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A review of fundamentals and physical applications of fractional quantum mechanics has been presented.
Let L → X be an ample bundle over a compact complex manifold. Fix a Hermitian metric in L whose curvature defines a Kähler metric on X.
Ruelle-Lanford functions for quantum spin systems
Ruelle-Lanford functions r quantum spin systems
2010/12/10
We prove a large deviation principle for the expectation of macroscopic observables in quantum (and classical) Gibbs states. Our proof is based on Ruelle-Lanford functions [20, 34] and direct subaddit...
Tripartite connection condition for quantum graph vertex
Schrodinger operator singular vertex boundary conditions
2010/12/16
We discuss formulations of boundary conditions in a quantum graph vertex and demonstrate that the so-called S Tform can be further reduced up to a form more effective in certain pplications: In partic...
Covariant Quantum Fields on Noncommutative Spacetimes
Covariant Quantum Fields Noncommutative Spacetimes
2010/12/16
A spinless covariant field ϕ on Minkowski spacetime Md+1 obeys the relation U(a,)ϕ(x)U(a,)−1 =ϕ(x + a) where (a,) is an element of the Poincar´e group P↑ + and U : (a,)...
Equations of motion in General Relativity and Quantum Mechanics
non-geodesic motion Dirac equation equations of motion Maxwell-Boltzmann distribution
2010/12/16
In a previous article a relationship was established between the linearized metrics of General Relativity associated with geodesics and the Dirac Equation of quantum mechanics.
Weight function for the quantum affine algebra $U_q(A_2^{(2)})$
Weight function quantum affine algebra $U_q(A_2^{(2)})$
2010/12/3
In this article, we give an explicit formula for the universal weight function of the quantum
twisted affine algebra Uq(A(2)2 ). The calculations use the technique of projecting products of
Drinfeld...
Two-parameter families of quantum symmetry groups
Quantum symmetry groups quantum isometry groups liberation
2010/12/13
We introduce and study natural two-parameter families of quan-tum groups motivated on one hand by the liberations of classical orthogonal groups and on the other by quantum isometry groups of the dual...
Physical considerations strongly indicate that spacetime at Planck scales is noncommutative. A popular model for such a spacetime is the Moyal plane. The Poincare group algebra acts on it with a Drin...
Electromagnetic Excitations of A_n Quantum Hall Droplets
Electromagnetic Excitations A_n Quantum Hall Droplets
2010/12/16
The classical description of An internal degrees of freedom is given by making use of the Fock–Bargmann analytical realization. The symplectic deformation of phase space, including the internal degree...
Supersymmetrical Separation of Variables in Two-Dimensional Quantum Mechanics
supersymmetry separation of variables integrability solvability
2010/12/13
Two different approaches are formulated to analyze two-dimensional quantum models which are not amenable to standard separation of variables. Both methods are essentially based on supersymmetrical sec...
The gravity of light
gravity light
2010/12/16
The light can be source of gravitational waves belonging to a large class of exact solutions of Ein-stein eld equations which are invariant for a non-Abelian 2-dimensional Lie algebra of Killing eld...
Nonlocal Phases of Local Quantum Mechanical Wavefunctions in Static and Time-Dependent Aharonov-Bohm Experiments
Nonlocal Phases Local Quantum Mechanical Wavefunctions Static
2010/12/15
We show that the standard Dirac phase factor is not the only solution of the gauge ransformation equations. The full form of a general gauge function (that connects systems that move in different sets...
k-超正则函数及其相关函数的性质
k-超正则函数 k -超调和函数 开拓定理 唯一性定理 k -超正则函数的 P 部和 Q 部
2009/10/22
给出了k -超正则函数的开拓定理和唯一性定理，由唯一性定理证明了超正则函数列的内闭一致收敛性; 由k -超正则函数的P 部和Q 部满足的两个微分方程，讨论了此方程与k -超正则函数及其相关函数的关系.
实Clifford分析中的拟Bochner Martinelli型高阶奇异 积分
实Clifford分析 拟Bochner Martinelli型高阶奇异积分 Hadamard主值
2009/10/21
该文借助于高阶奇异积分的Hadmard主值思想以及归纳法思想讨论了实Clifford分析中拟Bochner Martinelli型高阶奇异积分Hadmard主值的存在性、递推公式、计算公式,以及在Hadamard主值意义下的微分公式.