Analytical simulations of double-well, triple-well and multi-well dynamics via rationally extended Harmonic oscillator
نویسندگان
چکیده
منابع مشابه
Probabilistic global well-posedness for the supercritical nonlinear harmonic oscillator
— Thanks to an approach inspired from Burq-Lebeau [6], we prove stochastic versions of Strichartz estimates for Schrödinger with harmonic potential. As a consequence, we show that the nonlinear Schrödinger equation with quadratic potential and any polynomial nonlinearity is almost surely locally well-posed in L(R) for any d ≥ 2. Then, we show that we can combine this result with the high-low fr...
متن کاملBifurcation and chaos in the double well Duffing - van der Pol oscillator : Numerical and analytical studies
The behaviour of a driven double well Duffing-van der Pol (DVP) oscillator for a specific parametric choice (| α |= β) is studied. The existence of different attractors in the system parameters (f − ω) domain is examined and a detailed account of various steady states for fixed damping is presented. Transition from quasiperiodic to periodic motion through chaotic oscillations is reported. The i...
متن کاملPenetrable-square-well fluids: analytical study and Monte Carlo simulations.
We study structural and thermophysical properties of a one-dimensional classical fluid made of penetrable spheres interacting via an attractive square-well potential. Penetrability of the spheres is enforced by reducing from infinite to finite the repulsive energy barrier in the pair potentials As a consequence, an exact analytical solution is lacking even in one dimension. Building upon previo...
متن کاملWell, well, well water.
Although the multiplication of bacteriophages (phages) has a substantial impact on the biosphere, comparatively little is known about how the external environment affects phage production. Here we report that sub-lethal concentrations of certain antibiotics can substantially stimulate the host bacterial cell’s production of some virulent phage. For example, a low dosage of cefotaxime, a cephalo...
متن کاملThe quantum double well anharmonic oscillator in an external field
The aim of this paper is twofold. First of all, we study the behaviour of the lowest eigenvalues of the quantum anharmonic oscillator under influence of an external field. We try to understand this behaviour using perturbation theory and compare the results with numerical calculations. This brings us to the second aim of improving the method used to carry out the numerical calculations.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Physics: Conference Series
سال: 2016
ISSN: 1742-6588,1742-6596
DOI: 10.1088/1742-6596/670/1/012042