LAUSR

Conformable fractional Sturm‐Liouville equation

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0 Published in 2019 at "Mathematical Methods in the Applied Sciences"

DOI: 10.1002/mma.5595

Abstract: In this article, we discuss a conformable fractional Sturm‐Liouville boundary‐value problem. We prove an existence and uniqueness theorem for this equation and formulate a self‐adjoint boundary value problem. We also construct the associated Green function… read more here.

Keywords: liouville equation; fractional sturm; sturm liouville; conformable fractional ... See more keywords

Extraction of isotropic electron-nuclear hyperfine coupling constants of paramagnetic point defects from near-zero field magnetoresistance spectra via least squares fitting to models developed from the stochastic quantum Liouville equation

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0 Published in 2020 at "Journal of Applied Physics"

DOI: 10.1063/5.0019875

Abstract: We report on a method by which we can systematically extract spectroscopic information such as isotropic electron–nuclear hyperfine coupling constants from near-zero field magnetoresistance (NZFMR) spectra. The method utilizes a least squares fitting of models… read more here.

Keywords: liouville equation; field; developed stochastic; models developed ... See more keywords

Inverse problems for the matrix Sturm–Liouville equation with a Bessel-type singularity

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1 Published in 2018 at "Applicable Analysis"

DOI: 10.1080/00036811.2017.1309026

Abstract: ABSTRACT The matrix Sturm–Liouville equation on a finite interval with a Bessel-type singularity in the end of the interval is studied. We consider inverse problems by the Weyl matrix and by the spectral data for… read more here.

Keywords: sturm liouville; liouville equation; inverse problems; matrix sturm ... See more keywords

Universality of electronic friction. II. Equivalence of the quantum-classical Liouville equation approach with von Oppen's nonequilibrium Green's function methods out of equilibrium

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0 Published in 2018 at "Physical Review B"

DOI: 10.1103/physrevb.97.064303

Abstract: In a recent publication [W. Dou, G. Miao, and J. E. Subotnik, Phys. Rev. Lett. \textbf{119}, 046001 (2017)], using the quantum-classical Liouville equation (QCLE), we derived a very general form for the electronic friction felt… read more here.

Keywords: liouville equation; equivalence; friction; quantum classical ... See more keywords

Stochastic Liouville equation for particles driven by dichotomous environmental noise.

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0 Published in 2017 at "Physical Review E"

DOI: 10.1103/physreve.95.012124

Abstract: We analyze the stochastic dynamics of a large population of noninteracting particles driven by a global environmental input in the form of a dichotomous Markov noise process (DMNP). The population density of particle states evolves… read more here.

Keywords: liouville equation; driven dichotomous; equation particles; stochastic liouville ... See more keywords