• L K Sharma

      Articles written in Pramana – Journal of Physics

    • Perturbation theory for large coupling constants

      Jyoti Choubey L K Sharma

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      The perturbation technique for large coupling constantsg2 is used for obtaining the solutions of Schrödinger equation for a double exponential potential. In particular the solution valid forg2e-r/2 g2e-r/2 ≫ 1, is obtained int erms of confluent hypergeometric functions. A noteworthy aspect of this application is that the procedure developed can also be used for solving certain singular potentials.

    • A new approach to peratization technique

      S V Kulkarni L K Sharma

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      The usual method of peratization technique is to expand scattering lengthA(a) in Born series in powers of the coupling constantg. In this paper a new approach to the peratization technique has been discussed starting with the standard equation for the scattering length. As an application of the theory developed, the cases of inverse fourth power and a logarithmic singular potentials have been discussed.

    • Exact solutions of Dirac equation

      S V Kulkarni L K Sharma

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      In this paper Dirac equation for two electromagnetic potentials viz vector potential and scalar potential have been solved. These solutions of the Dirac equation are written in terms of known solutions of the Schrödinger equation. The presentation is within the two-component relativistic description. Mainly the bound state solutions have been obtained.

    • Iteration approach to peratisation technique

      S V Kulkarni L K Sharma

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      Peratisation scheme normally used to obtain scattering lengtha(α) is through Born series. In this paper an iteration approach to this technique has been presented. This approach has also been applied to different potentials successfully.

    • Meson spectra with a power-law potential in the Dirac equation

      G S Sharma L K Sharma

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      A power law potential which is an equal admixture of scalar and vector parts with effective powerv ∞ 1/mq, is proposed as a quark confining potential in the Dirac equation. The model is capable of predicting the meson spectroscopy encompassing both light and heavy quark-antiquark systems in a unified way.

    • Quark potentials for mesons in the Klein-Gordon equation

      L K Sharma G S Sharma

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      Two relativistic potential models are applied to describe meson spectroscopy in a unified way, encompassing both light and heavy quark systems. A combination of linear and coulomb potentials has been investigated for Klein-Gordon equation using the WKB approximation. A power-like phenomenological potential model has also been studied in the Klein-Gordon framework. Meson masses calculated for both the potentials give a good agreement with the corresponding experimental values.

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