TITLE

Quantum random walk for U[sub q](su)(2)) and a new example of quantum noise

AUTHOR(S)
Lenczewski, Romuald
PUB. DATE
May 1996
SOURCE
Journal of Mathematical Physics;May96, Vol. 37 Issue 5, p2260
SOURCE TYPE
Academic Journal
DOC. TYPE
Article
ABSTRACT
Studies the quantum random walk for the Hopf algebra U[sub q](su(2)). Central limit theorem for sample sums of the algebra; Convergence of finite joint correlations for the sample sums; Framework for the general theory of quantum noise on graded bioalgebras.
ACCESSION #
4247252

 

Related Articles

  • A noncommutative Hopf structure on C[sup infinity][SL(2,)] as a quantum Lorentz group. Martin, Christiane; Zouagui, Mohamed // Journal of Mathematical Physics;Jul96, Vol. 37 Issue 7, p3611 

    Examines a classical Frechet Hopf algebra containing the quantum deformation of the enveloping Lorentz algebra. Isomorphic characteristics to quasitriangular twisted topological sensor product Hopf algebra; Topological dual space.

  • Sub-Hopf-algebra-induced twists of quantum enveloping algebras. Engeldinger, Ralf A.; Kempf, Achim // Journal of Mathematical Physics;Apr94, Vol. 35 Issue 4, p1931 

    It is shown that a quasitriangular Hopf algebra can be twisted by the universal R-matrix of any quasitriangular sub-Hopf algebra and examples are given of R-matrices of quantum groups obtained this way.

  • Mapping Class Group Representations and Generalized Verlinde Formula. Bántay, Peter; Vecsernyés, Peter // International Journal of Modern Physics A: Particles & Fields; G;4/10/99, Vol. 14 Issue 9, p1325 

    Unitary representations of centrally extended mapping class groups &Mtilde;[sub g,1], g ≥ 1 are given in terms of a rational Hopf algebra H, and a related generalization of the Verlinde formula is presented. Formulae expressing the traces of mapping class group elements in terms of the...

  • On the addition of quantum matrices. Majid, S. // Journal of Mathematical Physics;May94, Vol. 35 Issue 5, p2617 

    An addition law is introduced for the usual quantum matrices A(R) by means of a coaddition Δt=t⊗l+l⊗t. It supplements the usual comultiplication Δt=t⊗t. and together they obey a codistributivity condition. The coaddition does not form a usual Hopf algebra but a braided...

  • The twisted Heisenberg algebra U[sub h, w](H(4)). Abdesselam, Boucif // Journal of Mathematical Physics;Dec97, Vol. 38 Issue 12, p6045 

    Analyzes parametric deformations of the enveloping Heisenberg algebra that appears as a combination of the standard and nonstandard quantization. Mathematical proof of its existence as a Ribbon Hopf algebra; Universal matrices of the Heiseberg algebra; Solution of the Braid group; Parameters of...

  • Quantum deformations of nonsemisimple algebras: The example of D=4 inhomogeneous rotations. Lukierski, Jerzy; Ruegg, Henri; Nowicki, Anatol // Journal of Mathematical Physics;May94, Vol. 35 Issue 5, p2607 

    A general class of deformations of the complexified D=4 Poincaré algebra O(3,1;C)...T[sub 4](C) is considered with a classical (undeformed) subalgebra 0(3;C)...T[sub 4](C) and deformed relations preserving the O(3;C) tensor structure. We distinguish the class of quantum...

  • A new quasitriangular Hopf algebra as the nontrivial quantum double of a simplest C algebra and its universal R matrix for Yang–Baxter equation. Sun, Chang-Pu; Liu, Xu-Feng; Ge, Mo-Lin // Journal of Mathematical Physics;Mar1993, Vol. 34 Issue 3, p1218 

    Endowing a simple C algebra generated by two commuting elements and a unit with a noncocommutative Hopf algebra structure, a new quantum double and the corresponding universal R matrix for the Yang–Baxter equation is constructed. The finite-dimensional representations of the quantum...

  • The realizations of quantum groups of An-1 and Cn types in q-deformed oscillator systems at classical and quantum levels. Chang, Zhe; Wang, Jian-Xiong; Yan, Hong // Journal of Mathematical Physics;Dec91, Vol. 32 Issue 12, p3241 

    In the classical q-deformed oscillators system, the Poisson bracket realizations of the quantum enveloping algebras of An-1 and Cn types are given in the symplectic space (V,Ω) (without deformation). When the oscillators system is canonically quantized, the Lie bracket realizations of the...

  • Differential Hopf algebra structure of the quantum standard complex. Drabant, Bernhard // Journal of Mathematical Physics;May97, Vol. 38 Issue 5, p2652 

    Studies the quantum standard complex (K(q,g),d) of the quantum enveloping algebra for Lie algebras. Quantum version of the standard Koszul complex associated to a Lie algebra; Differential Hopf algebra structure of the complex obtained from the theory of braided monoidal categories.

Share

Read the Article

Courtesy of THE LIBRARY OF VIRGINIA

Sorry, but this item is not currently available from your library.

Try another library?
Sign out of this library

Other Topics