Dr. Aniruddha Chakraborty

 

Papers with Dr. Diwaker

 

• Multi-channel scattering problems:  Analytically solvable model,
  

            Diwaker & A. Chakraborty*, Mol. Phys., 110, 2257 (2012).

 

• Curve crossing problems with gaussian type coupling: Analytically solvable model,
  

            Diwaker* & A. Chakraborty, Mol. Phys., 110, 2197 (2012).

 

• Transfer matrix approach to the curve crossing problem of two exponential diabatic potentials,
  

            Diwaker* & A. Chakraborty, Mol. Phys., 113, 3406 (2015).

 

• Exact solution to the curve crossing problems of two linear diabatic potentials by transfer matrix method,
  

            Diwaker* & A. Chakraborty, Mol. Phys., 113, 3909 (2015).

 

• Two state problem with arbitrary coupling,
  

            Diwaker* & A. Chakraborty, Chin. Phys. Lett., 32, 070301 (2015).  

 

• Effect of curve crossing induced dissociation on absorption and resonance Raman spectra: An analytically solvable model,
  

            Diwaker* & A. Chakraborty, Spectrochimica Acta A, 151, 510 (2015).

 

• Exact solution of time-dependent Schrodinger equation for two state problem in Laplace domain,
  

            Diwaker & A. Chakraborty, Diwaker* & A. Chakraborty, Chem. Phys. Lett., 638, 133 (2015).

 

• Long range electron transfer reactions in solution: An analytically solvable model,
  

            Diwaker* & A. Chakraborty, Chem. Phys., 459, 19 (2015).

 

• Exact solution of Schrodinger equation for two state problem with time dependent coupling,
  

            Diwaker* & A. Chakraborty, Physica A, 442, 380 (2015). 

  

• Exact results on diffusion in a piecewise linear potential with a time dpendent sink.
  

            Diwaker* & A. Chakraborty, J. Exp & Theo. Phys., 149, 439 (2016).

 

    

Papers with Ms. Moumita Ganguly

 

• Understanding looping kinetics of a long polymer molecule in solution. Exact solution for delta function sink model.

            M. Ganguly* & A. Chakraborty, Physica A,  484, 163 (2017). 

 

• Exploring the role of relaxation time, bond length and length of the polymer chain in the kinetics of end-to-end looping.

           M. Ganguly* & A. Chakraborty, Chem. Phys. Lett., 733, 136673 (2019).

 

• Understanding the reversible looping kinetics of a long chain polymer molecule in solution with Dirac Delta coupling.

            M. Ganguly* & A. Chakraborty, Physica A, 536, 122509 (2019).

 

• Looping of a long chain polymer in solution: Simple derivation for exact solution for a delta function sink.

            M. Ganguly* & A. Chakraborty, Chem. Phys. Lett., 749, 137370 (2020).

 

• The two-state reversible kinetics of a long polymer molecule in solution with a delocalized coupling term. An exact analytical model.

             M. Ganguly* & A. Chakraborty, Phys. Scr., 95, 115006 (2020).

 

• Opening of a weak link of a closed looped polymer immersed in solution. Analytical modelling using a delta function sink.

            M. Ganguly* & A. Chakraborty, Phys. Scr., 95, 015003 (2021).

 

• Analytical expression for end-to-end- auto correlation function of a long chain polymer molecule in solution.

            M. Ganguly* & A. Chakraborty, Chem. Phys. Lett. (under revision) (2020).

 

• Diffusion-reaction approach to polymer cyclization in solution: Exact time domain solution for Dirac delta function sink model,
  

            M. Ganguly* and A. Chakraborty, Chem. Phys. (under review) (2020).

 

• Self-organized criticality for the phenomenon of polymer looping in solution,

            M. Ganguly* and A. Chakraborty, Mol. Phys. (under review) (2020).

 

• Analytical expression for end-to-end-auto correlation function of a long chain polymer molecule in solution,  

            M. Ganguly* and A. Chakraborty, Chem. Phys. Lett.  (2021). 

 

• Dynamics of semiflexible polymer end-to-end distribution and barrierless chemical reactions using fractional diffusion equation. An exact analytical model. M. Ganguly* and A. Chakraborty, Phys. Scr. (under review) (2021).     

 

• A time-dependent Morphogen Gradient Analysis: An Exact Analytical Method.

            M. Ganguly* and A. Chakraborty, Chem. Phy. Lett. (under review) (2021).

 

• Effect of different architecture of sink function beyond Dirac delta sink model in looping kinetics of a long polymer

          molecule in solution, M. Ganguly* & A. Chakraborty (in preparation) (2020).







 

 

Papers with Mr. Saravanan Rajendran

 

•  Exact diffusion dynamics of a Gaussian distribution in a two state system.

             R. Saravanan* & A. Chakraborty, Chem. Phys. Lett.,  731, 136567 (2019).

 

• Reaction-diffusion system: Fate of a Gaussian probability distribution on a flat potential with a sink.
  

            R. Saravanan* & A. Chakraborty, Physica A, 536, 120989 (2019).

 

• Some exact time-domain results related to reversible reaction-diffusion systems.         
  

            R. Saravanan* and A. Chakraborty, Chem. Phys., 539, 110955 (2020).

 

• Diffusion dynamics in the presence of two competing sinks: Analytical solution for Oster-Nishijima's model.

            R. Saravanan* & A. Chakraborty, Physica A, 563, 125317 (2021).

 

• A general method to solve diffusion in piece-wise linear potentials in the time-domain,

            R. Saravanan* & A. Chakraborty,  Chem. Phys. (under revision) (2021).

 

• Exact time-domain solution of the Schrodinger equation for a new scattering model

,           R. Saravanan* & A. Chakraborty,  Chem. Phys. Lett. (under revision) (2021).

