English

Hopf algebras of canonical commutation relations

Quantum Physics 2007-05-23 v1 High Energy Physics - Theory Mathematical Physics math.MP

Abstract

Given a Heisenberg algebra A of canonical commutation relations modelled over an infinite-dimensional nuclear space, a Hopf algebra of its quantum deformations is also an algebra of canonical commutation relations whose Fock representation recovers some non-Fock representation of A.

Keywords

Cite

@article{arxiv.quant-ph/0209066,
  title  = {Hopf algebras of canonical commutation relations},
  author = {G. Sardanashvily},
  journal= {arXiv preprint arXiv:quant-ph/0209066},
  year   = {2007}
}

Comments

8 pages

R2 v1 2026-07-22T19:36:19.893Z