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We present two alternative complete sets of static modes of a homogeneous dielectric sphere, for their use in the resonant-state expansion (RSE), a rigorous perturbative method in electrodynamics. Physically, these modes are needed to…

Optics · Physics 2019-12-10 S. V. Lobanov , W. Langbein , E. A. Muljarov

Giant field enhancement and field singularities are a natural consequence of the commonly employed local-response framework. We show that a more general nonlocal treatment of the plasmonic response leads to new and possibly fundamental…

A quantum-mechanical model to calculate the electron energy-loss spectra (EELS) for the system of a closely located metallic nanoshell and a molecule has been developed. At the resonance between the molecular excitation and plasmon modes in…

Atomic Physics · Physics 2014-10-07 I. Yu. Goliney , Ye. V. Onykienko

We present an in-depth analysis of the experimental estimation of cross sections in Surface Enhanced Raman Scattering (SERS) by vibrational pumping. The paper highlights the advantages and disadvantages of the technique, pinpoints the main…

Chemical Physics · Physics 2007-05-23 R. C. Maher , L. F. Cohen , E. C. Le Ru , P. G. Etchegoin

We develop a theory of resonant inelastic x-ray scattering (RIXS) at the $K$ edge in La$_2$CuO$_4$ on the basis of the Keldysh Green's function formalism. In our previous analysis (Phys. Rev. B 71, 035110 (2005)), the scattering by the…

Strongly Correlated Electrons · Physics 2015-06-25 Jun-ichi Igarashi , Takuji Nomura , Manabu Takahashi

An ion and a polar molecule interact by an anisotropic ion-dipole potential scaling as $- \alpha \cos (\theta)/r^2$ at large distances. Due to its long-range character, it modifies the properties of angular wave functions, which are no…

Atomic Physics · Physics 2021-03-03 Tomasz Wasak , Zbigniew Idziaszek

This study concerns the two-body scattering of particles in a one-dimensional periodic potential. A convenient ansatz allows for the separation of center-of-mass and relative motion, leading to a discrete Schr\"odinger equation in the…

Atomic Physics · Physics 2021-08-11 Seth T. Rittenhouse , P. Giannakeas , Nirav P. Mehta

A spectral technique is applied to evaluate the resonance frequencies of the full retarded scattering from spherical nanoparticles. This approach allows one to unambiguously identify the modes that are responsible of both the peaks and the…

Optics · Physics 2017-02-15 Carlo Forestiere , Giovanni Miano

This paper deals with the relativistic, quantized electromagnetic and Dirac field equations in the arena of discrete phase space and continuous time. The mathematical formulation involves partial difference equations. In the consequent…

General Physics · Physics 2021-01-26 Anadijiban Das , Rupak Chatterjee , Ting Yu

In this paper the interaction of a scalar field and the electromagnetic field in phase space is analyzed. The scattering process is calculated up to first order in the Planck constant which is obtained by an expansion of the Moyal product…

High Energy Physics - Theory · Physics 2018-08-29 R. G. G. Amorim , J. S da Cruz Filho , A. F. Santos , S. C. Ulhoa

We present a boundary integral formulation of electromagnetic scattering by homogeneous bodies that are characterized by linear constitutive equations in the frequency domain. By working with the Cartesian components of the electric, E and…

Computational Physics · Physics 2018-12-18 Qiang Sun , Evert Klaseboer , Derek Y. C. Chan

A many-body Green's function approach to the microscopic theory of surface-enhanced Raman scattering is presented. Interaction effects between a general molecular system and a spatially anisotropic metal particle supporting plasmon…

Quantum Physics · Physics 2008-10-18 David J. Masiello , George C. Schatz

One considers a planar Maxwell-Chern-Simons electrodynamics in the presence of a purely spacelike Lorentz-violating background. Once the Dirac sector is properly introduced and coupled to the scalar and the gauge fields, the…

High Energy Physics - Theory · Physics 2009-11-10 Manoel M. Ferreira

In analogy to cavity optomechanics, enhancing specific sidebands of a Raman process with narrowband optical resonators would allow for parametric amplification, entanglement of light and molecular vibrations, and reduced transduction noise.…

Optics · Physics 2023-01-09 Ilan Shlesinger , Isabelle M. Palstra , A. Femius Koenderink

An analytic description of laser-assisted electron-atom scattering (LAES) in an elliptically polarized field is presented using time-dependent effective range (TDER) theory to treat both electron-laser and electron-atom interactions…

Atomic Physics · Physics 2015-06-12 A. V. Flegel , M. V. Frolov , N. L. Manakov , Anthony F. Starace , A. N. Zheltukhin

We study the scattering of two Skyrmions at low energy and large separation. We use the method proposed by Manton for truncating the degrees of freedom of the system from infinite to a manageable finite number. This corresponds to…

High Energy Physics - Theory · Physics 2009-10-28 T. Gisiger , M. B. Paranjape

We develop a theoretical formalism for collectively responding point scatterers where the radiating electromagnetic fields from each emitter are considered in the electric dipole, magnetic dipole, and electric quadrupole approximation. The…

Optics · Physics 2017-07-06 Derek W. Watson , Stewart D. Jenkins , Janne Ruostekoski

We present a general model study of surface-enhanced resonant Raman scattering and fluorescence focusing on the interplay between electromagnetic effects and the molecular dynamics. Our model molecule is placed close to two Ag…

Other Condensed Matter · Physics 2007-05-23 Hongxing Xu , Xue-Hua Wang , Martin P. Persson , H. Q. Xu , Mikael Kall , Peter Johansson

The multiple scattering model of a quantum particle in a random Lorentz gas consisting of fixed point scatterers is considered in arbitrary dimension. An efficient method is developed to numerically compute the map of the density of…

Quantum Physics · Physics 2022-05-11 David Gaspard , Jean-Marc Sparenberg

Surface-enhanced Raman scattering (SERS) combines analyte-specificity and single-molecule sensitivity, but its potential is limited by slow readout where sophisticated nanosensors are analysed in a serial fashion, one particle at a time. We…