Faculty Member
 

Dr. Madan Mohan Panja
Associate Professor

______________________________

Department
Mathematics

 

Date of Birth Oct. 20, 1960

Academic Qualification:

8. Academic Qualification:


Degree

University/ Institute

Year of passing

Overall % score

H.S.(10+2)

W B C H S E

1979

 

B Sc.(Hons)

Cal. Univ.

1983

 

M.Sc.(Appl. Math)

Cal. Univ.

1986

 

Ph.D.

Visva-Bharati

1993

Area:Mathematical Physics

Research Experience:

Fellowship

Sponsoring Agency

Duration

JRF

UGC

1987-1989

SRF

CSIR

1989-1992

PostDoctoral

DST under SYS + CSIR RA

1993-1997

 

 College/University

During

Lecturer

TDB College, Ranigunj under Burdwan University

1997-2001

Senior Lecturer

TDB College, Ranigunj under Burdwan University

2001-2006

Reader

TDB College, Ranigunj under Burdwan University

2006-2007

Reader

Visva-Bharati

2007-2009

Associate Professor

Visva-Bharati

2009-

 

 

 

 

 

 

 

Publications

Annexure-II
List of Published Papers 

  1. M M Panja and R Dutta, Shifted large-N expansion for the energy levels of relativistic  particles,
  2.    Phys. Rev. A 38, 3937 (1988).
  1. M.M.Panja , R.Dutta and Y.P.Varshni, Shifted large-N expansion for the power-law potentials in the
  2.    Klein-Gordon equation with applications, J. Phys A.:Math. Gen. 22, 2991 (1989).

 

  1. M.M.Panja , R.Dutta and Y.P.Varshni, Shifted large-N expansion for a relativistic spin-1/2 particle in
  2.      screened Coulomb potentials, , Phys  Rev. A.. 42, 106 (1990).
  1. M.M.Panja, M.Bag ,R.Dutta and Y.P.Varshni, Large-N expansion method for a spin-1/2 particle in the
  2.     presence of vector and scalar potentials, Phys  Rev. A.. 45, 1523 (1992).

 

  1.   M.Bag , M.M.Panja, R.Dutta and Y.P.Varshni,  Application of the  shifted large-N method to the
  2.      rovibrational spectroscopy of the diatomic molecules, J. Chem, Phys 95, 1139 (1991).
  1. M. Bag, M.M.Panja,R.Dutta and Y.P.Varshni, Modified shifted large-N approach to the Morse oscillator,
  2.     Phys. Rev. A 46, 6059 (1992).

 

  1. M. Bag, M.M.Panja,R.Dutta and Y.P.Varshni, 1/ expansion for the binding energies of finite-depth
  2.     potentials, Chem. Phys. Letters 222, 46 (1994).
  1. A.Bhattacharya, P.K.Bera, M.M.Panja and B.Talukdar, Quantum defects and atomic core radii, Phys. Rev.
  2.     A 51, 841 (1995).

 

  1. M.M.Panja, P.K.Bera  and B.Talukdar,Optical theorem and Aharonov-Bohm scattering, Pramana 45,
  2.    499 (1995).
  1. A.Bhattacharya,  M.M.Panja and B.Talukdar, Atomic anapole moment in the electroweak theory, 
  2.       Phys. Rev. A 52  (1995).

 

  1. T.K.Nandi, P.K.Bera, M.M.Panja and B.Talukdar, The Dalgarno-Lewis method as a perturbation theory,
  2.      J. Phys A.:Math. Gen. 29, 1101 (1996).
  1. P.K.Bera, M.M.Panja and B.Talukdar, Isospectral interactions for three-body problems on the line,
  2.      Mod. Phys. Letts. 11, 2129 (1996).

 

  1. T.K.Nandi, P.K.Bera, M.M.Panja and B.Talukdar, Reply to comments by Au, J. Phys A.:Math. Gen.
  2.       30, 1789 (1997).
  1. M.M.Panja and B.Talukdar, Geometric phase from a combined evolution-operator-invariant technique,
  2.       J. Math. Chem. 21, 183 (1997).

 

  1. P. K.Bera, J Datta, M.M.Panja and T. Sil, Generalization of quasi-exactly solvable and
  2.      isospectral  potentials, PRAMANA 69,337(2007).
  3.  

                  Sandip Mandal , Madan Mohan Panja , Santanu Ray,  Samar Kumar Roy, Qualitative behaviour of three
species food chain around inner equilibrium point: Spectral analysis Nonlinear Analysis: Modelling
and Control, 15( 4) 459–472 (2010)

                  M M. Panja and B N Mandal, A note on one-point quadrature formula for Daubechies scale function
with partial support, Appl. Math. Comp. 218, 4147-4151 (2011)

  M M Panja and B N Mandal, Evaluation of singular integrals using Daubechies scale function,
Advances in Computatinal Mathematics and its Applications 1, 64-75  (2012).

