Results 31 to 40 of about 6,202,080 (136)

An elegant solution of the n-body Toda problem [PDF]

, 1995
The solution of the classical open-chain n-body Toda problem is derived from an ansatz and is found to have a highly symmetric form. The proof requires an unusual identity involving Vandermonde determinants.
Anderson, Arlen
core   +3 more sources

The Benjamin–Ono Equation in the Zero‐Dispersion Limit for Rational Initial Data: Generation of Dispersive Shock Waves

Communications on Pure and Applied Mathematics, EarlyView.
ABSTRACT The leading‐order asymptotic behavior of the solution of the Cauchy initial‐value problem for the Benjamin–Ono equation in L2(R)$L^2(\mathbb {R})$ is obtained explicitly for generic rational initial data u0$u_0$. An explicit asymptotic wave profile uZD(t,x;ε)$u^\mathrm{ZD}(t,x;\epsilon)$ is given, in terms of the branches of the multivalued ...
Elliot Blackstone, Louise Gassot, Patrick Gérard, Peter D. Miller   +3 more
wiley   +1 more source

Is there a computable upper bound for the height of a solution of a Diophantine equation with a unique solution in positive integers?

, 2017
Let B_n={x_i \cdot x_j=x_k, x_i+1=x_k: i,j,k \in {1,...,n}}. For a positive integer n, let \xi(n) denote the smallest positive integer b such that for each system S \subseteq B_n with a unique solution in positive integers x_1,...,x_n, this solution ...
Tyszka, Apoloniusz
core   +2 more sources

Enhanced Nonlinear Optical Absorption Properties and Carrier Dynamics of Violet Phosphorene by Oxidation for Ultrafast Photonic Applications

ENERGY &ENVIRONMENTAL MATERIALS, EarlyView.
This study investigates the effects of oxidation treatment on the nonlinear optical absorption properties and carrier dynamics of two‐dimensional violet phosphorene (VP), elucidating the underlying physical mechanisms. Furthermore, ultrashort laser pulses are achieved utilizing the enhanced saturation absorption and shortened carrier relaxation ...
Bo Li, Han Pan, Qingling Tang, Zhongben Pan, Hongwei Chu, Ying Li, Dechun Li   +6 more
wiley   +1 more source

Strain Imaging of GaAs by Stimulated Raman Scattering Microscopy

Journal of Raman Spectroscopy, EarlyView.
Telecom‐wavelength stimulated Raman scattering (SRS) microscopy is developed for high‐throughput, nondestructive characterization of gallium arsenide (GaAs). By overcoming optical absorption limits of conventional Raman systems, this technique enables precise visualization of LO phonon frequency variations (< 0.2‐cm−1$$ {}^{-1} $$ precision).
Yuki Sano, Yasuyuki Ozeki
wiley   +1 more source

Octave‐Spanning, Deterministic Single Soliton Generation in 4H‐Silicon Carbide‐On‐Insulator Microring Resonators

Laser &Photonics Reviews, EarlyView.
The miniaturization of metrology and precision spectroscopy systems requires robust, turn‐key microcombs with broad bandwidth, low threshold, and high efficiency. Here, high‐Q, dispersion‐engineered microresonators in a high‐confinement nonlinear SiC platform, combined with waveguide‐enabled thermal management and laser cooling, enable deterministic ...
Yi Zheng, Liping Zhou, Chengli Wang, Yanjing Zhao, Ailun Yi, Kresten Yvind, Xin Ou, Minhao Pu   +7 more
wiley   +1 more source

Lifshitz black holes in Brans-Dicke theory [PDF]

, 2011
We present an exact asymptotically Lifshitz black hole solution in Brans-Dicke theory of gravity in arbitrary $n(\ge 3)$ dimensions in presence of a power-law potential.
A Agnese, A Anabalon, A Bhadra, A Donos, A Sen, A Sheykhi, A Sheykhi, AI Janis, B Xanthopoulos, C Brans, C Charmousis, C Lovelace, C Martinez, C Martinez, CG Callan Jr, CM Will, D Son, D-W Pang, DO Devecioglu, E Ayon-Beato, E Ayon-Beato, E Brynjolfsson, E Fradkin, E Fradkin, E Witten, G Bertoldi, G Bertoldi, G Bertoldi, G Bertoldi, Gaston Giribet, H Kim, H Kim, H Maeda, Hideki Maeda, I Fisher, J Bekenstein, J Bekenstein, K Balasubramanian, K Balasubramanian, K Balasubramanian, K Copsey, K Copsey, M Campanelli, M Dehghani, M Dehghani, M Dehghani, M Dehghani, M Ortaggio, M Wyman, MD Roberts, N Bocharova, O Hohm, OJ Dias, R-G Cai, R-G Cai, RB Mann, RM Wald, RM Wald, S Abdolrahimi, S Gubser, S Hawking, S Kachru, SM Carroll, T Azeyanagi, T Tamaki, T Tamaki, UH Danielsson, V Faraoni, V Faraoni, V Iyer, W Brenna, W Chemissany, Y Fujii   +72 more
core   +2 more sources

Optical Skyrmions with Tunable or Reconfigurable Topology Using Spin‐Decoupled Metaoptics

Laser &Photonics Reviews, EarlyView.
The work introduces advanced optical elements capable of generating and dynamically reconfiguring complex light patterns known as optical skyrmions. By precisely shaping light polarization at the nanoscale, a single engineered metasurface can generate and manipulate robust and tunable polarization textures in an efficient and scalable way.
Andrea Vogliardi, Daniele Bonaldo, Simone Dal Zilio, Vittorio Apolloni, Filippo Romanato, Gianluca Ruffato   +5 more
wiley   +1 more source

Deterministic Fiber‐Optic Spectral Engineering Enables Three‐Color Multiplexed Two‐Photon Microscopy

Laser &Photonics Reviews, EarlyView.
A simulation‐guided spectral‐engineering framework maps the nonlinear parameter space of a fiber laser platform to identify balanced three‐band excitation states. The resulting 960, 1080, and 1175 nm femtosecond pulses deliver nJ‐level energies for low‐cross‐talk chromatically multiplexed two‐photon microscopy.
Marvin Edelmann, Andreu Matamoros‐Angles, Mohsin Shafiq, Mikhail Pergament, Franz X. Kärtner, Markus Glatzel   +5 more
wiley   +1 more source

Solution of the Dicke model for N=3

, 2013
The N=3 Dicke model couples three qubits to a single radiation mode via dipole interaction and constitutes the simplest quantum-optical system allowing for Greenberger-Horne-Zeilinger states.
Braak, Daniel
core   +1 more source