Title-New Analytically Solvable Model for Multi-state Problems in Quantum and Statistical Mechanics
Non equilibrium statistical mechanics is an important area which covers a wide variety of physical processes. In which reaction diffusion system models are extensively used to model many chemical, biological, physical and many other reactions. Electronic relaxation in solution is an interesting phenomenon which has been modeled by using reaction diffusion approach. I am working on theoretical models of electronic relaxation problems which have been studied using 1-D Smoluchowski equation with a sink function. Different sink functions works well for different molecules. My aim is to solve these models for different sink shapes like Dirac delta, Gaussian and exponential sinks in Laplace as well as in time domain. I have worked on coupled multi-state systems, where the coupling between two states has been represented by Dirac delta, Gaussian and exponential functions. I am also working on few quantum mechanical problems. Here the aim is to solve time dependent Schrodinger equation for a time dependent delta function and few other potentials in 1-D. I am also working on multi-state problems in this area.
Supervisor - Dr. Aniruddha Chakraborty
M.Sc. Thesis Work (Jun 2016- Aug 2017)
Title-Development of Non Invasive Blood Glucometer using Photoacoustic Spectroscopy
Due to the sedentary lifestyle and genetics, number of diabetes patients are increasing in our society. In that case monitoring of blood suger level is important on a regular basis. To make the measurement easier, I was working on the development of a non invasive blood glucometer. This device is based on the principle of photoacaustic spectroscopy. I have been using an infrared LED to excite the glucose molecules present in the blood and using a piezoelectric transducer to covert the vibrations into an electric signals. I have made the glucose solutions of different concentrations and try to calibrate this model by measuring the corresponding voltage of each concentration. My aim was to reduce the cost of the device and make the measurement easy.
Supervisor- Dr. Shubhajit Roy Chowdhury
Short Term Projects (Dec 2015 – Jun 2016)
Title- Decoherence: Quantum to Classical Transition
In our course curriculum it was a short term project to give us (I-Ph.D. students) a flavour of research. In this project I have learnt about quantum decoherence and entanglement phenomena. I have studied about cavity quantum electrodynamics (QED) system which has been used to quantized the classical electromagnetic field. Here I get an idea about the interactions of a two level system with the quantized field. I have also studied about the Schrodinger cat states of electromagnetic field and cause of decoherence in cavity QED systems. This project gives me an idea about the interesting field of quantum optics.