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Prog. Theor. Phys. Vol. 109 No. 5 (2003) pp. 875-879

[ Full Text PDF : FREE ACCESS (73K) ]

Letters

On the Boson Number Operator in the Deformed Boson Scheme

Atsushi Kuriyama,1 Constança Providência,2 João da Providência,2 Yasuhiko Tsue3 and Masatoshi Yamamura1

1Faculty of Engineering, Kansai University, Suita 564-8680, Japan
2Departamento de Fisica, Universidade de Coimbra, P-3000 Coimbra, Portugal
3Physics Division, Faculty of Science, Kochi University, Kochi 780-8520, Japan

(Received January 28, 2003)

Abstract:

Concerning the Hamiltonian of a harmonic oscillator, a prescription is proposed for making the original form unchanged even after a q-deformation. The applicability of the prescription is limited, but it can be applied to various cases which are well known.


URL : http://ptp.ipap.jp/link?PTP/109/875/
DOI : 10.1143/PTP.109.875

[ Full Text PDF : FREE ACCESS (73K) ] Citation:

References:

  1. A. Kuriyama, C. Providência, J. da Providência, Y. Tsue and M. Yamamura, Prog. Theor. Phys. 106 (2001), 751[PTP]; ibid. 106 (2001), 765[PTP]; ibid. 107 (2002), 65[PTP]; ibid. 107 (2002), 1273[PTP]; ibid. 107 (2002), 1279[PTP]; ibid. 108 (2002), 323[PTP]; ibid. 108 (2002), 783[PTP].
  2. A. Kuriyama, C. Providência, J. da Providência, Y. Tsue and M. Yamamura, Prog. Theor. Phys. 107 (2002), 443[PTP].
  3. A. Kuriyama, C. Providência, J. da Providência, Y. Tsue and M. Yamamura, Prog. Theor. Phys. 109 (2003), 77[PTP].
  4. K. A. Penson and A. I. Solomon, J. Math. Phys. 40 (1999), 2354[CrossRef].

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