Dr. Aniruddha Chakraborty

School of Basic Sciences

Indian Institute of Technology Mandi

Kamand, Himachal Pradesh 175005

India

ph: +(91)1905-237930

achakrab

I do research mostly in those areas, where I did not have any publication along with any of my past research guides. Therefore most of my research papers are not the extension or generalization of any such works, which is quite unusual now-a-days. Many research problems are taken from literature, many problems just came into our thoughts - some of them are solved by methods developed by others after suitable modifications but most are solved by methods developed by us. Our motivation is always to find the exact analytical solution of those equations, which are thought to be analytically intractable by experts in the field. Our research works are widely appreciated by real experts across the globe and salient features of experimental data were reproduced by using our model. In our research group, students are always the corresponding author of all papers - so that students gets training on all steps, starting from finding a research problem upto publications. In our group all students publish at least one single author paper during Ph.D. time. As a policy of our research group, we do not publish papers to journals by payment (APC). We have a very transparant research policy that all our data, source codes, detailed derivations are available on request*.

Published research papers with collaborations: 5.

Published papers of our own: 39 (Total Impact Factor: 112.85, Average Impact Factor: 2.56* per paper**)**

* For most of the well extablished researchers in theoretical chemical physics worldwide, this number varies from 2.00 - 3.50.

Total Citations: 224, h-index: 9, i10-index: 9, Average citations: 5 per paper.

Students independent research papers: 9.

Total Published Papers: 39+5+9 = 53.

10 papers are under revision, 20 papers are under review and 5 papers are in preparation.

Interns Ph.D. Students Project Students Ph.D. Guide Post-Doc Guide Sole Author Students Own Papers

**Research Papers in preparation**

9. Diffusion on a piece-wise linear potential with a rectangular sink of arbitrary width: Exact analytical solution in Laplace domain,

P. Mondal* & A. Chakraborty, Phys. Lett. (2021) link.

8. 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 (2020) link.

7. An analytically solvable reaction-diffusion model for chemical dynamics in solutions**,**

* R. Saravanan* & A. Chakraborty* (2020) link.

6. Modelling the chromatin spring: Better insight into chromosome tethering and confinement using an exact analytical model.,

M. Ganguly* & A. Chakraborty (2020) link.

5. Nearest Hermitian inverse eigenvalue problem solution with respect to the 2-Norm,

M. Padilla*, B. Kolbe & A. Chakraborty (2020) link.

4. Exact Solution of long range electron transfer through conjugated molecular bridge.

Asish Kumar, Diwaker & A. Chakraborty (2020) link.

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

* R. Saravanan* & A. Chakraborty* link.

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

* R. Saravanan* & A. Chakraborty*.

1. Predissociation of diatomic molecules: An analytically solvable model.

V. Yadav & A. Chakraborty* (2019) [citation:2] link.

**Research Papers under review**

21. Diffusion on a harmonic potential with a time dependent rectangular sink: Exact analytical solution in time domain,

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

20. Diffusion on a flat potential with an exponential sink: Exact analytical solution in Laplace domain,

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

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

P. Mondal* & A. Chakraborty, Int. J. Chem. Ther. (2021) link.

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

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

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

M. Ganguly* & A. Chakraborty, Mol. Phys. (2020).

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

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

15. Dynamics of semiflexible polymer end-to-end distribution and barrierless chemical reactions using fractional diffusion equation.

An exact analytical model. M. Ganguly* & A. Chakraborty,* Phys. Scr. (2021). *

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

M. Ganguly* & A. Chakraborty, Chem. Phy. Lett. (2021).

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

C. Samata* & A. Chakraborty, Physica A (2021).

12. Zero-curvature solution of instantaneous death models of barrierless reaction

C. Samata* & A. Chakraborty, Theo. Chem. Acc. (2021).

11. Mapping solution of the Smoluchowski equation among different potential energy curves in the presence of sink term.

C. Samata* & A. Chakraborty, J. Math. Chem. (2021).

10. Multichannel scattering problem: Analytical method using Greens function.

N. Chamoli, S. Mudra, Diwaker, R. Saravanan* & A. Chakraborty, Mol. Phys. (2019) link

9. Diffusion-reaction approach to ‘electronic relaxation from coherent state’ in solution.

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

8. Barrierless electronic relaxation in solution: Understanding dynamics of relaxed molecule.

Diwaker, S. Mudra* & A. Chakraborty, Comput. & Theo. Chem. (2020) link.

7. Barrierless Electronic Relaxation in Solution: An analytically solvable model with arbitrary coupling.

S. Mudra* and A. Chakraborty, Comput. & Theo. Chem. (2020) link.

6. Exact solution of Smoluchowski equation for parabolic potential with time dependent sink.

Diwaker, R. Saravanan, S. Mudra* & A. Chakraborty, Chem. Phys. (2020) link.

