Prasanta Panigrahi - Academia.edu (original) (raw)
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Papers by Prasanta Panigrahi
Modern Physics Letters A - MOD PHYS LETT A, 1988
We show that, in the path integral formalism, the Chern-Simons terms in string theories arise due... more We show that, in the path integral formalism, the Chern-Simons terms in string theories arise due to the anomalous behavior of the measure under gauge transformations.
Physical Review E, 2006
We present a large family of exact solitary wave solutions of the one-dimensional Gross-Pitaevski... more We present a large family of exact solitary wave solutions of the one-dimensional Gross-Pitaevskii equation, with time-varying scattering length and gain or loss, in both expulsive and regular parabolic confinement regimes. The consistency condition governing the soliton profiles is shown to map onto a linear Schrödinger eigenvalue problem, thereby enabling one to find analytically the effect of a wide variety of temporal variations in the control parameters, which are experimentally realizable. Corresponding to each solvable quantum mechanical system, one can identify a soliton configuration. These include soliton trains in close analogy to experimental observations of Streckeret al. [Nature (London) 417, 150 (2002)], spatiotemporal dynamics, solitons undergoing rapid amplification, collapse and revival of condensates, and analytical expression of two-soliton bound states, to name a few.
Modern Physics Letters A, 1988
We show that, in the path integral formalism, the Chern-Simons terms in string theories arise due... more We show that, in the path integral formalism, the Chern-Simons terms in string theories arise due to the anomalous behavior of the measure under gauge transformations.
Modern Physics Letters A - MOD PHYS LETT A, 1988
We show that, in the path integral formalism, the Chern-Simons terms in string theories arise due... more We show that, in the path integral formalism, the Chern-Simons terms in string theories arise due to the anomalous behavior of the measure under gauge transformations.
Physical Review E, 2006
We present a large family of exact solitary wave solutions of the one-dimensional Gross-Pitaevski... more We present a large family of exact solitary wave solutions of the one-dimensional Gross-Pitaevskii equation, with time-varying scattering length and gain or loss, in both expulsive and regular parabolic confinement regimes. The consistency condition governing the soliton profiles is shown to map onto a linear Schrödinger eigenvalue problem, thereby enabling one to find analytically the effect of a wide variety of temporal variations in the control parameters, which are experimentally realizable. Corresponding to each solvable quantum mechanical system, one can identify a soliton configuration. These include soliton trains in close analogy to experimental observations of Streckeret al. [Nature (London) 417, 150 (2002)], spatiotemporal dynamics, solitons undergoing rapid amplification, collapse and revival of condensates, and analytical expression of two-soliton bound states, to name a few.
Modern Physics Letters A, 1988
We show that, in the path integral formalism, the Chern-Simons terms in string theories arise due... more We show that, in the path integral formalism, the Chern-Simons terms in string theories arise due to the anomalous behavior of the measure under gauge transformations.