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Elementary Particles and Fields and String Theory

Indian Statistical Institute

2019

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Full-Text Articles in Physics

Relativistic Quantum Heat Engine From Uncertainty Relation Standpoint, Pritam Chattopadhyay, Goutam Paul Dec 2019

Relativistic Quantum Heat Engine From Uncertainty Relation Standpoint, Pritam Chattopadhyay, Goutam Paul

Journal Articles

Established heat engines in quantum regime can be modeled with various quantum systems as working substances. For example, in the non-relativistic case, we can model the heat engine using infinite potential well as a working substance to evaluate the efficiency and work done of the engine. Here, we propose quantum heat engine with a relativistic particle confined in the one-dimensional potential well as working substance. The cycle comprises of two isothermal processes and two potential well processes of equal width, which forms the quantum counterpart of the known isochoric process in classical nature. For a concrete interpretation about the relation …


Probing Uncertainty Relations In Non-Commutative Space, Pritam Chattopadhyay, Ayan Mitra, Goutam Paul Aug 2019

Probing Uncertainty Relations In Non-Commutative Space, Pritam Chattopadhyay, Ayan Mitra, Goutam Paul

Journal Articles

In this paper, we compute uncertainty relations for non-commutative space and obtain a better lower bound than the standard one obtained from Heisenberg’s uncertainty relation. We also derive the reverse uncertainty relation for product and sum of uncertainties of two incompatible variables for one linear and another non-linear model of the harmonic oscillator. The non-linear model in non-commutating space yields two different expressions for Schrödinger and Heisenberg uncertainty relation. This distinction does not arise in commutative space, and even in the linear model of non-commutative space.


Quasinormal Mode Spectra For Odd Parity Perturbations In Spacetimes With Smeared Matter Sources, Kumar Das, Souvik Pramanik, Subir Ghosh Jan 2019

Quasinormal Mode Spectra For Odd Parity Perturbations In Spacetimes With Smeared Matter Sources, Kumar Das, Souvik Pramanik, Subir Ghosh

Journal Articles

We have found the quasinormal mode (QNM) frequencies of a class of static spherically symmetric spacetimes having a smeared matter distribution, parametrized by Θ, an inherent length scale. Here, our main focus is on the QNMs for the odd parity perturbation in this background geometry. The results presented here for diffused mass distribution reveal significant changes in the QNM spectrum. This could be relevant for future generation (cosmological) observations, specifically to distinguish the signals of gravitational waves from a nonsingular source in contrast to a singular geometry. We also provide numerical estimates for the Θ-corrected QNM spectrum applicable to typical …