5. Long Range Electron Transfer Reactions in solution: Exact one dimensional representation and it's analytical solution.

Diwaker, S. Mudra* & A. Chakraborty, Chem. Phys. (2020) link.

4. Theory of barrierless electronic relaxation in solution. Two state problems with Dirac Delta coupling models.

S. Mudra* & A. Chakraborty, Chem. Phys. (2020) link.

3. Theory of electronic relaxation in solution with ultra-short sink of different shapes: An exact analytical solution,

S. Mudra* & A. Chakraborty, Chem. Phys. (2020) link.

2. Barrierless electronic relaxation in solution: A new analytically solvable two state model with localized arbitrary coupling,

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

1. Exact solution of Schrodinger equation for time dependent Dirac delta potential.,

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

**Research Papers under revision**

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

P. Mondal* & A. Chakraborty, Int. J. Chem. Ther. (2021) link.

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

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

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

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

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

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

8. Multi-channel electron transfer problem in solution - An analytically solvable model,

Diwaker, S. Mudra* & A. Chakraborty, Chem. Phys. Lett. (2020) link.

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

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

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

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

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

S. Mudra* & A. Chakraborty, Phys. Rev. E (2020) link.

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

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

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

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

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

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

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

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

**Research Papers Published as an Associate Professor (2015 -) Total Impact Factor: 76.75: Total Citations: 54.**

(Average Impact Factor per paper is 2.65 which is very good in theoretical Chemical Physics. All papers are with my students only. We have proposed new analytically solvable models along with analytical solution of several old models which were earlier thought to be analytically intractable. One must notice the five fold increase of total impact factor, in comparison with that while I worked as an assistant professor. Our research work was appreciated in differnt contexts by world's leading researchers, professors K. L. Sebastian, Swapan K. Ghosh, E. Arunan, Raphiel D. Levine, Biman Bagchi, Peter Hanggi, V. M. Kenkre, Michael E. Kellman, Jeffrey A. Cina, K. Srihari, Binny J. Cherayl, Dev Shankar Roy & more.)****

29. Propagator calculations for time dependent Dirac delta potentials and corresponding two state models,

S. Mudra* & A. Chakraborty, Phys. Lett. A, vol: 418, page: 127725 (5 pages), year: 2021 [I. F. 2.65] [Cited 0] link.

28. Exact analytical solution of time independent Schrodinger equation for a system consist of two flat potentials coupled by

a rectangular potential, P. Mondal* & A. Chakraborty, Mol. Phys., vol: xxx, page: xxx (12 pages), year: 2021 [I. F. 1.96] [Cited 0] link.

27. Exact results for the Schrödinger equation with moving localized potential,

C. Samanta* & A. Chakraborty, Phys. Lett. A, vol: 408, page: 127485 (10 pages), year:2021 [I. F. 2.65] [Cited 0] link.

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

C. Samanta* & A. Chakraborty, Eur. Phys. J. Plus, vol: 136, page:1 (23 pages), year: 2021 [I. F. 3.9] [Cited 0] link.

25. 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., vol: 548, page: 111206 (10 pages), year: 2021 [I. F. 2.35] [Cited 0] link.

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

M. Vashistha, C. Samanta* & A. Chakraborty, Chem. Phys. Lett., vol: 770, page: 138436 (6 pages), year: 2021 [I. F. 2.33] [Cited 0] link.

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

P. Mondal* & A. Chakraborty, Physica A, vol: 567, page:125707 (9 pages), year: 2021 [I. F. 3.26] [Cited 0] link.

22. 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., vol: 96, page: 015003 (7 pages), year: 2021 [I. F. 2.45] [Cited 0] link.

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

R. Saravanan* & A. Chakraborty, Physica A, vol: 563, page: 125317 (8 pages), year: 2021 [I. F. 3.26] [Cited 0] link.

20. 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., vol: 95, page: 115006 (7 pages) year: 2020 [I. F. 2.45] [Cited 2] link.

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

R. Saravanan* and A. Chakraborty, Chem. Phys., vol: 539, page:*110955 (9 pages)*, year:2020 [I. F. 2.35] [Cited 0] link.

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

S. Mudra* and A. Chakraborty, Chem. Phys. Lett., vol: 751, page: *137531* (5 pages), year: 2020 [I. F. 2.33] [Cited 1] link.

17. Rattling motion of proton through five membered aromatic ring systems.

S. Chamoli* & A. Chakraborty, Comput. Theor. Chem., vol:1183, page: 112825 (7 pages), year: 2020 [I. F. 1.92] [Cited 0] link.

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

H. Chhabra* S. Mudra & A. Chakraborty, Physica A, vol: 555, page: 124573 (6 pages), year: 2020 [I. F. 3.26] [Cited 1] link.

