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A new look at the harmonic oscillator problem in a finite-dimensional Hilbert space
Authors:B Bagchi  P K Roy
Institution:

a Department of Applied Mathematics, University of Calcutta, 92 Acharya P C Road, Calcutta 700 009, India

b Department of Physics, Haldia Government College, Haldia 721 657, West Bengal, India

Abstract:In this Letter some basic properties of a truncated oscillator are studied. By using finite-dimensional representation matrices of the truncated oscillator we construct new parasupersymmetric schemes and remark on their relevance to the transition operators of the non-interacting N-level system endowed with bosonic modes.
Keywords:
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