Results 81 to 90 of about 78,766 (164)

A hidden analytic structure of the Rabi model

, 2013
The Rabi model describes the simplest interaction between a cavity mode with a frequency $\omega_c$ and a two-level system with a resonance frequency $\omega_0$.
Moroz, Alexander
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Inversive Difference Modules and Solvability of Systems of Linear Difference Equations

Rocky Mountain Journal of Mathematics, 2007
The author studies homological properties of inversive difference modules and applies them to the problem of solvability of a system of linear difference equations over a difference field. He proves the existence of Grothendieck's spectral sequence for the functor Ext in the category of inversive difference modules.
openaire   +2 more sources

On polynomial solutions of differential equations

, 1992
A general method of obtaining linear differential equations having polynomial solutions is proposed. The method is based on an equivalence of the spectral problem for an element of the universal enveloping algebra of some Lie algebra in the ...
Turbiner, A.
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Hydrodynamics of local excitations after an interaction quench in 1D cold atomic gases

New Journal of Physics, 2016
We discuss the hydrodynamic approach to the study of the time evolution—induced by a quench—of local excitations in one dimension. We focus on interaction quenches: the considered protocol consists of creating a stable localized excitation propagating ...
Fabio Franchini, Manas Kulkarni, Andrea Trombettoni   +2 more
doaj   +1 more source

Generalized Rayleigh and Jacobi processes and exceptional orthogonal polynomials

, 2012
We present four types of infinitely many exactly solvable Fokker-Planck equations, which are related to the newly discovered exceptional orthogonal polynomials.
Albanese C., C.-I. CHOU, C.-L. HO, Ho C.-L., Hu G., Karlin S., Quesne C., Quesne C., Zee A.   +8 more
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The theory behind solvability of some difference equations and systems

Journal of Inequalities and Applications
Quite recently in the paper ‘Qualitative behavior of higher-order rational difference systems: positivity, asymptotic behavior, and periodicity’ (J. Inequal. Appl.
Stevo Stević
doaj   +1 more source

A New Conservative Difference Scheme for the General Rosenau-RLW Equation

Boundary Value Problems, 2010
A new conservative finite difference scheme is presented for an initial-boundary value problem of the general Rosenau-RLW equation. Existence of its difference solutions are proved by Brouwer fixed point theorem.
Zhang Tian-De, Chang Feng, Zuo Jin-Ming, Zhang Yao-Ming   +3 more
doaj  

Point Canonical Transformation versus Deformed Shape Invariance for Position-Dependent Mass Schrödinger Equations

Symmetry, Integrability and Geometry: Methods and Applications, 2009
On using the known equivalence between the presence of a position-dependent mass (PDM) in the Schrödinger equation and a deformation of the canonical commutation relations, a method based on deformed shape invariance has recently been devised for ...
Christiane Quesne
doaj   +1 more source

Nonlinear differential-difference and difference equations: integrability and exact solvability

Computers & Mathematics with Applications, 2001
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +1 more source

A local meshless technique for recovering dual forms of time-varying sources in the nonlocal inverse heat equation

Results in Applied Mathematics
This study focuses on retrieving a time-dependent source term in the heat equation governed by two distinct nonlocal boundary conditions. The inverse problem is structured with an interior energy over-specification constraint.
Elyas Shivanian, Ahmad Jafarabadi, Mousa J. Huntul   +2 more
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