15. 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., vol: 749, page: 137370 (4 pages), year: 2020 [I. F. 2.33] [Cited 2] link.

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

S. Mudra* & A. Chakraborty, Physica A, vol: 545, page: 123779 (4 pages), year: 2020 [I. F. 3.26] [Cited 1] link.

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

S. Mudra* & A. Chakraborty, Phys. Scr., vol: 94, page: 115227 (5 pages), year: 2019 [I. F. 2.45] [Cited 1] link.

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

R. Saravanan* & A. Chakraborty, Physica A, vol:536, page:120989 (7 pages), year: 2019) [I. F. 3.26] [Cited 10] link.

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

M. Ganguly* & A. Chakraborty, Physica A, Vol: 536, Year: 122509 (6 pages), year: 2019) [I. F. 3.26] [Cited 0] link.

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

R. Saravanan* & A. Chakraborty, Chem. Phys. Lett., vol:731, page:136567 (8 pages) year: 2019 [I. F. 2.33] [Cited 1] link.

9. 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., vol: 733, page: 136673 (4 pages), year: 2019) [I. F. 2.33] [Cited 4] link.

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

M. Ganguly* & A. Chakraborty, Physica A, vol: 484, page: 163 (5 pages), year: 2017 [I. F. 3.26] [Cited 17] link.

7. Exact solution of Smoluchowski equation for piece-wise linear potential with time dependent sink.

Diwaker* & A. Chakraborty, J. Exp. Theo. Phys., vol: 149, page: 439 (5 pages), year: 2016 [I. F. 1.30] [Cited 0] link.

6. Exact Solution of Schrodinger equation for two state problem with time dependent coupling.

Diwaker*, B. Panda & A. Chakraborty, Physica A, vol: 442, page: 380 (8 pages), year: 2016 [I. F. 3.26] [Cited 6] link.

5. Curve Crossing induced dissociation: An analytically solvable model.

Diwaker* & A. Chakraborty, Spectrochim. Acta A, vol: 151, page: 510 (5 pages) year: 2015 [I. F. 4.10] [Cited 0] link.

4. Exact Solution of time dependent Schrodinger equation for two state problem in Laplace domain.

Diwaker* & A. Chakraborty, Chem. Phys. Lett., vol: 638, page: 133 (4 pages), year: 2015 [I. F. 2.33] [Cited 2] link.

3. Transfer matrix method for two-channel scattering problems with arbitrary coupling: Analytical Solution.

Diwaker* & A. Chakraborty, Chin. Phys. Lett., vol: 32, page:070301 (4 pages), year: 2015 [I. F. 1.48] [Cited 4] link.

2. Buckled Nanorod - Dynamics of a two state system treated with an exact Hamiltonian.

J. Dehning* & A. Chakraborty, Chem. Phys. Lett., vol: 636, page: 193 (4 pages), year: 2015 [I. F. 2.33] [Cited 0] link.

1. Long Range Electron Transfer Reactions in Solution: An Analytically Solvable Model.

Diwaker* & A. Chakraborty, Chem. Phys., vol: 459, page: 19 (5 pages), year: 2015 [I. F. 2.35] [Cited 2] link.

**Research Papers Published as an Assistant Professor (2010 -15) Total Impact Factor: 15.25: Total Citations: 57.**

(Average Impact Factor per paper is 2.18 which is good in theoretical Chemical Physics. Two are single author papers and other five papers are with my Ph.D. student. This time I have published my first research paper in the area of non-equilibrium statistical mechanics, clearly shows my ability to do research independently even in an area, where I did not have any prior training. Our research work was appreciated in differnt contexts by world's leading researchers, professors K. L. Sebastian, N. Sathyamurthy, Swapan K. Ghosh, E. Arunan, P. K. Das, Michael E. Kellman, Jeffrey A. Cina, Eli Pollak, K. Srihari, Mark S. Child & more.)****

7. Exact Solution to the curve crossing problems of two Linear diabatic potentials by Transfer Matrix Method.

Diwaker* & A. Chakraborty, Mol. Phys., vol: 113, page: 3909 (8 pages), year: 2015 [I. F. 1.96] [Cited 2] link.

6. Transfer Matrix approach to the curve crossing problems of two exponential diabatic potentials.

Diwaker* & A. Chakraborty, Mol. Phys., vol: 113, page: 3406 (11 pages), year: 2015 [I. F. 1.96] [Cited 4] link.

5. Barrierless electronic relaxation in solution: An analytically solvable model.

A. Chakraborty*, J. Chem. Phys., vol:139, page:094101 (3 pages), year: 2013 [I. F. 3.49] [Cited 15] link.

4. Multi-channel scattering problems: an analytically solvable model.

Diwaker * & A. Chakraborty, Mol. Phys., vol:110, *page:2257* (11 pages), year:2012 [I. F. 1.96] [Cited 8] link.

