On the construction of a pseudo-Hermitian quantum system with a pre-determined metric in the Hilbert space

@article{Ghosh2009OnTC,
  title={On the construction of a pseudo-Hermitian quantum system with a pre-determined metric in the Hilbert space},
  author={Pijush K. Ghosh},
  journal={Journal of Physics A: Mathematical and Theoretical},
  year={2009},
  volume={43},
  pages={125203}
}
  • P. K. Ghosh
  • Published 10 August 2009
  • Physics, Mathematics
  • Journal of Physics A: Mathematical and Theoretical
A class of pseudo-Hermitian quantum system with an explicit form of the positive-definite metric in the Hilbert space is presented. The general method involves a realization of the basic canonical commutation relations defining the quantum system in terms of operators that are Hermitian with respect to a pre-determined positive-definite metric in the Hilbert space. Appropriate combinations of these operators result in a large number of pseudo-Hermitian quantum systems admitting entirely real… 

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