The Maxwell operator on q-Minkowski space and q-hyperboloid algebras

نویسندگان
چکیده

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Maxwell operator on q-Minkowski space and q-hyperboloid algebras

We introduce an analog of the Maxwell operator on a q-Minkowski space algebra (treated as a particular case of the so-called Reflection Equation Algebra) and on certain of its quotients. We treat the space of ”quantum differential forms” as a projective module in the spirit of the Serre-Swan approach. Also, we use ”braided tangent vector fields” which are q-analogs of Poisson vector fields asso...

متن کامل

Differential calculus on q - Minkowski space 1

We wish to report here on a recent approach [1] to the non-commutative calculus on q-Minkowski space which is based on the reflection equations (RE) with no spectral parameter. These are considered as the expression of the invariance (under the coaction of the q-Lorentz group) of the commutation properties which define the different q-Minkowski algebras. This approach also allows us to discuss ...

متن کامل

Wave equations on q-Minkowski space

We give a systematic account of the exterior algebra of forms on q-Minkowski space, introducing the q-exterior derivative, q-Hodge star operator, q-coderivative, q-LaplaceBeltrami operator and the q-Lie-derivative. With these tools at hand, we then give a detailed exposition of the q-d’Alembert and q-Maxwell equation. For both equations we present a q-momentum-indexed family of plane wave solut...

متن کامل

BRAIDED MATRIX STRUCTURE OF q-MINKOWSKI SPACE AND q-POINCARE GROUP

We clarify the relation between the approach to q-Minkowski space of Carow-Watamura et al. with an approach based on the idea of 2 × 2 braided Hermitean matrices. The latter are objects like super-matrices but with Bose-Fermi statistics replaced by braid statistics. We also obtain new R-matrix formulae for the q-Poincaré group in this framework.

متن کامل

Q-operator and T −Q relation from the fusion hierarchy

We propose that the Baxter Q-operator for the spin-1/2 XXZ quantum spin chain is given by the j → ∞ limit of the transfer matrix with spin-j (i.e., (2j+1)-dimensional) auxiliary space. Applying this observation to the open chain with general (nondiagonal) integrable boundary terms, we obtain from the fusion hierarchy the T -Q relation for generic values (i.e. not roots of unity) of the bulk ani...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: Journal of Physics A: Mathematical and Theoretical

سال: 2008

ISSN: 1751-8113,1751-8121

DOI: 10.1088/1751-8113/41/31/315203