Research Publications


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Publication Detail Abstract
1. KVS Shiv Chaitanya, S SreeRanjani, P K Panigrahi, R RadhaKrishnan and V Srinivasan, “Exceptional Polynomials and SUSY Quantum Mechanics”, Pramana – Journal of Physics, Vol. 85, No. 1, (Jul 2015), pp 53-65. We show that the quantum mechanical problem which admits classical Laguerre/Jacobi polynomials as solutions for the Schrödinger Equations, 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.
2. R Sandhya, S Sree Ranjani, and A K Kapoor, ”Shape Invariant potentials in higher dimensions”, Annals of Physics, Vol. 359, (Aug 2015), pp 125-135. In this paper, we investigate the shape invariance property of a potential in one dimension. We show that a simple ansatz allows us to reconstruct all the known shape invariant potentials in one dimension. This ansatz can be easily extended to arrive at a large class of new shape invariant potentials in arbitrary dimensions. A reformulation of the shape invariance property and possible generalizations are proposed. These may lead to an important extension of the shape invariance property to Hamiltonians that are related to standard potential problems via space time transformations, which are found useful in the path integral formulation of quantum mechanics.
3. S Sree Ranjani, R Sandhya, and A K Kapoor, “Shape invariant rational extensions and potentials related to exceptional polynomials”, International Journal of Modern Physics A, Vol. 30, No. 24 (Aug 2015) pp 1-18 In this paper, we show that an attempt to construct shape invariant extensions of a known shape invariant potential leads to, apart from a shift by a constant, the well-known technique of isospectral shift deformation. Using this, we construct infinite sets of generalized potentials with Xm exceptional polynomials as solutions. The method is simple and transparent and is elucidated using the radial oscillator and the trigonometric Poschl–Teller potentials. For the case of the radial oscillator, in addition to the known rational extensions, we construct two infinite sets of rational extensions, which seem to be less studied. Explicit expressions of the generalized infinite set of potentials and the corresponding solutions are presented. For the trigonometric Poschl–Teller potential, our analysis points to the possibility of several rational extensions beyond those known in literature.
4. L Koteswara Rao, “Local quantized extreme patterns for content based natural and texture image retrieval”, Human centric Computing and Information Sciences, Vol. 5, No. 1, (Dec 2015), pp 1-24 In this paper, the concepts of LQP and DLEP are integrated to propose the LQEP for image retrieval application. First, the directional quantized information is collected from the given image. Then, the directional extrema is collected from the quantized information. Finally, the RGB color histogram is integrated with the LQEP for a feature vector generation. The performance of the proposed method is tested by conducting three experiments on Corel-1K, Corel-5K, and MIT VisTex databases for natural and texture image retrieval. The performance is measured in terms of precision, recall, Average Retrieval Precision (ARP), and Average Retrieval Rate (ARR). The results after investigation show considerable improvements in terms of their evaluation measures as compared to the existing methods on respective databases.