after sustaining a spinal cord injury have generally been studied encompassing various post-injury time periods, sometimes ranging from just a few days to many years. Although research on the low-end of this time spectrum has established that neuroplastic changes can be detected shortly after trauma, electroencephalographic changes that take place in long-term injuries are still poorly defined. To investigate this, the present study recorded the movement-related brain potentials from 9 long suffering spinal cord injury patients (post-injury range 6-24. years, mean 14.63; age range 27-44. years, mean 36.78) while they were attempting to move their paralysed toes. Their data were compared with the data of similar age and same sex spinal intact participants; 10 of whom only prepared for action and 10 others who actually executed the movement. The results showed that the amplitudes of the readiness potential and motor potential were lower in the spinal cord injury group than in the movement control group. The topographic distribution of the motor potential was also more similar between the spinal cord injury group and the no-movement control group, whereas that of the readiness potential was more similar between the spinal cord injury group and the movement control group. These findings suggest that both motor preparatory processes and motor execution processes are affected by neuroplastic changes that take place in the brain of long suffering spinal cord injury patients. ? 2013 Elsevier B.V.
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Condition assessment or controlling systems for cathodic protection of reinforced concrete structures are usually based on potential measurements. In case of permanent monitoring systems, reference electrodes are embedded in the c...
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Condition assessment or controlling systems for cathodic protection of reinforced concrete structures are usually based on potential measurements. In case of permanent monitoring systems, reference electrodes are embedded in the concrete, whereas for occasional investigations external reference electrodes are normally used and placed on the concrete surface. However, ionic concentration gradients between the inner solution of the reference electrode and the concrete pore solution give rise to liquid junction potentials. In addition, internal gradients in pH or chloride content, as well as permselective properties of the cement paste lead to membrane potentials. Although these phenomena are usually not considered to be significant, they might be underestimated in many cases and lead to misinterpretation of measurement results. This is especially important with regard to applications of potentiometric sensors such as chloride or pH sensors, where accurate potential readings are fundamental. This article presents the theoretical background and summarises available literature with regard to diffusion potentials in concrete. Liquid junction potentials between various
solutions have been measured experimentally. Practical consequences and possible attempts to minimise measurement errors are discussed.
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The solution of the time-dependent Schrodinger equation is discussed for a particle confined in half-space x > 0 with a linear potential V (x) = Kx in the following situations: (a) sudden removal of the wall and switching on the l...
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The solution of the time-dependent Schrodinger equation is discussed for a particle confined in half-space x > 0 with a linear potential V (x) = Kx in the following situations: (a) sudden removal of the wall and switching on the linear potential V (x) = Kx at x ≤ 0, (b) sudden removal of the wall and the potential and (c) sudden removal of the potential. A brief discussion of quantum statistics is presented.
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Analytical bond-order potentials for beryllium, beryllium carbide and beryllium hydride arepresented. The reactive nature of the formalism makes the potentials suitable for simulations ofnon-equilibrium processes such as plasma—w...
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Analytical bond-order potentials for beryllium, beryllium carbide and beryllium hydride arepresented. The reactive nature of the formalism makes the potentials suitable for simulations ofnon-equilibrium processes such as plasma—wall interactions in fusion reactors. The Be andBe—C potentials were fitted to ab initio calculations as well as to experimental data of severaldifferent atomic configurations and Be—H molecule and defect data were used in determiningthe Be—H parameter set. Among other tests, sputtering, melting and quenching simulationswere performed in order to check the transferability of the potentials. The antifluorite Be_2Cstructure is well described by the Be—C potential and the hydrocarbon interactions are modelledby the established Brenner potentials.
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