Results 11 to 20 of about 1,721 (102)
Lower bound for the ground state energy of the no-pair Hamiltonian [PDF]
, 1997 A lower bound for the ground state energy of a one particle relativistic Hamiltonian - sometimes called no-pair operator - is provided.Comment: 5 pages, 1 figure, 1 table, Latex2e (amssymb,amsmath ...
Bethe +15 more
core +2 more sources
On representations of Lie algebras of a generalized Tavis‐Cummings model
Journal of Applied Mathematics, Volume 2003, Issue 1, Page 55-64, 2003., 2003 Consider the Lie algebras Lr,t s:[K1,K2]=sK3, [K3, K1] = rK1, [K3, K2] = −rK2, [K3, K4] = 0, [K4, K1] = −tK1, and [K4, K2] = tK2, subject to the physical conditions, K3 and K4 are real diagonal operators representing energy, K2=K1†, and the Hamiltonian H = ω1K3 + (ω1 + ω2)K4 + λ(t)(K1eiΦ + K2eiΦ) is a Hermitian operator.
L. A. M. Hanna
wiley +1 more source
Nonautonomous Klein–Gordon–Maxwell systems in a bounded domain
Advances in Nonlinear Analysis, 2014 This paper deals with the Klein–Gordon–Maxwell system in a bounded spatial domain with a nonuniform coupling. We discuss the existence of standing waves in equilibrium with a purely electrostatic field, assuming homogeneous Dirichlet boundary conditions ...
d'Avenia Pietro +2 more
doaj +1 more source
Advanced Nonlinear Studies, 2021 We investigate the ground states of 3-component Bose–Einstein condensates with harmonic-like trapping potentials in ℝ2{\mathbb{R}^{2}}, where the intra-component interactions μi{\mu_{i}} and the inter-component interactions βij=βji{\beta_{ij}=\beta_{ji}
Kong Yuzhen, Wang Qingxuan, Zhao Dun
doaj +1 more source
On the method of pseudopotential for Schrödinger equation with nonlocal boundary conditions
Abstract and Applied Analysis, Volume 6, Issue 6, Page 329-338, 2001., 2001 For stationary Schrödinger equation in ℝ n with the finite potential the singular pseudopotential is constructed in the form allowing us to find wave functions. The method does not require the knowledge of the explicit form of a potential and assumes only knowledge of the scattering amplitude for fixed level of energy.
Yuriy Valentinovich Zasorin
wiley +1 more source
Well-posedness for the fourth-order Schrödinger equations with quadratic nonlinearity
Advances in Differential Equations, 2011 This paper is concerned with 1-D quadratic semilinear fourth-order Schrödinger equations. Motivated by the quadratic Schrödinger equations in the pioneer work of Kenig-Ponce-Vega [12], three bilinearities uv, uv, uv for functions u, v : R× [0, T ] 7→ C ...
Jiqiang Zheng
semanticscholar +1 more source
Remarks on the blow-up for the Schr\ [PDF]
, 2004 In this paper we concentrate on the analysis of the critical mass blowing-up solutions for the cubic focusing Schrodinger equation with Dirichlet boundary condi- tions, posed on a plane domain.
V. Banica
semanticscholar +1 more source
On a logarithmic Hartree equation
Advances in Nonlinear Analysis, 2019 We study the existence of radially symmetric solutions for a nonlinear planar Schrödinger-Poisson system in presence of a superlinear reaction term which doesn’t satisfy the Ambrosetti-Rabinowitz condition. The system is re-written as a nonlinear Hartree
Bernini Federico, Mugnai Dimitri
doaj +1 more source
Multiplicity and concentration results for magnetic relativistic Schrödinger equations
Advances in Nonlinear Analysis, 2019 In this paper, we consider the following magnetic pseudo-relativistic Schrödinger ...
Xia Aliang
doaj +1 more source
A quantum route to Hamilton–Jacobi equation: comments and remarks
, 2016 We consider the short-wave limit of evolutionary wave equations to derive the Hamilton–Jacobi equation. In particular we consider how to get wave mechanics from the abstract picture on Hilbert spaces.
J. Cariñena +4 more
semanticscholar +1 more source