搜索结果: 1-15 共查到“数学物理 Potential”相关记录24条 . 查询时间(0.055 秒)
Role of chemical potential in relaxation of faceted crystal structure
chemical potential relaxation faceted crystal structure
2015/10/16
Below the roughening transition, crystal surfaces have macroscopic plateaus, facets, whose evolution is driven by the microscale dynamics of steps. A long-standing puzzle was how to reconcile discrete...
Localization for quasi-periodic Schrodinger operators with dynamics defined by the skew-shift and potential in a Gevrey-class
Mathematical Physics Spectral Theory dynamics quasi-periodic Schrodinger operators
2012/4/16
We consider the discrete one-dimensional Schr\"{o}dinger operator with quasi-periodic potential $v_n := \lambda v (\shift^n \, \xx)$, where $\shift : \T^2 \rightarrow \T^2, \, \shift \xx := (x_1+x_2, ...
We use the fractional calculus of Kobelev to produce a fractional quantum potential for a corresponding Schrodinger type equation.
Lie-algebraic interpretation of the maximal superintegrability and exact solvability of the Coulomb-Rosochatius potential in n dimensions
Lie-algebraic interpretation the Coulomb-Rosochatius n dimensions Mathematical Physics
2011/9/20
Abstract: The potential group method is applied to the n-dimensional Coulomb-Rosochatius potential, whose bound states and scattering states are worked out in detail. As far as scattering is concerned...
On the determinant formula in the inverse scattering procedure with a partially known steplike potential
Marchenko inverse scattering Schrodinger operator Titchmarsh-Weyl m− function
2011/9/13
Abstract: We are concerned with the inverse scattering problem for the full line Schr\"odinger operator $-\partial_x^2+q(x)$ with a steplike potential $q$ a priori known on $\Reals_+=(0,\infty)$. Assu...
Discrete Schrodinger operators with random alloy-type potential
multiscale analysis fractional moment method Cartan’s Theorem localization discrete alloy-type model non-monotone
2011/9/6
Abstract: We review recent results on localization for discrete alloy-type models based on the multiscale analysis and the fractional moment method, respectively. The discrete alloy-type model is a fa...
Saari's homographic conjecture for planar equal-mass three-body problem under a strong force potential
Saari's homographic conjecture planar equal-mass three-body problem Mathematical Physics
2011/9/1
Abstract: Donald Saari conjectured that the $N$-body motion with constant configurational measure is a motion with fixed shape. Here, the configurational measure $\mu$ is a scale invariant product of ...
Pluri-potential theory on Grauert tubes of real analytic Riemannian manifolds, I
Pluri-potential theory Grauert tubes analytic Riemannian manifolds
2011/8/24
Abstract: We develop analogues for Grauert tubes of real analytic Riemannian manifolds (M,g) of some basic notions of pluri-potential theory, such as the Siciak extremal function. The basic idea is to...
Orthogonal polynomials in the normal matrix model with a cubic potential
Orthogonal polynomials the normal matrix model Classical Analysis and ODEs
2011/7/27
Orthogonal polynomials in the normal matrix model with a cubic potential.
Novel Bound States Treatment of the Two Dimensional Schrodinger Equation with Pseudocentral Plus Multiparameter Noncentral Potential
Pseudocentral potentials noncentral potential two dimensional Schrodinger equation
2011/7/28
Abstract: By converting the rectangular basis potential V(x,y) into the form as V(r)+V(r, phi) described by the pseudo central plus noncentral potential, particular solutions of the two dimensional Sc...
Hadamard States for the Vector Potential on Asymptotically Flat Spacetimes
Hadamard States Asymptotically Flat Spacetimes General Relativity and Quantum Cosmology
2011/7/28
Abstract: We develop a quantization scheme for the vector potential on globally hyperbolic spacetimes which realizes it as a locally covariant conformal quantum field theory. This result allows us to ...
Periodically driven dynamics of a particle moving in the field of Coulomb plus confining potential
Periodically driven dynamics a particle moving Chaotic Dynamics
2011/7/26
Abstract: Periodically driven dynamics of a particle moving in the field Coulomb plus confining potential is treated for one and three dimensional cases. Critical value of the external field strength ...
Decompositions of two player games: potential, zero-sum, and stable games
zero-sum decomposition pure strategy ESS Systems and Control
2011/7/28
Abstract: We introduce several methods of decomposition for two player normal form games. Viewing the set of all games as a vector space, we exhibit explicit orthonormal bases for the subspaces of pot...
The Lennard-Jones Potential Minimization Problem for Prion AGAAAAGA Amyloid Fibril Molecular Modeling
Lennard-Jones Potential Minimization Problem Lennard-Jones Potential Well van der Waals radii
2011/7/26
The Lennard-Jones Potential Minimization Problem for Prion AGAAAAGA Amyloid Fibril Molecular Modeling.
The Lennard-Jones Potential Minimization Problem for Prion AGAAAAGA Amyloid Fibril Molecular Modeling
Lennard-Jones Potential Minimization Problem, Lennard-Jones Potential Well, van der Waals radii
2011/9/13
The simplified Lennard-Jones (LJ) potential minimization problem is minimize f(x) = 4
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