SWARAJ PAUL

Scopus Publications

Shearlet Localization Operator and Microlocal Analysis
Swaraj Paul
Trends in Mathematics, 2025
Hardy's theorem for the continuous shearlet transform
Swaraj Paul, R. Radha
Integral Transforms and Special Functions, 2025
In this work, we derive a qualitative uncertainty principle, specifically a version of Hardy's theorem, for the continuous shearlet transform.
Microlocal Analysis and Characterization of Sobolev Wavefront Sets Using Shearlets
Bin Han, Swaraj Paul, Niraj K. Shukla
Constructive Approximation, 2022
The generalized otoc from supersymmetric quantum mechanics—study of random fluctuations from eigenstate representation of correlation functions
Kaushik Y. Bhagat, Baibhab Bose, Sayantan Choudhury, Satyaki Chowdhury, Rathindra N. Das, Saptarshhi G. Dastider, Nitin Gupta, Archana Maji, Gabriel D. Pasquino, Swaraj Paul
Symmetry, 2021
The concept of the out-of-time-ordered correlation (OTOC) function is treated as a very strong theoretical probe of quantum randomness, using which one can study both chaotic and non-chaotic phenomena in the context of quantum statistical mechanics. In this paper, we define a general class of OTOC, which can perfectly capture quantum randomness phenomena in a better way. Further, we demonstrate an equivalent formalism of computation using a general time-independent Hamiltonian having well-defined eigenstate representation for integrable Supersymmetric quantum systems. We found that one needs to consider two new correlators apart from the usual one to have a complete quantum description. To visualize the impact of the given formalism, we consider the two well-known models, viz. Harmonic Oscillator and one-dimensional potential well within the framework of Supersymmetry. For the Harmonic Oscillator case, we obtain similar periodic time dependence but dissimilar parameter dependences compared to the results obtained from both microcanonical and canonical ensembles in quantum mechanics without Supersymmetry. On the other hand, for the One-Dimensional PotentialWell problem, we found significantly different time scales and the other parameter dependence compared to the results obtained from non-Supersymmetric quantum mechanics. Finally, to establish the consistency of the prescribed formalism in the classical limit, we demonstrate the phase space averaged version of the classical version of OTOCs from a model-independent Hamiltonian, along with the previously mentioned well-cited models.
Study of the sextic and decatic anharmonic oscillators using an interpolating scale function
K. Manimegalai, Swaraj Paul, M. M. Panja, Tapas Sil
European Physical Journal Plus, 2020
Approximate solution of first kind singular integral equation with generalized kernel using Legendre multiwavelets
Swaraj Paul, M. M. Panja, B. N. Mandal
Computational and Applied Mathematics, 2019
Use of Legendre multiwavelets to solve Carleman type singular integral equations
Swaraj Paul, M.M. Panja, B.N. Mandal
Applied Mathematical Modelling, 2018
Comparison of two methods based on daubechies scale functions and legendre multiwavelets for approximate solution of Cauchy-type singular integral equation on ℝ
Swaraj Paul, B. N. Mandal
Springer Proceedings in Mathematics and Statistics, 2018
Multiscale approximation of the solution of weakly singular second kind Fredholm integral equation in Legendre multiwavelet basis
Swaraj Paul, M.M. Panja, B.N. Mandal
Journal of Computational and Applied Mathematics, 2016

SWARAJ PAUL

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Scopus Publications