Results 71 to 80 of about 7,909 (213)

Application of the Asymptotic Taylor Expansion Method to Bistable Potentials

Advances in Mathematical Physics, 2013
A recent method called asymptotic Taylor expansion (ATEM) is applied to determine the analytical expression for eigenfunctions and numerical results for eigenvalues of the Schrödinger equation for the bistable potentials. Optimal truncation of the Taylor
Okan Ozer, Halide Koklu, Serap Resitoglu
doaj   +1 more source

Statistical Quantum Mpemba Effect From Griffiths Rare Regions

Advanced Quantum Technologies, Volume 9, Issue 9, September 2026.
The statistical quantum Mpemba effect emerges robustly in disordered open quantum systems. Griffiths rare regions generate a hierarchy of relaxation times that simple extended Bloch states naturally probe, without requiring fine‐tuned initial states or detailed knowledge of the Liouvillian spectrum.
Stefano Longhi
wiley   +1 more source

Flexible specification of directional spatial processes for eigenvector maps

Methods in Ecology and Evolution, Volume 17, Issue 9, Page 2729-2741, September 2026.
Abstract Understanding spatial structure is crucial when analysing species distributions, biodiversity and community dynamics. Spatial analysis using eigenvector maps provides a general framework for capturing spatial patterns in ecological data. Among these methods, asymmetric eigenvector maps (AEM) are particularly useful for capturing asymmetric ...
Shota Homma, Daisuke Murakami, Shinya Hosokawa, Koji Kanefuji   +3 more
wiley   +1 more source

Efficient computation for the eigenvalues and eigenfunctions of two-dimensional non-separable linear canonical transform

Results in Applied Mathematics
The parameter matrix of the two-dimensional non-separable linear canonical transform (2D-NSLCT) determines its specific form and properties. Certain forms of the 2D-NSLCT are consistent with well-known transforms, such as two-dimensional non-separable ...
Yuru Tian, Feng Zhang
doaj   +1 more source

Numerical Identification of Stationary States and Their Stability in a Model of Quantum Droplets

Studies in Applied Mathematics, Volume 157, Issue 3, September 2026.
ABSTRACT In this work, we are motivated by a recent variant of the nonlinear Schrödinger (NLS) equation describing cold, dilute atomic condensates with quantum fluctuation effects. Our goal is to develop robust numerical methods capable of uncovering diverse stationary solutions in such NLS models.
Sun Lee, Panayotis G. Kevrekidis, Wenrui Hao   +2 more
wiley   +1 more source

Second Eigenfunctions of Nonlinear Eigenvalue Problems

Journal of Mathematical Analysis and Applications, 1995
The author considers the eigenvalue problem (1) \(g'(u) = \lambda f' (u)\) where \(f\) and \(g\) are Fréchet differentiable functionals on a Hilbert space \(H\). A particular case of (1) is a linear equation \(Au = \lambda u\) where \(A\) is a weakly continuous selfadjoint linear operator on \(H\).
openaire   +1 more source

Lax Pairs for BKM Hierarchy

Studies in Applied Mathematics, Volume 157, Issue 3, September 2026.
ABSTRACT We construct Lax pairs for the recently (2023) introduced integrable PDE systems known as the BKM equations. As many known and previously studied integrable systems are special cases of the BKM systems, our construction provides Lax pairs for many integrable hierarchies, including previously studied ones such as Camassa–Holm, Dullin–Gottwald ...
Andrey Yu. Konyaev, Vladimir S. Matveev
wiley   +1 more source

Equidistribution in 2‐nilpotent Polish groups and triple restricted sumsets

Journal of the London Mathematical Society, Volume 114, Issue 3, September 2026.
Abstract The aim of this paper is to establish a Ratner‐type equidistribution theorem for orbits on homogeneous spaces associated with 2$\hskip.001pt 2$‐nilpotent locally compact Polish groups under the action of a countable discrete abelian group.
Ethan Ackelsberg, Asgar Jamneshan
wiley   +1 more source

Spectral properties of a fourth-order eigenvalue problem with spectral parameter in the boundary conditions

Electronic Journal of Differential Equations, 2017
In this article we consider eigenvalue problems for fourth-order ordinary differential equation with spectral parameter in boundary conditions. We study the location of eigenvalues on the real axis, find the multiplicities of eigenvalues, investigate ...
Ziyatkhan S. Aliyev, Faiq M. Namazov
doaj  

The fast and accurate computation of eigenvalues and eigenfunctions of time-independent one-dimensional Schrödinger equations

, 2020
In this paper, we present the basic routines of the C++-program Matslise 3.0, an updated but yet restricted version of the matlab package Matslise 2.0. Matslise 3.0 currently allows the accurate, but in comparison to Matslise 2.0, faster computation of ...
Baeyens, T (via Mendeley Data)
core   +1 more source