Results 11 to 20 of about 275,441 (25)

Solitons supported by complex PT symmetric Gaussian potentials [PDF]

Physical Review A 84, 043818 (2011), 2011
The existence and stability of fundamental, dipole, and tripole solitons in Kerr nonlinear media with parity-time symmetric Gaussian complex potentials are reported. Fundamental solitons are stable not only in deep potentials but also in shallow potentials.
arxiv   +1 more source

A Unified Treatment of Quasi-Exactly Solvable Potentials I [PDF]

unpublished (2002), 2005
A set of quasi-exactly solvable quantum mechanical potentials associated with the Poeschl-Teller potential, the generalized Poeschl-Teller potential, the Scarf potential, and the harmonic oscillator potential have been studied. Solutions of the Schroedinger equation for each potential have been determined and the eigenstates are expressed in terms of ...
arxiv  

On Potential Equations of Finite Games [PDF]

arXiv, 2015
In this paper, some new criteria for detecting whether a finite game is potential are proposed by solving potential equations. The verification equations with the minimal number for checking a potential game are obtained for the first time. Some connections between the potential equations and the existing characterizations of potential games are ...
arxiv  

Simple Woods-Saxon type form for $Ωα$ and $Ξα$ interactions using Folding Model [PDF]

, 2019
We derive a simple Woods-Saxon type form for the potentials between $Y=\Xi, \Omega$ and $\alpha$ by using a single-folding potential method, based on a separable $Y$-nucleon potential. Accordingly, the potentials $\Xi+\alpha$ and $\Omega+\alpha$ are obtained using the ESC08c Nijmegens $\Xi N$ potential (in $^{3}S_{1}$ channel) and HAL QCD ...
arxiv   +1 more source

Eigenvalue problems for the complex PT-symmetric potential V(x)= igx [PDF]

, 2006
The spectrum of complex PT-symmetric potential, $V(x)=igx$, is known to be null. We enclose this potential in a hard-box: $V(|x| \ge 1) =\infty $ and in a soft-box: $V(|x|\ge 1)=0$. In the former case, we find real discrete spectrum and the exceptional points of the potential.
arxiv   +1 more source

On symmetric primitive potentials [PDF]

arXiv, 2018
The concept of a primitive potential for the Schroedinger operator on the line was introduced in [2,3,4]. Such a potential is determined by a pair of positive functions on a finite interval, called the dressing functions, which are not uniquely determined by the potential.
arxiv  

Programmable Potentials: Approximate N-body potentials from coarse-level logic [PDF]

arXiv, 2016
This paper gives a systematic method for constructing an N-body potential, approximating the true potential, that accurately captures meso-scale behavior of the chemical or biological system using pairwise potentials coming from experimental data or ab initio methods. The meso-scale behavior is translated into logic rules for the dynamics.
arxiv  

Supersymmetric quantum mechanics based on higher excited states II: a few examples of isospectral partner potentials [PDF]

arXiv, 1997
We apply the generalized formalism and the techniques of the supersymmetric (susy) quantum mechanics to the cases where the superpotential is generated/defined by higher excited eigenstates (Robnik 1997, paper I). The generalization is technically almost straightforward but physically quite nontrivial since it yields an infinity of new classes of susy ...
arxiv  

A Unified Treatment of Quasi-Exactly Solvable Potentials II: Eckart Type Potentials [PDF]

Unpublished (2002), 2005
This work continues to study the set of quasi exactly solvable potentials related to the Eckart, Hult\'{e}n, Rosen-Morse, Coulomb and the harmonic oscillator potentials. We solve the Schr\"{o}dinger equation for each potential and obtain the eigenvalues and eigenstates in terms of the orthogonal polynomials.
arxiv  

Quantum Stationary Hamilton Jacobi Equation in 3-D for symmetrical potentials. Introduction of the Spin [PDF]

arXiv, 2001
We establish the quantum stationary Hamilton-Jacobi equation in 3-D and its solutions for three symmetrical potentials, Cartesian symmetry potential, spherical symmetry potential and cylindrical symmetry potential. For the two last potentials, a new interpretation of the Spin is proposed within the framework of trajectory representation.
arxiv