B.Sc. in Mathematics Honours
M.Sc. in Applied Mathematics
PhD in Quantum Mechanics from ISI Kolkata and thesis submitted at JU

Professional Recognition/ Award/ Prize/ Certificate, Fellowship received
1. Nripendranath Sen Scholarship CMS, Kolkata June 2004- May 2005
2. National Scholarship Govt. India. 2003-2004
3. ISI, JRF ISI, Kolkata 28/07/2005-18/12/2006
4. CSIR-UGC, JRF CSIR-UGC 2004
5. Reviewer award AMM, Elsevier April, 2017
6. Reviewer award IJQC, Wiley February, 2020
7. TARE SERB - DST TAR/2021/000142
for 14/12/2021-13/12/2024

Quantum information, cavity quantum electrodynamics, supersymmetric quantum mechanics, nonlinear optics, nonlinear dynamics, Linear Stability Analysis, Solitons, Numerical Simulation, Thermodynamics, Superstatistics, Rovibrational energy of diatomic molecules

Collaboration research work:
Ongoing
3. Working with Prof. Ramon-Carbo Dorca, University of Girona, Institute of Computational Chemistry and Catalysis, Spain, since 2020- continue.
2. Working with Dr. A.K. Roy, IISER, Kolkata, since 2020- continue.
1. Working with Dr. A. Das, University of Kalyani, since 2019- continue.

Completed
2. With Prof. P. Roy, Prof. B. Roy and Prof. R. Roy Chowdhury, ISI Kolkata 2014-2018.
1. With Prof. P. K. Das, ISI Kolkata 2005-2013.

Reviewed many papers of international journals
11. Heliyon, Cell Press
10. Indian Journal of Physics, Springer
9. Chemical Physics Impact, Elsevier
8. The Euro Phys Journal Plus, Springer
7. Scientific Reports, Springer
6. Nonlinear Dynamics, Springer
5. Journal of Physics Communications, IOP
4. Physica Scripta, IOP
3. Advances in Difference Equations, Springer
2. Applied Mathematical Modeling, Elsevier
1. International Journal of Quantum Chemistry, Wiley

Project:
Ongoing:
1. TARE: Thermal properties and information theoretic measures of atomic and molecular potentials: free and confined environment, under SERB - DST grant number TAR/2021/000142 is working for three years 14/12/2021 - 13/12/2024

Completed
2. VC: A study of solvable time dependent potentials with moving boundary conditions, under Vivekananda College grant number VC/RGC/10/19 for one year 2019-2020 is completed.
1. VC: A study of shape invariant solvable potentials, under Vivekananda College grant number VC/RGC/06/16 for one year 2016-2017 is completed.

1. Head Department of Mathematics 2012-2015
2. Head Department of Mathematics 2020-2023
3. Acted as a OIC for conducting Semester 1 Examination 2018 of CU
4. Head Examiner of CU Examination GE1/CC1 2022
5. Head Examiner of CU Examination GE1/CC1 2023
6. Examiner of CU Examination SEC B Boolean Algebra 2022

17 Years
Associate Professor 2020-continue
Assistant Professor 2006-2020

Two PhD students are working under my supervision

(i) Life Member of Indian Statistical Institute, Kolkata
(ii) Life Member of Calcutta Mathematical Society, Kolkata
(iii) Life Member of Advanced Centre for Nonlinear and Complex Phenomena, Kolkata

4. Rovibrational energy and quantum similarity of diatomic molecules under a new approximation, Scientific Meet on Recent Trends in Applied Sciences, Physics and Applied Mathematics Unit, Indian Statistical Institute, Kolkata, during 4-5 January, 2024, India.
3. Linear stability analysis of (1+1)-dimensional nonlinear SchrÖdinger equation with periodic potentials, International Conference on Mathematical Sciences and Applications (ICMSA 2020) February 26-28, 2020, University of Kalyani, India.
2. Nonlinear Schrodinger equation with complex supersymmetric potentials, International Workshop on Supersymmetries and Quantum Symmetries (SQS’2015), Joint Institute for Nuclear Research, Dubna, August 03-08, 2015, Russia.
1. Information entropy of a three level atom in cavity of quantized electromagnetic field, National Workshop on Recent Developments in Quantum Theories, Under UGC Networking Program, February 20-24, 2015, Department of Physics, BHU, India.

