نتایج جستجو برای: quantum spheres

تعداد نتایج: 316254  

Journal: :international journal of nonlinear analysis and applications 2011
a. bodaghi

the paper deal with non-commutative geometry. the notion of quantumspheres was introduced by podles. here we define the quantum hermitianmetric on the quantum spaces and find it for the quantum spheres.

A. Bodaghi

The paper deal with non-commutative geometry. The notion of quantumspheres was introduced by podles. Here we define the quantum hermitianmetric on the quantum spaces and find it for the quantum spheres.

1994
Kazutoshi Ohta Hisao Suzuki

We construct wave functions and Dirac operator of spin 1/2 fermions on quantum four-spheres. The construction can be achieved by the q-deformed differential calculus which is manifestly SO(5)q covariant. We evaluate the engenvalue of the Dirac operator on wave functions of the spinors and show that we can define the chiral fermions in such a way that the massless Dirac operator anti-commutes wi...

Journal: :Modern Physics Letters A 2001

2008
Elmar Wagner

Operator representations of the cross product ∗-algebra O(S2 qc)⋊Uq(su2) of the Hopf ∗-algebra Uq(su2) and its module ∗-algebras O(S2 qc) of Podles’ spheres are studied. Two classes of representations are described by explicit formulas for the actions of the generators.

2010
Takahito KURIYA Thang T. Q. Le Tomotada OHTSUKI Takahito Kuriya Tomotada Ohtsuki

We show that the perturbative g invariant of rational homology 3-spheres can be recovered from the LMO invariant for any simple Lie algebra g, i.e., the LMO invariant is universal among the perturbative invariants. This universality was conjectured in [25]. Since the perturbative invariants dominate the quantum invariants of integral homology 3-spheres [13, 14, 15], this implies that the LMO in...

Journal: :Journal of Geometry and Physics 2006

Journal: :Physical review. E, Statistical, nonlinear, and soft matter physics 2004
Jörg Main Erdinç Atilgan Howard S Taylor Günter Wunner

A genuinely three-dimensional system, viz. the hyperbolic four-sphere scattering system, is investigated with classical, semiclassical, and quantum mechanical methods at various center-to-center separations of the spheres. The efficiency and scaling properties of the computations are discussed by comparisons to the two-dimensional three-disk system. While in systems with few degrees of freedom ...

1998
Martin Welk

We study covariant differential calculus on the quantum spheres S q . A classification result for covariant first order differential ∗ calculi is proved. As an important step towards a description of the noncommutative geometry of the quantum spheres, a framework of covariant differential calculus is established, including a particular first order calculus obtained by factorization, higher orde...

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