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Extended Hamilton's principle
Extended Hamilton's principle Mathematical Physics
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2012/4/18
Hamilton's principle is extended to have compatible initial conditions to the strong form. To use a number of computational and theoretical benefits for dynamical systems, the mixed variational formul...
Absence of bound states implies non-negativity of the scattering length
Absence of bound states non-negativity of the scattering length Mathematical Physics
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2012/4/18
We show that bosons interacting via pair potentials with negative scattering length form bound states for a suitable number of particles. In other words, the absence of many-particle bound states of a...
Efficient computation of the Zassenhaus formula
Efficient computation Zassenhaus formula Mathematical Physics
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2012/4/18
A new recursive procedure to compute the Zassenhaus formula up to high order is presented, providing each exponent in the factorization directly as a linear combination of independent commutators and ...
On the Complete Integrability of a One Generalized Riemann Type Hydrodynamic System
Lax type integrability Riemann type hydrodynamic system symplectic method differential-algebraic approach
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2012/4/26
The complete integrability of a generalized Riemann type hydrodynamic system is studied by means of symplectic and differential-algebraic tools. A compatible pair of polynomial Poissonian structures, ...
Spinor formalism and the geometry of six-dimensional Riemannian spaces
Spinor formalism geometry six-dimensional Riemannian spaces Mathematical Physics
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2012/4/17
The article consists of the Russian and English variants of Ph.D. Thesis in which the answers is given on the following questions.
The Proof of Innocence
Proof of Innocence Popular Physics Statistics and Probability
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2012/4/19
A way to fight your traffic tickets. The paper was awarded a special prize of $400 that the author did not have to pay to the state of California.
Helicity -- from Clifford to Graphene
Helicity Clifford Graphene Mathematical Physics
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2012/4/17
We investigate two seemingly disjoint definitions of helicity, one commonly used in particle physics, the other one used when studying bilinear covariants of Clifford algebras. We can prove that the `...
On the Rigorous Derivation of the 3D Cubic Nonlinear Schr鰀inger Equation with A Switchable Quadratic Trap
Gross-Pitaevskii Hierarchy Switchable Quadratic Trap Collapsing Estimate Klainerman-Machedon Board Game and Space-time Bound
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2012/4/17
We consider the dynamics of the 3D N-body Schr\"odinger equation in the presence of a switchable quadratic trap. We assume the pair interaction potential is N^{3{\beta}-1}V(N^{{\beta}}x). We justify t...
The J/Ψ meson and the missing heavy baryon octet
J/Ψ meson the missing heavy baryon octet General Physics
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2012/4/19
The 5D homogeneous space-time projection theory produces the Gell-Mann standard model, and the gluon fields together with quantum gauge constraint which is responsible for the major portion of the had...
Iterative Solution of Maxwell's Equations for an Induction Motor
Iterative Solution of Maxwell's Equations Induction Motor General Physics
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2012/4/19
In this work we use classical electromagnetism to analyse a three-phase induction motor. We first cast the motor as a boundary value problem involving two phenomenological time-constants. These are de...
On a fractional quantum potential
fractional quantum potential Mathematical Physics
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2012/6/21
We use the fractional calculus of Kobelev to produce a fractional quantum potential for a corresponding Schrodinger type equation.
The Jacobi last multiplier for difference equations
Jacobi Last Multiplier first order lineal partial differential difference equations
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2012/2/29
We present a discretization of the Jacobi last multiplier, with some applications to the computation of solutions of difference equations.
On quantum Huygens principle and Rayleigh scattering
quantum Huygens principle Rayleigh scattering ionization
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2012/2/29
We prove several minimal photon velocity estimates below the ionization threshold for a particle system coupled to the quantized electromagnetic or phonon field. Using some of these results, we prove ...
Covariant Mickelsson-Faddeev extensions of gauge and diffeomorphism algebras
Covariant Mickelsson-Faddeev extensions of gauge diffeomorphism algebras Mathematical Physics
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2012/5/31
We construct new extensions of current and diffeomorphism algebras in N>3 dimensions, which are related to the Mickelsson-Faddeev algebra. The result is compatible with Dzhumadil'daev's classification...
随机Logistic模型的稳态关联函数
关联噪声 Logistic模型 稳态关联函数
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2012/11/6
针对2个Gauss白噪声驱动的Logistic模型,研究了噪声间的关联效应对稳态关联函数的影响.利用Stratonovich近似解耦,得到了随机Logistic模型的稳态关联函数和相应的衰减速率.经过数值计算,结果表明:噪声的负关联效应不会破坏原有的稳态关联函数的变化趋势,但使得稳态关联函数的衰减加速,而噪声的正关联效应会导致稳态关联函数衰减出现慢化.