1. Propagator calculations for time dependent Dirac delta potentials and corresponding two state models. S Mudra* and A Chakraborty, Physics Letters A (accepted) (2021). In this paper we have solve the one dimensional Schrodinger equation for a Dirac delta potential with a time dependent strength. There are two cases where the strength is exponentially increasing and decreasing have been exactly solved in time domain and reported the exact wave function. We have also developed a method to solve a two state model for a time dependent Dirac delta coupling exactly in time domain to calculate the wave packet dynamics on both the states explicitly.
2. Diffusion–reaction approach to electronic relaxation in solution. An alternative simple derivation for two state model with a Dirac delta function coupling. S Mudra* and A Chakraborty, Physica A: Statistical Mechanics and its Applications 545, 123779 (2020). We have solved a two state model of electronic relaxation problem. The coupling between two states have been represented by a Dirac delta function. We have calculated the rate constants for the reaction on excited state. In our method, we have used the Green's function technique to solve 1-D Smoluchowski equation.
3. Reaction-diffusion approach to electronic relaxation in solution: Simple derivation for delta function sink models. S Mudra* and A Chakraborty, Chemical Physics Letters 751, 137531 (2020). In this paper we have solved single state model for electronic relaxation in solution. In this model non radiative decay channel has been modeled as a Dirac delta sink of arbitrary strength and position in 1-D Smoluchowski equation. We have solved this model for arbitrary potential with the sink using Green's function technique. Then we have calculated average rate constant for flat, piece-wise linear and parabolic potentials.
4. Analytical solution of diffusion probability for a flat potential with a localized sink. H Chhabra*, S Mudra and A Chakraborty, Physica A: Statistical Mechanics and its Applications 555, 124573 (2020). In this paper we have introduced a new sink model for electronic relaxation problem. This is a rectangular sink of a ultra-short width. We have solved this model for a flat potential using Green's function technique. We have reported the exact time domain results for survival probability for a 1-D model.
5. Exact solution of Schrödinger equation for time-dependent ultra-short barrier. S Mudra*and A Chakraborty, Physica Scripta 94 (11), 115227 (2019). In this paper we have worked on 1-D Schrödinger equation for potential barrier of ultrashort width. We have considered the strength of potential as a time dependent function. The equation has been solved for different cases of time dependent strength functions. We have used Green's function method to solve the equation.
6. Multi-Channel Electron Transfer Reactions: An Analytically Solvable Model. Diwaker, S Mudra* and A Chakraborty, Chemical Physics Letters (under revision).
7. Theory of Electronic Relaxation in solution with sink of different shapes: An exact analytical solution. S. Mudra & A. Chakraborty (in communication).
8. Exact time domain solution of diffusion probability for a piece-wise linear potential in presence of a Dirac delta sink. S. Mudra* & A. Chakraborty (in preparation).
9. Diffusion-reaction approach to electronic relaxation in solution: Exact time domain solution for Dirac delta sink and coupling models. S. Mudra* & A. Chakraborty (in communication).
10. Electronic relaxation in solution in presence of a Gaussian sink: An exact analytical solution. S. Mudra & A. Chakraborty (In preparation)..
11. Exact solution of two state model for electronic relaxation in solution. S. Mudra and A. Chakraborty (in preparation).
AWARDS
Travel Award to attend the workshop titled "Collective Behavior in Quantum Systems" at The Abdus Salam International Centre for Theoretical Physics (ICTP), Trieste, Italy (Aug 27 - Sep 14) (2018) from ICTP Italy.
Joint Admission Test for Masters (JAM) in Physics 2014.
Inspire fellowship award from DST India for 3 years (2011-2014).