2024
41. D. Nath, N. Ghosh, A.K. Roy, Information theoretic measures in one-dimensional Dunkl oscillator, Accepted J. Math. Phys.
40. N. Ghosh, A. Das, D. Nath, Stability analysis of multiple solutions of three wave interaction with group velocity dispersion and wave number mismatch, Nonlinear Dynamics https://doi.org/10.1007/s11071-024-10031-0


2023
39. D. Nath Superstatistics of anisotropic oscillator in a noncommutative plane, Physica A 626, 129031, 2023
38. N. Ghosh, A.Das, D. Nath, On the Expression of Composite Natural Numbers as Tensorial Products of Prime Natural Powers Vectors, J. Appl. Math. Phys. 11, 1728, 2023
37. D. Nath, R. Carbo-Dorca A study of Fermionic Cooper Pairs, J. Math. Chem. 61, 1916, 2023
36. D. Nath, R. A.K. Roy Information theoretic measures in Makarov potential, Eur. Phys. J. Plus 138, 395, 2023
35. D. Nath, R. Carbo-Dorca Information-theoretic spreading measures of a particle confined in a 3D infinite spherical well, J. Math. Chem. 61, 1683, 2023
34. D. Nath, A.K. Roy, Average energy and Shannon entropy of a confined harmonic oscillator in a time-dependent moving boundary, J. Math. Chem. 61, 1491, 2023
33. D. Nath, A.K. Roy, Energy and information-entropic measures of Hulthen potential in D dimension by a new approximation to centrifugal term, J. Math. Chem. 61, 835, 2023
32. D. Nath, R. Carbo-Dorca, Quantum similarity index and Renyi complexity ratio of Kratzer type potential and compared with that of inverse square and Coulomb type potentials, J. Math. Chem. 61, 435, 2023
31. N. Ghosh, A. Das, D. Nath, Stability analysis of multiple solutions of nonlinear Schr¨odinger equation with PT - symmetric potential Nonlinear Dyn. 111, 1589, 2023

2022
30. D. Nath, A. K. Roy, Time-correlation function and average energy of molecules in presence of Deng-Fan potential in a moving boundary Nonlinear Dyn. 110, 1597, 2022
29. D. Nath, Study of uncertainty, average energy, and thermodynamic quantities of the time dependent quantum system, J. Math. Chem. 60, 1819, 2022
28. D. Nath, R. Carbo-Dorca, Analysis of solutions of time-dependent Schrodinger equation of a particle trapped in a spherical box, J. Math. Chem. 60, 1089, 2022
27. R. Carbo-Dorca, D. Nath, Average energy and quantum similarity of a time dependent quantum system subject to Poschl-Teller potential, J. Math. Chem. 60, 440, 2022
26. D. Nath, An introduction to analysis of Renyi complexity ratio of quantum states for central potential, Int. J. Quantum Chem. 122, e26816, 2022


2021
25. D. Nath, A. K. Roy, Analytical solution of D dimensional, Schrodinger equation for Eckart potential with a new improved approximation in centrifugal term, Chem. Phys. Lett. 780 138909 2021
24. D. Nath, A. K. Roy, Ro-vibrational energy analysis of Manning-Rosen and Podchl-Teller potential with a new improved approximation in the centrifugal
term, Euro Phys J. Plus 136 430 2021
23. D. Nath, A. K. Roy, Ro-vibrational energy and thermodynamic properties of molecules subjected to Deng-Fan potential through an improved approximation,
Int. J. Quantum Chem. 121, e26616, 2021
22.P. Ghosh, D. Nath, Generalized quantum similarity index: An application to pseudoharmonic oscillator with isospectral potentials in 3D, Int. J. Quantum
Chem. 121, e26517, 2021
21. P. Ghosh, D. Nath, Localization effect on R´enyi complexity of Kratzer potential in the presence of Aharonov-Bohm field, Int. J. Quantum Chem. 121, e26461, 2021


