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Davydov-Chaban Hamiltonian for \(\gamma = 30^{\circ}\) and time-dependent interaction

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Abstract.

In this article, the Davydov-Chaban Hamiltonian for collective motion of atomic nuclei by considering the rigidity at \(\gamma=30^{\circ}\) with a time-dependent interaction has been studied. Throughout this article, the Lewis-Riesenfeld dynamical invariant method has been used, that enables us to derive the wave function of our considered system which has explicit time dependence. Derivation of the Lewis-Riesenfeld dynamical invariant has been mentioned in detail. After deriving the eigen values and functions, the wave functions have been derived according to the eigen functions of the Lewis-Riesenfeld dynamical invariant. Some discussions about our results have been done in the last part of this paper.

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Authors and Affiliations

  1. Physics Department, Shahrood University of Technology, Shahrood, Iran

    Hadi Sobhani & Hassan Hassanabadi

Authors
  1. Hadi Sobhani
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  2. Hassan Hassanabadi
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Correspondence to Hadi Sobhani.

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Sobhani, H., Hassanabadi, H. Davydov-Chaban Hamiltonian for \(\gamma = 30^{\circ}\) and time-dependent interaction. Eur. Phys. J. Plus 132, 351 (2017). https://doi.org/10.1140/epjp/i2017-11612-8

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  • DOI: https://doi.org/10.1140/epjp/i2017-11612-8

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