Deformed Heisenberg algebra: origin of q-calculus

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

R-deformed Heisenberg algebra

It is shown that the deformed Heisenberg algebra involving the reflection operator R (Rdeformed Heisenberg algebra) has finite-dimensional representations which are equivalent to representations of paragrassmann algebra with a special differentiation operator. Guon-like form of the algebra, related to the generalized statistics, is found. Some applications of revealed representations of the R-d...

متن کامل

Deformed Heisenberg algebra with reflection

A universality of deformed Heisenberg algebra involving the reflection operator is revealed. It is shown that in addition to the well-known infinite-dimensional representations related to parabosons, the algebra has also finite-dimensional representations of the parafermionic nature. We demonstrate that finite-dimensional representations are representations of deformed parafermionic algebra wit...

متن کامل

Braided Chains of q-Deformed Heisenberg Algebrae

Given M copies of a q-deformed Weyl or Clifford algebra in the defining representation of a quantum group Gq, we determine a prescription to embed them into a unique, inclusive Gq-covariant algebra. The different copies are “coupled” to each other and are naturally ordered into a “chain”. In the case Gq = SLq(N) a modified prescription yields an inclusive algebra which is even explicitly SLq(M)...

متن کامل

Dirac Oscillator via R-deformed Heisenberg Algebra

The complete energy spectrum for the Dirac oscillator via R-deformed Heisenberg algebra is investigated. PACS numbers: 11.30.Pb, 03.65.Fd, 11.10.Ef. To appear in the proceedings at the XXIII Brazilian National Meeting on Particles and Fields, October 15 to 19, 2002, Águas de Lindóia-SP, Brazil, site www.sbf1.if.usp.br/eventos/enfpc/xxiii.

متن کامل

q-deformed Lie algebras and fractional calculus

Fractional calculus and q-deformed Lie algebras are closely related. Both concepts expand the scope of standard Lie algebras to describe generalized symmetries. For the fractional harmonic oscillator, the corresponding q-number is derived. It is shown, that the resulting energy spectrum is an appropriate tool e.g. to describe the ground state spectra of even-even nuclei. In addition, the equiva...

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: Physica A: Statistical Mechanics and its Applications

سال: 2003

ISSN: 0378-4371

DOI: 10.1016/s0378-4371(03)00518-1