Results 21 to 26 of about 253 (26)
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 +39 more
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On The Harmonic Oscillator Group [PDF]
, 2011 We discuss the maximum kinematical invariance group of the quantum harmonic oscillator from a view point of the Ermakov-type system. A six parameter family of the square integrable oscillator wave functions, which seems cannot be obtained by the standard
Lopez, Raquel M. +2 more
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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
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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
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On the hierarchy of partially invariant submodels of differential equations
, 2007 It is noticed, that partially invariant solution (PIS) of differential equations in many cases can be represented as an invariant reduction of some PIS of the higher rank.
Chupakhin A P +23 more
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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 +3 more
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