• D K Roy

      Articles written in Pramana – Journal of Physics

    • On the theory of electron tunnelling

      D K Roy N S T Sai K N Rai

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      A generalized expression for the differntial tunnelling current density based on the problem of electron energy distribution introduced during the process has been presented. This is directly applicable to junction devices for the evaluation of their tunnelling I–V characteristics.

    • Quantum mechanical tunnelling

      D K Roy

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      It was shown earlier that during quantum mechanical tunnelling, a microscopic particle has a distributed probability of emission about its original energy and is not constrained to be field-emitted only at its initial energy. Such an energy distribution process appears obvious on the quantum theory of observation and measurement which relates the energy of a microscopic particle with the time required for its determination through the Heisenberg’s uncertainty relation. Here, an account of the tunnelling theory based upon the latter is presented. The consequent analysis gives rise to a spectrum in the energy of the transmitted electrons and also yields a method to estimate the tunnelling time as well as the tunnelling current density across an arbitrary barrier.

    • On the measurement of electron tunnelling time

      D K Roy Amitabh Ghosh

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      A suggestion to experimentally measure the electron tunnelling time by observing the tunnelling current cut-off as a function of the magnetic field intensity in semiconductor pn tunnel junctions, when they are placed in a crossed electric and magnetic field configuration, has been made in this paper. A simple and a rigorous quantum mechanical analysis to justify the above proposition have been presented. An order of agreement between the tunnelling time values derived from the published experimental data and our theoretical prediction has been noticed.

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