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Scalar potential

About: Scalar potential is a research topic. Over the lifetime, 3642 publications have been published within this topic receiving 78868 citations. The topic is also known as: potential.


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TL;DR: In this paper, a supersymmetry-based method for the construction of zero-energy states in graphene was proposed, which is applied to a two-dimensional massless Dirac equation with a hyperbolic scalar potential.
Abstract: We devise a supersymmetry-based method for the construction of zero-energy states in graphene. Our method is applied to a two-dimensional massless Dirac equation with a hyperbolic scalar potential. We determine supersymmetric partners of our initial system and derive a reality condition for the transformed potential. The Dirac potentials generated by our method can be used to approximate interactions that are experimentally realizable.

25 citations

Journal ArticleDOI
TL;DR: In this article, an extension of the Clausius equality to quasistatic operations between nonequilibrium steady states (NESSs) was studied. But the authors only considered the case of a spinless electron system in quantum dots.
Abstract: For open systems described by the quantum Markovian master equation, we study a possible extension of the Clausius equality to quasistatic operations between nonequilibrium steady states (NESSs). We investigate the excess heat divided by temperature (i.e., excess entropy production) which is transferred into the system during the operations. We derive a geometrical expression for the excess entropy production, which is analogous to the Berry phase in unitary evolution. Our result implies that in general one cannot define a scalar potential whose difference coincides with the excess entropy production in a thermodynamic process, and that a vector potential plays a crucial role in the thermodynamics for NESSs. In the weakly nonequilibrium regime, we show that the geometrical expression reduces to the extended Clausius equality derived by Saito and Tasaki (J. Stat. Phys. {\bf 145}, 1275 (2011)). As an example, we investigate a spinless electron system in quantum dots. We find that one can define a scalar potential when the parameters of only one of the reservoirs are modified in a non-interacting system, but this is no longer the case for an interacting system.

24 citations

Journal ArticleDOI
TL;DR: In this article, the authors derived a new regularization method for the calculation of the (massless) scalar self force in curved spacetime, which is expressed in terms of the difference between two retarded scalar fields.
Abstract: We derive a new regularization method for the calculation of the (massless) scalar self force in curved spacetime. In this method, the scalar self force is expressed in terms of the difference between two retarded scalar fields: the massless scalar field, and an auxiliary massive scalar field. This field difference combined with a certain limiting process gives the expression for the scalar self-force. This expression provides a new self force calculation method.

24 citations

Journal ArticleDOI
TL;DR: In this article, the authors exploit a new numerical technique for evaluating the tree order contributions to the primordial scalar and tensor power spectra for scalar potential models of inflation, and develop a good analytic approximation which goes beyond generalized slow roll expansions in that it is not contaminated by the physically irrelevant phase, its 0th order term is exact for the constant first slow roll parameter, and the correction is multiplicative rather than additive.
Abstract: We exploit a new numerical technique for evaluating the tree order contributions to the primordial scalar and tensor power spectra for scalar potential models of inflation. Among other things we use the formalism to develop a good analytic approximation which goes beyond generalized slow roll expansions in that (1) it is not contaminated by the physically irrelevant phase, (2) its 0th order term is exact for the constant first slow roll parameter, and (3) the correction is multiplicative rather than additive. These features allow our formalism to capture at first order effects which are higher order in other expansions. Although this accuracy is not necessary to compare current data with any specific model, our method has a number of applications owing to the simpler representation it provides for the connection between the power spectra and the expansion history of a general model.

24 citations

Journal ArticleDOI
TL;DR: In this paper, a package named VECTOR for solving 3-D eddy current problems is presented, which is a developmental version of the commercial package CARMEN and in the same way solves the vector diffusion equation, involving a modified vector potential, within conductors and the scalar Poisson equation, using a magnetic scalar potential, in non-eddy-current regions.
Abstract: A package named VECTOR for solving 3-D eddy current problems is presented. The package is a developmental version of the commercial package CARMEN and in the same way solves the vector diffusion equation, involving a modified vector potential, within conductors and the scalar Poisson equation, using a magnetic scalar potential, in non-eddy-current regions. It has been shown that this set of equations yields a unique solution for both the magnetic vector potential (and hence the currents) and the fields (which are derived from the magnetic potentials by differentiation). This package has recently been extended to solve transient problems, using simple time-stepping techniques. Some results using the package for problems with analytic solutions are given. >

24 citations


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Performance
Metrics
No. of papers in the topic in previous years
YearPapers
202321
202238
2021137
2020149
2019147
2018147