대한수학회보 (Bulletin of the Korean Mathematical Society)

  • 제43권1호
  • /
  • Pages.53-62
  • /
  • 2006
  • /
  • 1015-8634(pISSN)
  • /
  • 2234-3016(eISSN)
대한수학회 (Korean Mathematical Society)
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ON A q-FOCK SPACE AND ITS UNITARY DECOMPOSITION

  • Ji, Un-Cig (DEPARTMENT OF MATHEMATICS, RESEARCH INSTITUTE OF MATHEMATICAL FINANCE, CHUNGBUK NATIONAL UNIVERSITY) ;
  • Kim, Young-Yi (DEPARTMENT OF MATHEMATICS, CHUNGBUK NATIONAL UNIVERSITY)
  • 발행 : 2006.02.01
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초록

A Fock representation of q-commutation relation is studied by constructing a q-Fock space as the space of the representation, the q-creation and q-annihilation operators (-1 < q < 1). In the case of 0 < q < 1, the q-Fock space is interpolated between the Boson Fock space and the full Fock space. Also, a unitary decomposition of the q-Fock space $(q\;{\neq}\;0)$ is studied.

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참고문헌

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