Results 11 to 20 of about 830 (79)
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
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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
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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
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Heat-flow monotonicity of Strichartz norms [PDF]
, 2008 Most notably we prove that for $d=1,2$ the classical Strichartz norm $$\|e^{i s\Delta}f\|_{L^{2+4/d}_{s,x}(\mathbb{R}\times\mathbb{R}^d)}$$ associated to the free Schr\"{o}dinger equation is nondecreasing as the initial datum $f$ evolves under a certain ...
Bennett, Jonathan +3 more
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Quantum Super-Integrable Systems as Exactly Solvable Models [PDF]
, 2007 We consider some examples of quantum super-integrable systems and the associated nonlinear extensions of Lie algebras. The intimate relationship between super-integrability and exact solvability is illustrated.
Fordy, Allan P.
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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
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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
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Cosmography and constraints on the equation of state of the Universe in various parametrizations [PDF]
, 2012 We use cosmography to present constraints on the kinematics of the Universe, without postulating any underlying theoretical model. To this end, we use a Monte Carlo Markov Chain analysis to perform comparisons to the supernova Ia Union 2 compilation ...
Alejandro Aviles +5 more
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Blending Brownian motion and heat equation
, 2015 In this short communication we present an original way to couple the Brownian motion and the heat equation. More in general, we suggest a way for coupling the Langevin equation for a particle, which describes a single realization of its trajectory, with ...
Cristiani, Emiliano
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