Invariant Indentities in the Heisenberg Algebra

Details Invariant Indentities in the Heisenberg Algebra Invariant Indentities in the Heisenberg Algebra

1994-10-18

arxiv.org/abs/hep-th/9410128v1

Physics

High Energy Physics

High Energy Physics - Theory

6pp., LaTeX

Scientific paper

Polynomial relations between the generators of $q$--deformed Heisenberg algebra invariant under the quantization and $q$-deformation are discovered. One of the examples of such relations is the following: if two elements $a$ and $b$, obeying the relation \[ ab - q ba = p, \] where $p, q$ are any complex numbers, then for any $p,q$ and natural $n$ \[ (aba)^n = a^n b^n a^n \]

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