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    • Differential realizations of the two-mode bosonic and fermionic Hamiltonians: A unified approach

      Hayriye Tütüncüler Ramazan Koç

      Volume 62 Issue 5 May 2004 pp 993-1005

    • Fulltext

       

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      https://www.ias.ac.in/article/fulltext/pram/062/05/0993-1005

    • Keywords

       

      Matrix Hamiltonians; Lie algebra; boson fermion

    • Abstract

       

      A method is developed to determine the eigenvalues and eigenfunction of two-boson 2 × 2 matrix Hamiltonians that include a wide class of quantum optical models. The quantum Hamiltonians are transformed in the form of the one variable differential equation and the conditions for their solvability are discussed. We present two different transformation procedures and we show our approach unify various approaches based on Lie algebraic technique. As an application, solutions of the modified Jaynes-Cummings and two-level Jahn-Teller Hamiltonians are studied.

    • Author Affiliations

       

      Hayriye Tütüncüler1 Ramazan Koç1

      1. Department of Physics, Faculty of Engineering, University of Gaziantep, Gaziantep - 27310, Turkey

    • Dates

       
      Published
      May 2004
      Manuscript received
      8 July 2003
      Manuscript revised
      30 March 2004
      Accepted
      1 April 2004

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