Two wavelet multipliers and Landau-Pollak-Slepian operators on locally compact abelian groups associated to right-$H$-translation-invariant functions

no code implementations • 17 Feb 2021 • Aparajita Dasgupta, Swaraj Paul, Santosh Kumar Nayak

By using a coset of closed subgroup, we define a Fourier like transform for locally compact abelian (LCA) topological groups.

Functional Analysis 47G10, 47G30, 42C40

The Generalized OTOC from Supersymmetric Quantum Mechanics: Study of Random Fluctuations from Eigenstate Representation of Correlation Functions

no code implementations • 6 Aug 2020 • Kaushik Y. Bhagat, Baibhab Bose, Sayantan Choudhury, Satyaki Chowdhury, Rathindra N. Das, Saptarshhi G. Dastider, Nitin Gupta, Archana Maji, Gabriel D. Pasquino, Swaraj Paul

The concept of 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.

High Energy Physics - Theory Disordered Systems and Neural Networks General Relativity and Quantum Cosmology Chaotic Dynamics Quantum Physics