  M M Panja and B N Mandal, Solution of second kind integral equation with Cauchy  type kernel
using Daubechies scale function, J. Comput. Appl, Math.  241, 130-142 (2013).

M M Panja and B N Mandal, Daubechies Scale Function Based Quadrature Rules For Singular
and Hypersingular Integrals with Variable Singularities, Inv. Math. Sc. 3, 144-176 (2013).
M M Panja and B N Mandal,,  On Gauss-Daubechies Quadrature Rule (Communicated)

 

List of papers published in Conference Proceedings

1.  B N Mandal  and M  M  Panja,  Daubechies scale function-based algorithm for singular integrals, J Tri.
Math. Soc. 13, 60-70 (2011).

2.  M M Panja and B N Mandal, Use of Daubechies scale function to solve second kind singular integral
equations with Cauchy kernel, J Tri.. Math. Soc. 13, 172-182 (2011).

Preprint:

 1. M M Panja, Tanmoy Maji, and G Banerji,  Lie theoretic Approach to Dissipative Nonlinear Oscillator, 2006.
2.  S Mandal and M M Panja,  Center manifold reduction and bifurcation analysis of three species food chain  (2011)

 

Current Research Interest

Participation in Seminar, Conference, symposium etc.:

  • Course and Adriatico Research Conference on Path Integration and Its Applications   held at ICTP, Trieste, Italy in Aug.- Sept. 1991,
  • Vth SERC School in High Energy Physics  held at IIT, Kanpur in 1989,
  • NBHM Winter School on Analysis, Manifold and Physics  held at Bharatidashan University in1992-’93,
  • DAE Symposium on Nuclear Physics  held at Univ. of Calicut in 1993,

      5.   National Seminar on Recent  Advances in Mathematics held at Dept. of Mathematics, 
Burdwan University in 2000,

  • Seminar on Recent Trends and Developments in Applied Mathematics held at B. E. College,

      Howrah in 2001,

  • National Seminar on Recent  Trends in Mathematics held at Dept. of Mathematics, Burdwan University in 2002,
  • National Symposium on Mathematics and its applications held at Dept. of Mathematics, Burdwan University in 2004,

9.   Advances in Mathematics and its applications held at Dept. of Mathematics, Burdwan
University in 2006,

  • Workshop on Integrable System organized by IMI, Department of Applied Mathematics,

      I I Sc, Bangalore during Feb 18-29, 2008

  • Workshop on Compact Lie Groups and their representations held at HRI, Allahabad during Nov.17-29, 2008
  • National Seminar on Advances in Nonlinear Systems held at Dept. of Mathematics, Visva-Bharati, Santiniketan during Feb.21-23,2009
  • Application of Mathematical Methods in Physical Problems, held at Dept. of Mathematics of  Sikkim Manipal Institute of Techmology, Majitar, East Sikkim during  Dec.18-23, 2009.
  • National Conference on Mathematical Analysis and Its Applications organised by Department of Mathematics, Tripura University, Tripura during January 5-6, 2011
  • National Seminar on Mathematics and Applications (NSMA - 2011), held at Dept. of Mathematics of  The University of Burdwan, WB during February 24-25, 2011.
  • National Seminar on Differential Equations: Modelling, Analysis and Computations organised by Department of Applied Mathematics, University of Calcutta during March 2-3, 2011.
  • National Seminar on Science and Nature: Tagore’s Vision and Its Relevance organised by Siksha-Bhavana, Visva-Bharati, Santiniketan during March 12-13, 2011.
  • 3rd Indo-German workshop on “ Adaptive Finite Element Method (AWAFEM 2013)” under the National Program on Differential Equations: Theory, Computation and Applications  held at Institute of Mathematics and Applications, Bhubaneswar during Feb. 22-March 2, 2013
  • National Seminar on Advances in Mathematics and Applications (AMA - 2013), held at Dept. of Mathematics of  The University of Burdwan, WB during March 6-7, 2013.
  •  Attended and delivered lectures at the Advance level workshop on “Nonlinear differential equations :Dynamics of complex systems” held at Department of Applied Mathematics, University of Calcutta during Sept. 23-28, 2013.
  • Internatinal Workshop on”Geometry of Mechanics and control theory” under NMI held at Department of Mathematics, IISc. Bangalore during Jan. 02-10, 2014.
  •  Internatinal Conference on “Emerging Trends in Mathematics” organized by Department of Applied Mathematics, University of Calcutta, during Feb.12-14, 2014.
  • Convenor (Jt.) of National Seminar on Generalizations and Approximations in Mathematics held at Dept. of Mathematics, Visva-Bharati, Santiniketan during Mar.28-29, 2008.

 

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