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We study resonant radiation generated by bound solitons in a twin-core fiber near zero-dispersion wavelength, in the presence of higher order dispersion terms. We propose a theoretical description of dispersive wave generation mechanism and…

Optics · Physics 2017-07-12 Ivan Oreshnikov , Rodislav Driben , Alexey Yulin

It is widely known that the spectrum of the Dirichlet Laplacian is stable under small perturbations of a domain, while in the case of the Neumann or mixed boundary conditions the spectrum may abruptly change. In this work we discuss an…

Spectral Theory · Mathematics 2023-02-09 Giuseppe Cardone , Andrii Khrabustovskyi

We investigate the formation of bound states of non-relativistic dark matter particles subject to long-range interactions through radiative capture. The initial scattering and final bound states are described by Coulomb potentials with…

High Energy Physics - Phenomenology · Physics 2024-11-14 Martin Beneke , Tobias Binder , Lorenzo de Ros , Mathias Garny , Stefan Lederer

Bound states of the Hamiltonian describing a quantum particle living on three dimensional straight strip of width $d$ are investigated. We impose the Neumann boundary condition on the two concentric windows of the radii $a$ and $ b$ located…

Mathematical Physics · Physics 2015-05-20 Hatem Najar , Oleg Olendski

A precise modelling of the dynamics of bubbles nucleated during first-order phase transitions in the early Universe is pivotal for a quantitative determination of various cosmic relics, including the stochastic background of gravitational…

High Energy Physics - Phenomenology · Physics 2024-01-25 Stefania De Curtis , Luigi Delle Rose , Andrea Guiggiani , Ángel Gil Muyor , Giuliano Panico

Pair creation by a spatially homogeneous, time-dependent electric field is studied within the framework of scalar quantum electrodynamics. We employ the standard Bogoliubov transformation approach to compute the single-particle distribution…

Quantum Physics · Physics 2025-01-27 Deepak Sah , Manoranjan P. Singh

The problem of boundary conditions in a supersymmetric theory of quantum cosmology is studied, with application to the one-loop prefactor in the quantum amplitude. Our background cosmological model is flat Euclidean space bounded by a…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Peter D. D'Eath , Giampiero Esposito

In this work we solve Dirac equation by using the method of seperation of variables. Then we analyzed the particle creation process. To compute the density number of particles created Bogoliubov transformation technique is used.

General Relativity and Quantum Cosmology · Physics 2009-11-07 Ali Havare , Taylan Yetkin , Murat Korunur

Dirichlet boundary conditions on a surface can be imposed on a scalar field, by coupling it quadratically to a $\delta$-like potential, the strength of which tends to infinity. Neumann conditions, on the other hand, require the introduction…

High Energy Physics - Theory · Physics 2014-11-20 C. D. Fosco , F. C. Lombardo , F. D. Mazzitelli

We point out that in models of macroscopic topological defects composed of one or more scalar fields that interact with standard-model fields via scalar-type couplings, the back-action of ambient matter on the scalar field(s) produces an…

High Energy Physics - Phenomenology · Physics 2021-01-04 Yevgeny V. Stadnik

We investigate a moving boundary problem for a Brownian particle on the semi-infinite line in which the boundary moves by a distance proportional to the time between successive collisions of the particle and the boundary. Phenomenologically…

Statistical Mechanics · Physics 2025-01-14 B. De Bruyne , J. Randon-Furling , S. Redner

We examine the transient scattered and transmitted fields generated when an incident electromagnetic wave impinges on a dielectric scatterer or a coated conductor embedded in an infinite space. By applying a boundary-field equation method,…

Analysis of PDEs · Mathematics 2024-12-19 George C. Hsiao , Tonatiuh Sánchez-Vizuet , Wolfgang L. Wendland

We present a study of the static and dynamical Casimir effects for a quantum field theory satisfying generalized Robin boundary condition, of a kind that arises naturally within the context of quantum circuits. Since those conditions may…

High Energy Physics - Theory · Physics 2015-06-15 C. D. Fosco , F. C. Lombardo , F. D. Mazzitelli

We consider a system of particles undergoing correlated diffusion with elastic boundary conditions on the half-line. By taking the large particle limit we establish existence and uniqueness for the limiting empirical measure valued process…

Probability · Mathematics 2022-10-19 Ben Hambly , Julian Meier , Andreas Sojmark

We construct quantum field theory in an analogue curved spacetime in Bose-Einstein condensates based on the Bogoliubov-de Gennes equations, by exactly relating quantum particles in curved spacetime with Bogoliubov quasiparticle excitations…

Other Condensed Matter · Physics 2010-11-02 Yasunari Kurita , Michikazu Kobayashi , Takao Morinari , Makoto Tsubota , Hideki Ishihara

Understanding the nature of dark energy and dark matter is one of modern physics' greatest open problems. Scalar-tensor theories with screened scalar fields like the chameleon model are among the most popular proposed solutions. In this…

General Relativity and Quantum Cosmology · Physics 2024-10-16 Ana Lucía Báez-Camargo , Daniel Hartley , Christian Käding , Ivette Fuentes-Guridi

We consider the coherent state approach to non-commutativity, and we derive from it an effective quantum scalar field theory. We show how the non-commutativity can be taken in account by a suitable modification of the Klein-Gordon product,…

High Energy Physics - Theory · Physics 2015-05-18 Massimiliano Rinaldi

We consider a macroscopic model describing a system of self-gravitating particles. We study the existence and uniqueness of non-negative stationary solutions and allude the differences to results obtained from classical gravitational…

Analysis of PDEs · Mathematics 2015-01-08 René Pinnau , Oliver Tse

In recent work by two of us, [Durrer & Ruser, PRL 99, 071601 (2007); Ruser & Durrer PRD 76, 104014 (2007)], graviton production due to a moving spacetime boundary (braneworld) in a five dimensional bulk has been considered. In the same way…

Cosmology and Nongalactic Astrophysics · Physics 2010-08-13 Marcus Ruser , Ruth Durrer , Marc Vonlanthen , Peter Wittwer

The spin 1 particle is treated in the presence of the Dirac magnetic monopole in the Minkowski and Lobachevsky spaces. Separating the variables in the frame of the matrix 10-component Duffin-Kemer-Petiau approach (wave equation) and making…

Quantum Physics · Physics 2015-01-20 O. V. Veko , K. V. Kazmerchuk , E. M. Ovsiyuk , V. V. Kisel , A. M. Ishkhanyan , V. M. Red'kov