The interactive behaviors between transverse magnetic fields and axial loads of a magnetoelastic ME beam subjected to general boundary conditions are investigated. In particular, the instability criterion for the magneto-mechanical buckling problem is intricately discussed based on the structure characteristics and the initial conditions. The equation of motion for the proposed physical model i...

We present the theories used in solid-state nuclear magnetic resonance and the expansion schemes used as numerical integrators for solving the time dependent Schrodinger Equation. We highlight potential future theoretical and numerical directions in solid-state nuclear magnetic resonancesuch as the Chebychev expansion and the transformation of Cayley.

Quantum Monte Carlo estimates of the spectrum of rotationally invariant states of noble gas clusters suggest interdimensional degeneracy in N-1 and N+1 spatial dimensions. We derive this property by mapping the Schrodinger eigenvalue problem onto an eigenvalue equation in which D appears as a continuous variable. We discuss implications for quantum Monte Carlo and dimensional scaling methods.

A coherent atomic beam splitter can be realized using the transient dynamics of a chaotic system. We have experimentally observed such an effect using ultracold rubidium atoms. Our experimental results are in good agreement with numerical simulations of the Schrodinger equation for the system.

One of the most basic applications of quantum mechanics is the study of a two body system with a spherically symmetric interaction. This problem is characterized simply by giving the mass of each particle as well as the inter-particle potential V (r) which is a function of the inter-particle separation only. This problem can be reduced in a straightforward way to a simpler one particle problem ...

We formulate the energy conversion efficiency from a high-order soliton to fundamental solitons by including influence of interpulse Raman scattering in fission process. The proposed analytical formula agrees closely with numerical results generalized nonlinear Schrodinger equation as well experimental results, while resulting formulation significantly alters predicted Raman-independent inverse...

In scientific machine learning, regression networks have been recently applied to approximate solution maps (e.g., the potential-ground state map of Schrodinger equation). this paper, we aim...

We prove the existence and uniqueness of smooth solutions with large initial data for a system equations modeling interaction short waves, governed by nonlinear Schrodinger equation, an...