• K V S Shiv Chaitanya

      Articles written in Pramana – Journal of Physics

    • Stieltjes electrostatic model interpretation for bound state problems

      K V S Shiv Chaitanya

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      In this paper, it is shown that Stieltjes electrostatic model and quantum Hamilton Jacobi formalism are analogous to each other. This analogy allows the bound state problem to mimic as 𝑛 unit moving imaginary charges $i\hbar$, which are placed in between the two fixed imaginary charges arising due to the classical turning points of the potential. The interaction potential between 𝑛 unit moving imaginary charges $i\hbar$ is given by the logarithm of the wave function. For an exactly solvable potential, this system attains stable equilibrium position at the zeros of the orthogonal polynomials depending upon the interval of the classical turning points.

    • Exceptional polynomials and SUSY quantum mechanics

      K V S Shiv Chaitanya S Sree Ranjani Prasanta K Panigrahi R Radhakrishnan V Srinivasan

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      We show that for the quantum mechanical problem which admit classical Laguerre/Jacobi polynomials as solutions for the Schrödinger equations (SE), will also admit exceptional Laguerre/Jacobi polynomials as solutions having the same eigenvalues but with the ground state missing after a modification of the potential. Then, we claim that the existence of these exceptional polynomials leads to the presence of non-trivial supersymmetry.

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