 

• Exact time-domain results for constantly coupled Smoluchowski equations of identical surfaces,

            R. Saravanan* & A. Chakraborty, Chem. Phys. Lett. (under revision) (2020).



• Quantum Physics of systems with ultrashort potentials: New Analytically solvable model.

            D. Kumar, S. Rajendran* & A. Chakraborty, Physica E (under revision) (2021).

 

• Exact solution for a reaction-diffusion system with an attractive harmonic well,

            R. Saravanan* &  A. Chakraborty, Chem. Phys. (under revision) (2021). 

 

• Exact quantum properties of a harmonic trap decorated by a delta-potential: transient insights into Bose-Einstein condensation,
  

           R. Saravanan* &  A. Chakraborty (to be submitted) (2021).

 

• Insights into Bose-Einstein condensates using a dimple |x|-potential decorated by a delta-potential,

            R. Saravanan* &  A. Chakraborty (to be submitted) (2021).

 

• An analytically solvable reaction-diffusion model for chemical dynamics in solutions,

            R. Saravanan*,  A. Chakraborty (to be submitted) (2021).



 

 

 Papers with Mr. Chinmoy Samanta

 

• Transition time estimation for δ-function coupling in two state problem: An analytically solvable model,  

             M. Vashistha, C. Samanta* & A. Chakraborty, Chem. Phys. Lett., 770, 138436 (2021).

 

• Reaction-diffusion dynamics in an attractive stepwise-linear potential energy curve under the Gaussian sink Action,
  

           C. Samanta* &  A. Chakraborty, Eur. Phys. J. Plus (under review) (2020). 

 

• Exact results for the Schrödinger equation with moving localized potential,
  

            C. Samanta* &  A. Chakraborty, Phys. Lett. A (under review) (2020).

 

• Reaction-diffusion dynamics in presence of two competing sink terms: Beyond Oster-Nishijima Model in barrierless reaction, 
  

            C. Samanta* & A. Chakraborty,  Physica A (under riview) (2020).

 

• Zero-curvature solution of instantaneous death models of barrierless reaction, 

            C. Samanta* &  A. Chakraborty (under review) Theor. Chem. Acc. (2021).

 

• Transition dynamics in two-state problems involving δ-function coupling, 
  

            C. Samanta* &  A. Chakraborty  (to be submitted) (2020).

 

• Mapping solution of the Smoluchowski equation among different potential energy curves in the presence of sink term, 

           C. Samanta* &  A. Chakraborty (under review) J. Math. Chem. (2020).



 

 

 

Papers with Ms. Swati Mudra

 

• Diffusion-reaction approach to electronic relaxation in solution. An alternative simple derivation for two state model.

            S. Mudra* & A. Chakraborty, Physica A,  545, 123779 (2020).

 

• Exact solution of Schrodinger equation for time dependent ultra-short barrier,

   S. Mudra* & A. Chakraborty, Phys. Scr., 94, 115227 (2019).

 

• Analytical Solution of diffusion probability for a flat potential with a localized sink          

  H. Chhabra* S. Mudra & A. Chakraborty, Physica A, 555, 124573 (2020).

 

• Reaction-diffusion approach to electronic relaxation in solution: Simple derivation for delta function sink models.

  S. Mudra* and A. Chakraborty, Chem. Phys. Lett., 751, 137531 (2020).

 

• Theory of Electronic Relaxation in solution with narrow sink of different shapes: An exact analytical solution.

  S. Mudra* & A. Chakraborty, Chem. Phys. Lett. (under revision) (2020).

 

• Barrierless Chemical Reactions  in solution: An analytically solvable model.

  S. Mudra* and A. Chakraborty, Phys. Rev. E (under revision)  (2020).

 

• Dynamics of thermal relaxation

  S. Mudra* and  A. Chakraborty, Physica A (under revision) (2020).

 

• Effective Hamiltonian for two electron quantum dots from weak to strong parabolic confinement.

  S. Mudra* & A. Chakraborty, Phys. Lett. A (under revision) (2019).

 

• Effective Hamiltonian for highly excited electronic states of Helium based on four dimensional Harmonic Oscillator.         

  S. Mudra*  & A. Chakraborty, Phys. Lett. A (under revision) (2020). 

  

  
  



 

 

Papers with Ms. Proma Mondal

 

• Diffusion-reaction approach to electronic relaxation in solution: Exact solution of Smoluchowski equation for parabolic potential in  presence  of a rectangular sink,
  

            P. Mondal* & A. Chakraborty, Chem. Phys., xxx, xxx (2021).  

 

• Diffusion on a flat potential with a  rectangular sink of arbitrary width: Exact analytical solution in Laplace domain,
  

          P. Mondal* & A. Chakraborty, Physica A, 567, 125707 (2021).

 

• Diffusion on a flat potential in presences of a parabolic sink: Exact analytical solution in Laplace domain,             

           P. Mondal* & A. Chakraborty, Int. J. Chem. Theor. (under revision) (2021) link.



• Analytical solution of time independent Schrodinger equation for two constant potentials with constant coupling, 

          P. Mondal* & A. Chakraborty, Mol. Phys. (under revision) (2021) link.

 

• Analytical solution of Smoluchowski equation for a potential with a piece-wise linear sink, 

          P. Mondal* & A. Chakraborty, Physica A (under revision) (2021) link.





Papers with Ms. Anjali Jangid

 

• Understanding the dynamics of dipole Solvation,

            A. Jangid* & A. Chakraborty, Chem. Phys. Lett.  (under revision) (2020).

 

 



Papers with Mr. Vishal Sharma

 

(will be updated soon.)



Papers with Ms. Nidhi Chamoli

 

(will be updated soon.)

 

Papers with Mr. Vasu Nagpal

 

(will be updated soon.)