Results 31 to 40 of about 292 (66)

Mathematical Structure of Relativistic Coulomb Integrals

, 2009
We show that the diagonal matrix elements $,$ where $O$ $={1,\beta,i\mathbf{\alpha n}\beta}$ are the standard Dirac matrix operators and the angular brackets denote the quantum-mechanical average for the relativistic Coulomb problem, may be considered as
A. F. Nikiforov, A. F. Nikiforov, H. A. Bethe, L. I. Schiff, N. M. Atakishiyev, R. Koekoek, S. Karlin, Sergei K. Suslov, V. M. Shabaev, V. M. Shabaev, V. M. Shabaev, W. N. Bailey   +11 more
core   +1 more source

Replicator-mutator equations with quadratic fitness

, 2016
This work completes our previous analysis on models arising in evolutionary genetics. We consider the so-called replicator-mutator equation, when the fitness is quadratic.
Alfaro, Matthieu, Carles, Rémi
core   +1 more source

Propagator of a Charged Particle with a Spin in Uniform Magnetic and Perpendicular Electric Fields

, 2008
We construct an explicit solution of the Cauchy initial value problem for the time-dependent Schroedinger equation for a charged particle with a spin moving in a uniform magnetic field and a perpendicular electric field varying with time.
A. Messia, A.F. Nikiforov, A.F. Nikiforov, B.R. Holstein, B.R. Holstein, C.E. Kenig, D.R. Haaheim, E. Merzbacher, E.D. Rainville, E.D. Rainville, E.M. Stein, Erwin Suazo, G. Staffilani, G.E. Andrews, G.N. Watson, G.P. Arrighini, I. Rodnianski, J. Howland, J.D. Jackson, J.D. Paliouras, K. Gottfried, K. Yajima, L.A. Beauregard, L.D. Landau, L.M.A. Bettencourt, L.S. Brown, N.S. Thomber, O.S. Rozanova, P. Nardone, R.P. Feynman, R.P. Feynman, R.P. Feynman, R.W. Robinett, Raquel M. Lopez, Ricardo Cordero-Soto, S. Flügge, Sergei K. Suslov, V. Naibo, V.M. Pérez-Garcia, V.P. Maslov   +39 more
core   +1 more source

Explicit solutions for replicator-mutator equations: extinction vs. acceleration

, 2014
We consider a class of nonlocal reaction-diffusion problems, referred to as replicator-mutator equations in evolutionary genetics. By using explicit changes of unknown function, we show that they are equivalent to the heat equation and, therefore ...
Alfaro, Matthieu, Carles, Rémi
core   +3 more sources

Probe method and a Carleman function

, 2020
A Carleman function is a special fundamental solution with a large parameter for the Laplace operator and gives a formula to calculate the value of the solution of the Cauchy problem in a domain for the Laplace equation.
Aizenberg L, Astala K, Astala K, Bateman H, Bateman H, Calderón A P, Cheng J, Evgrafov M A, Ikehata M, Ikehata M, Ikehata M, Ikehata M, Ikehata M, Ikehata M, Ikehata M, Ikehata M, Ikehata M, Ikehata M, Ikehata M, Kirsch A, Kress R, Masaru Ikehata, Vekua I N, Vekua I N, Yarmukhamedov Sh, Yarmukhamedov Sh, Yarmukhamedov Sh, Yarmukhamedov Sh   +27 more
core   +1 more source

Analytic solutions for Hamilton-Jacobi-Bellman equations [PDF]

, 2017
Closed form solutions are found for a particular class of Hamilton- Jacobi-Bellman equations emerging from a differential game among fims competing over quantities in a simultaneous oligopoly framework.
Palestini, Arsen
core   +1 more source

The Degenerate Parametric Oscillator and Ince's Equation

, 2010
We construct Green's function for the quantum degenerate parametric oscillator in terms of standard solutions of Ince's equation in a framework of a general approach to harmonic oscillators.
Angelow A, Angelow A Trifonov D A, Berry M V, Cordero-Soto R Suazo E Suslov S K, Cordero-Soto R Suslov S K, Dodonov V V, Dodonov V V, Feynman R P, Hannay J H, Lanfear N Suslov S K, Li J-F, Lo C F, Louisell W H, Magnus W, Malkin I A, Meiler M Cordero-Soto R Suslov S K, Mertens C J, Nikiforov A F, Orszag M, Peřina J, Puri R R, Ricardo Cordero-Soto, Sergei K Suslov, Shen Y R, Smirnov Yu F, Suazo E Suslov S K, Suslov S K, Suslov S K, Takahasi H, Walls D F   +29 more
core   +1 more source

Asymptotic parabolicity for strongly damped wave equations

, 2013
For $S$ a positive selfadjoint operator on a Hilbert space, \[ \frac{d^2u}{dt}(t) + 2 F(S)\frac{du}{dt}(t) + S^2u(t)=0 \] describes a class of wave equations with strong friction or damping if $F$ is a positive Borel function.
Fragnelli, Genni, Goldstein, Gisèle Ruiz, Goldstein, Jerome A., Romanelli, Silvia   +3 more
core   +1 more source

The Riccati System and a Diffusion-Type Equation [PDF]

, 2011
We discuss a method of constructing solution of the initial value problem for duffusion-type equations in terms of solutions of certain Riccati and Ermakov-type systems.
Suazo, Erwin, Suslov, Sergei K., Vega-Guzman, Jose M.   +2 more
core  

Cheng Equation: A Revisit Through Symmetry Analysis

, 2019
The symmetry analysis of the Cheng Equation is performed. The Cheng Equation is reduced to a first-order equation of either Abel's Equations, the analytic solution of which is given in terms of special functions.
Halder, Amlan K, Leach, Pgl, Paliathanasis, A, Sinuvasan, R   +3 more
core