منابع مشابه
Dirac Operators on Quantum Two Spheres
We investigate the spin 1/2 fermions on quantum two spheres. It is shown that the wave functions of fermions and a Dirac Operator on quantum two spheres can be constructed in a manifestly covariant way under the quantum group SU(2) q. The concept of total angular momentum and chirality can be expressed by using q-analog of Pauli-matrices and appropriate commutation relations.
متن کاملTwisted Dirac Operators over Quantum Spheres
We construct new families of spectral triples over quantum spheres, with a particular attention focused on the standard Podleś quantum sphere and twisted Dirac operators.
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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.
متن کاملDirac Operators on Quantum Projective Spaces
We construct a family of self-adjoint operators DN , N ∈ Z, which have compact resolvent and bounded commutators with the coordinate algebra of the quantum projective space CPq, for any ` ≥ 2 and 0 < q < 1. They provide 0-dimensional equivariant even spectral triples. If ` is odd and N = 1 2 (` + 1), the spectral triple is real with KO-dimension 2` mod 8.
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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.
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ژورنال
عنوان ژورنال: Modern Physics Letters A
سال: 1994
ISSN: 0217-7323,1793-6632
DOI: 10.1142/s0217732394002197