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    • One-dimensional multiple-well oscillators: A time-dependent quantum mechanical approach

      Neetu Gupta Amlan K Roy B M Deb

      Research Articles Volume 59 Issue 4 October 2002 pp 575-583

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      https://www.ias.ac.in/article/fulltext/pram/059/04/0575-0583

    • Keywords

       

      Multiple-well oscillators; time-dependent quantum mechanics

    • Abstract

       

      Time-dependent Schrödinger equation (TDSE) is solved numerically to calculate the ground- and first three excited-state energies, expectation values 〈x2j〉, j=1, 2 …, 6, and probability densities of quantum mechanical multiple-well oscillators. An imaginary-time evolution technique, coupled with the minimization of energy expectation value to reach a global minimum, subject to orthogonality constraint (for excited states) has been employed. Pseudodegeneracy in symmetric, deep multiple-well potentials, probability densities and the effect of an asymmetry parameter on pseudodegeneracy are discussed.

    • Author Affiliations

       

      Neetu Gupta1 Amlan K Roy2 B M Deb1 3

      1. Department of Chemistry, Theoretical Chemistry Group, Panjab University, Chandigarh - 160 014, India
      2. Department of Chemistry, University of New Brunswick, Canada
      3. the Jawaharlal Nehru Centre for Advanced Scientific Research, Bangalore - 560 064, India

    • Dates

       
      Published
      October 2002
      Manuscript received
      24 June 2002

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