2020
20. D. Nath, P. Roy, Time-dependent rationally extended Poschl-Teller potential and some of its properties, Euro Phys. J. Plus 135, 802, 2020
19. A. Das, N. Ghosh, D. Nath, Stable modes of derivative nonlinear Schrodinger equation with super-Gaussian and parabolic potential, Phys. Lett. A 384, 126681 2020
18. P. Ghosh, D. Nath, Exact solutions and spectrum analysis of a noncentral potential in the presence of vector potential, Int. J. Quantum Chem. 120, e26153. 2020
17. P. Ghosh, D. Nath, Information theoretic measures of uncertainty of a noncommutative anisotropic oscillator in a homogeneous magnetic field, Physica A 538, 122791, 2020



2019
16. D. Nath, P. Ghosh, A generalized statistical complexity based on Renyi entropy of a noncommutative anisotropic oscillator in a homogeneous magnetic field, Int. J. Mod. Phys. A 34, 1950105, 2019
15. P. Ghosh, D. Nath, Complexity analysis of two families of orthogonal functions, Int. J. Quantum Chem. 119, e25964, 2019


2018
14. D. Nath, N. Saha, B. Roy, Stability of (1+1)-dimensional nonlinear Schrodinger equation with elliptic potentials, Euro Physics Journal Plus 133, 504, 2018
13. D. Nath, M. Presilla, O. Panella, P. Roy, Non-commutativity effects in the Dirac equation in crossed electric and magnetic fields, Eur. Phys. Lett. 123, 20008, 2018



2017
12. D. Nath, Y. Gao, R. Babu Mareeswaran, T. Kanna, B. Roy, Bright-dark and dark-dark solitons in coupled nonlinear Schrodinger equation with PT - symmetric potentials, Chaos 27, 123102, 2017
11. D. Nath, P. Roy, κ- deformed Dirac equation in crossed magnetic and electric fields, Euro Phys. J. Plus 132, 415, 2017
10. D. Nath, P. Roy, Nonlinear Schrodinger equation with complex supersymmetric Potentials, Phys. Part. Nuclei Lett. 14, 347, 2017
9. D. Nath, B. Roy, R. Roychoudhury, Periodic waves and their stability in competing cubic-quintic nonlinearity, Opt. Communications 393, 224, 2017
8. D. Nath, P. Roy, Noncommutative anisotropic oscillator in a homogeneous magnetic field, Ann. Phys. (NY) 377, 115, 2017



2016
7. D. Nath, P. Roy, Exact localized solutions of (1+ 1)-dimensional nonlinear Schrodinger equation with complex PT - symmetric potentials and power-law nonlinearity, J. Nonlinear Opt. Phys. Materials 25, 1650036, 2016


2015
6. D. Nath, B. Roy, R. Roychoudhury, PT symmetric nonlinear optical lattice: Analytical solutions, Chaos, Solitons & Fractals 81, 91, 2015


2014
5. D. Nath, P. Roy, Dirac oscillator in perpendicular magnetic and transverse electric fields, Ann. Phys. (NY) 351, 13, 2014
4. D. Nath, Information theoretic spreading measures of the symmetric trigonometric Rosen–Morse potential, Phys. Scripta 89, 065202 2014


2013
3. D. Nath, Information theoretic spreading measures of orthogonal functions, J. Math. Chem. 51, 1446, 2013


2012
2. D. Nath, P.K. Das, Wehrl entropy of the state in a two-atom Tavis-Cummings model, Banach Center Publications 96, 277, 2011


2011
1. D. Nath, P.K. Das, Interaction of a three-level atom with a singlemode field in a two photon resonant cavity, Int. J. Mod. Phys. B 25, 417, 2011