A Non-degenerate Scattering Theory for the Wave Equation on Extremal Reissner–Nordström
Sign Up to like & getrecommendations! Published in 2020 at "Communications in Mathematical Physics"
DOI: 10.1007/s00220-020-03857-3
Abstract: It is known that sub-extremal black hole backgrounds do not admit a (bijective) non-degenerate scattering theory in the exterior region due to the fact that the redshift effect at the event horizon acts as an… read more here.
Keywords: theory wave; equation extremal; non degenerate; wave equation ... See more keywords
A new proof of scattering theory for the 3D radial focusing energy-critical NLS with combined terms
Sign Up to like & getrecommendations! Published in 2020 at "Journal of Differential Equations"
DOI: 10.1016/j.jde.2019.11.055
Abstract: Abstract In this paper, we revisit the nonlinear Schrodinger equation i ∂ t u + Δ u = | u | 2 u − | u | 4 u in dimension three and give a… read more here.
Keywords: energy; energy critical; new proof; scattering theory ... See more keywords
Scattering theory for the Laplacian on symmetric spaces of noncompact type and its application to a conjecture of Strichartz
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Functional Analysis"
DOI: 10.1016/j.jfa.2018.11.005
Abstract: Abstract In this paper we develop the scattering theory for the Laplacian on symmetric spaces of noncompact type. We study the asymptotic properties of the resolvent in the framework of the Agmon–Hormander space. Our approach… read more here.
Keywords: noncompact type; laplacian symmetric; theory laplacian; scattering theory ... See more keywords
Two-dimension trapezoidal grating raytracing based on the scalar diffraction and scattering theory
Sign Up to like & getrecommendations! Published in 2018 at "AIP Advances"
DOI: 10.1063/1.5057386
Abstract: Diffraction grating is a fundamental optical element in spectral measurement or source monochromation. A newly designed grating named as two-dimension trapezoidal grating (TG), which not only has non-harmonic diffraction, non-background contaminations, but also has high… read more here.
Keywords: dimension trapezoidal; diffraction; scalar diffraction; scattering theory ... See more keywords
Scattering theory for Dirac fields inside a Reissner–Nordström-type black hole
Sign Up to like & getrecommendations! Published in 2021 at "Journal of Mathematical Physics"
DOI: 10.1063/5.0055920
Abstract: We show asymptotic completeness for the massive charged Dirac equation between the black hole and Cauchy horizons of a sub-extremal ((Anti-) De Sitter) Reissner-Nordstrom black hole. read more here.
Keywords: black hole; reissner; theory dirac; hole ... See more keywords
Quantum entangled-probe scattering theory
Sign Up to like & getrecommendations! Published in 2020 at "New Journal of Physics"
DOI: 10.1088/1367-2630/ac12e0
Abstract: We develop an entangled-probe scattering theory, including quantum detection, that extends the scope of standard scattering approaches. We argue that these probes may be revolutionary in studying entangled matter such as unconventional phases of strongly… read more here.
Keywords: quantum entangled; probe; probe scattering; scattering theory ... See more keywords
Scattering theory of transport through disordered magnets
Sign Up to like & getrecommendations! Published in 2019 at "Physical Review B"
DOI: 10.1103/physrevb.100.134431
Abstract: We present a scattering theory of transport through noncollinear disordered magnetic insulators. For concreteness, we study and compare the random field model (RFM) and the random anisotropy model (RAM). The RFM and RAM are used… read more here.
Keywords: probability spin; scattering theory; theory transport; transmission probability ... See more keywords
Wiedemann-Franz law in scattering theory revisited
Sign Up to like & getrecommendations! Published in 2020 at "Physical Review B"
DOI: 10.1103/physrevb.102.115423
Abstract: The violation of Wiedemann-Franz (WF) law has been widely discussed in quantum transport experiments as an indication of deviation from Fermi-liquid behavior. The conventional form of WF law is only concerned with the transmission function… read more here.
Keywords: wiedemann franz; law; franz law; fermi liquid ... See more keywords
Scattering theory of delicate topological insulators
Sign Up to like & getrecommendations! Published in 2022 at "Physical Review B"
DOI: 10.1103/physrevb.107.195110
Abstract: We study the scattering theory of delicate topological insulators (TIs), which are novel topological phases beyond the paradigm of the tenfold way, topological quantum chemistry, and the symmetry indicator method. We demonstrate that the phase… read more here.
Keywords: topology; scattering theory; theory delicate; delicate topological ... See more keywords
Scattering Theory on Surface Majorana Fermions by an Impurity in ^{3}He-B.
Sign Up to like & getrecommendations! Published in 2017 at "Physical review letters"
DOI: 10.1103/physrevlett.118.145301
Abstract: We have formulated the scattering theory on Majorana fermions emerging in the surface bound state of the superfluid ^{3}He B phase (^{3}He-B) by an impurity. By applying the theory to the electron bubble, which is… read more here.
Keywords: surface majorana; majorana fermions; scattering theory; impurity ... See more keywords
Inverse-Scattering Theory Guided U-Net Neural Networks for Internal Multiple Elimination
Sign Up to like & getrecommendations! Published in 2023 at "IEEE Transactions on Geoscience and Remote Sensing"
DOI: 10.1109/tgrs.2023.3243218
Abstract: Deep neural networks (DNNs) can automatically fetch specific features from seismic data, which can be used in the process of multiple elimination. An extended single-sided autofocusing guided by an inverse-scattering theory is introduced to remove… read more here.
Keywords: neural networks; scattering theory; inverse scattering; multiple elimination ... See more keywords