3. Curve crossing problem with Gaussian type coupling: analytically solvable model.

Diwaker* & A. Chakraborty, Mol. Phys., vol: 110,* page: 2197* (7 pages), year: 2012 [I. F. 1.96] [Cited 4] link.

2. Buckled nano rod: Quantum effects on its dynamics using system plus reservoir model.

A. Chakraborty*, Mol. Phys., vol: 109, *page:517* (10 pages), year:2011 [I. F. 1.96] [Cited 6] link.

1. Nonadiabatic tunneling in an ideal one dimensional semi-infinite periodic potential systems.

A. Chakraborty*, Mol. Phys., vol: 109, page: *429 (6 pages)*, year: 2011 [I. F. 1.96] [Cited 18] link.

**Research papers published from Home (2009 - 10) Total Impact Factor: 5.88 : Total Citations: 56.**

(Average Impact Factor per paper is 1.96 which is good in theoretical Chemical Physics. This is the first time I have published my own independent research work. One of the three papers was a generalization of my previous reseach paper with Prof. K. L. Sebastian but the other two papers are in an area where I did not have any paper before. )

3. Multi-channel curve crossing problems: Analytically solvable model.

A. Chakraborty*, Mol. Phys., vol: 107, page:*2459 (7 pages), year:*2009 [I. F. 1.96] [Cited 23] link.

2. Buckled nano rod: A two state system and quantum effects on its dynamics.

A. Chakraborty*, Mol. Phys., vol:107, page:*1777 (10 pages), year:*2009 [I. F. 1.96] [Cited 7] link.

1. Curve crossing effects on absorption and resonance Raman spectra: Analytical treatment for a delta-function coupling model.

A. Chakraborty*, Mol. Phys., vol: 107,* page:**165 (5 pages), year:*2009 [I. F. 1.96] [Cited 26] link.

** **

**Research papers published during Post-Doc (2004 - 09) Total Impact Factor: 7.44 : **

(Average Impact Factor per paper is 2.48 which is very good in theoretical Chemical Physics. This is due to the fact that I worked with Prof. K. L. Sebastian of IISc and Prof. M. E. Kellman of University of Oregon, both are world's leader in their respective areas. Also one of our paper's co-author is Prof. M. Tachiya - well known worldwise for his research work in theoretical chemical physics.)

3. Effective Hamiltonian for Chaotic Coupled Oscillators.

A. Chakraborty & M. E. Kellman*, J. Chem. Phys., vol:129, page: 71104 (4 pages), year: 2008 (communication), [I.F. 3.49] [Cited 11] link.

2. Buckled nano rod: A two state system and its dynamics.

A. Chakraborty, S. Bagchi & K. L. Sebastian*, J. Comput. Theor. Nanosci., vol: 4, page: *504 (10 pages) *(2007) [I.F. 0.46] [Cited 6] link.

1. The dynamics of solvation of an electron in the image potential state by a layer of polar adsorbates.

K. L. Sebastian*, A. Chakraborty & M. Tachiya, J. Chem. Phys., vol: 123, page: *214704 (7 pages), year: *2005 [I. F. 3.49] [Cited 4] link.

**Research papers published during Ph.D. (1997 - 2004) Total Impact Factor: 7.53 : Total Citations: 15.**

(Average Impact Factor per paper is 3.76 which is extremely high in theoretical Chemical Physics. This is due to the fact that I worked under Prof. K. L. Sebastian at IISc, one of the world's leader in this area and both papers are published in the top journals in theoretical chemical physics. Our papers are cited by worlds leading researchers e.g., T. Seideman (Northwestern University), C. B. Harris (University of California, Berkeley), S. Hammes-Schiffer (Yale University) & S. F. Fisher (Technische Universitat Munchen, Germany ).)

* *2. A continuum approach to electron solvation by a layer of polar adsorbates.

K. L. Sebastian*, A. Chakraborty & M. Tachiya, J. Chem. Phys., vol: 119, page:*10350 (8 pages), year:*2003 [I. F. 3.49] [Cited 5] link.

1. Dynamics of vibrational excitation in the C60 single molecule transistor.

A. Chakraborty, K. Kumar & K. L. Sebastian*, Phy. Rev. B, vol: 68, page: *085411 (6 pages), year:*2003 [I.F. 4.04] [Cited 10] link.

**"Fundamental Research - only few can do & fewer can understand."**

Dr. Aniruddha Chakraborty

School of Basic Sciences

Indian Institute of Technology Mandi

Kamand, Himachal Pradesh 175005

India

ph: +(91)1905-237930

achakrab