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Treating water as a linearly responding dielectric continuum on molecular length scales allows very simple estimates of solvation structure and thermodynamics for charged and polar solutes. While this approach can successfully account for…

Statistical Mechanics · Physics 2021-07-07 Stephen J. Cox , Kranthi K. Mandadapu , Phillip L. Geissler

The Wigner-Smith (WS) time delay matrix relates an electromagnetic system's scattering matrix and its frequency derivative. Previous work showed that the entries of WS time delay matrices of systems excited by propagating waves consist of…

Systems and Control · Electrical Eng. & Systems 2023-05-17 Yiqian Mao , Utkarsh R. Patel , Eric Michielssen

We construct and thoroughly study a new integrable example of the AdS/CFT correspondence with Schr\"{o}dinger symmetry. On the gravity side, the supergravity solution depends on two parameters and is obtained by marginally deforming the…

High Energy Physics - Theory · Physics 2022-07-14 George Georgiou , Georgios Itsios , Dimitrios Zoakos

We examine SERS from two perspectives: as a phenomenon described by the Laplace Equation (the electrostatic or Rayleigh limit) and by the Helmholtz Equation (electrodynamic or Mie limit). We formulate the problem in terms of the scalar…

Optics · Physics 2011-09-14 E. J. Adles , S. Franzen , D. E. Aspnes

We consider the scattering of linear waves in two dimensions by a rectangular region at the junction of four waveguides. A solution to the frequency domain problem is obtained by exploiting reflective symmetry to reduce the full problem to…

Mathematical Physics · Physics 2024-11-28 Afnan A. Aldosri , Michael H. Meylan , Ben Wilks

We theoretically map out the ground state phase diagram of interacting dipolar fermions in one-dimensional lattice. Using a bosonization theory in the weak coupling limit at half filing, we show that one can construct a rich phase diagram…

Quantum Gases · Physics 2013-02-25 Theja N. De Silva

Present paper is devoted to formulation of the system of the master equations of the problem and analytical considerations of the limiting cases, which have an exact solutions (transversal and longitudinal flat bunches, linear approxim-…

Accelerator Physics · Physics 2007-05-23 A. Ts. Amatuni , S. G. Arutunian , M. R. Mailian

Resonant scattering of weak coherent laser pulses on a single two-level system (TLS) realized in a semiconductor quantum dot is investigated with respect to a time delay between incoming and scattered light. This type of time delay was…

A self-consistent analytical solution of the multi-subband Boltzmann transport equation with collision term describing grain boundary and surface roughness scattering is presented to study the resistivity scaling in metal nanowires. The…

Mesoscale and Nanoscale Physics · Physics 2016-06-23 Kristof Moors , Bart Sorée , Wim Magnus

The collision between a positronium (Ps) and a muonium (Mu) is studied for the first time using the static-exchange model and considering the system as a four-center Coulomb problem in the center of mass frame. An exact analysis is made to…

Atomic Physics · Physics 2015-01-05 Hasi Ray

The spherically symmetric static solutions are searched for in some f(T) models of gravity theory with a Maxwell term. To do this, we demonstrate that reconstructing the Lagrangian of f(T) theories is sensitive to the choice of frame, and…

General Relativity and Quantum Cosmology · Physics 2011-08-11 Tower Wang

A novel lattice approach is presented for studying systems comprising a large number of interacting nonrelativistic fermions. The construction is ideally suited for numerical study of fermions near unitarity--a strongly coupled regime…

High Energy Physics - Lattice · Physics 2015-03-17 Michael G. Endres , David B. Kaplan , Jong-Wan Lee , Amy N. Nicholson

In this article, we propose the realization of conformal manifolds, which are smooth manifolds of scale-conformal invariant interacting Hamiltonians in two-dimensional quantum many-body systems. Such phenomena can occur in various…

Strongly Correlated Electrons · Physics 2026-01-23 Saran Vijayan , Fei Zhou

This report deals with the basic concepts on deducing transit times for quantum scattering: the stationary phase method and its relation with delay times for relativistic and non-relativistic tunneling particles. We notice that the…

Quantum Physics · Physics 2017-11-08 Alex E. Bernardini

We investigate the systematic design of compliant morphing structures composed of materials reacting to an external stimulus. We add a perimeter penalty term to ensure existence of solutions. We propose a phase-field approximation of this…

Numerical Analysis · Mathematics 2024-11-12 Jamal Shabani , Kaushik Bhattacharya , Blaise Bourdin

A theory of correlations between N photons of given frequencies and detected at given time delays is presented. These correlation functions are usually too cumbersome to be computed explicitly. We show that they are obtained exactly through…

There is a two-component log-gas system with Boltzmann factor which provides an interpolation between the eigenvalue PDF for $\beta = 1$ and $\beta = 4$ invariant random matrix ensembles. The solvability of this log-gas system relies on the…

Mathematical Physics · Physics 2020-01-07 Peter J Forrester , Shi-Hao Li

Low-lying shell model states may be approximated accurately by a sum over products of proton and neutron states. The optimal factors are determined by a variational principle and result from the solution of rather low-dimensional eigenvalue…

Nuclear Theory · Physics 2007-05-23 T. Papenbrock , A. Juodagalvis , D. J. Dean

Inconsistencies are pointed out in a recent proposal [L. Diosi, Phys. Rev. A 80, 064104 (2009); arXiv:0905.3908v1] for a quantum version of the classical linear Boltzmann equation.

Quantum Physics · Physics 2010-09-28 Klaus Hornberger , Bassano Vacchini

We derive a compact analytical solution of the $n$th-order equal-time correlation functions by using scattering matrix ($S$ matrix) under a weak coherent state input. Our solution applies to any dissipative quantum system that respects the…

Quantum Physics · Physics 2023-11-08 Zhi-Guang Lu , Cheng Shang , Ying Wu , Xin-You Lü
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