Faculty Profile

Name
Dr. ABHIJIT BANERJEE
Designation
Associate Professor
Department
Mathematics
Mobile
8768642056
Email
abhijitbanerjee@garhbetacollege.ac.in
Biography
Academic Interest
Mathematical Physics, Quantum theory, Multicomplex analysis
VIDWAN Profile
ORCID Profile

Details of experience

PostOrganization / College / UniversityDuration : From DateDuration : To DateExperience (In Years and Months)
Junior Research fellow8000Department of Applied Mathematics, University of CalcuttaResearch fellow1 yr. 3 months
Lecturer in mathematics8000-13500Krishnath CollegeUG teaching10 months
Assistant Professor (Grade-I) in mathematics15600-39100, Grade pay 6000Krishnath CollegeUG teaching5 yr 2 months
Assistant Professor (Grade-II) in mathematics15600-39100, Grade pay 7000Krishnath CollegeUG teaching5 yrs
Assistant Professor (Grade-III) in mathematics15600-39100, Grade pay 8000Krishnath CollegeUG teaching3 yr
Assistant Professor (Grade-III) in mathematics15600-39100, Grade pay 8000Garhbeta CollegeUG, PG teaching8 months
Associate Professor in Mathematics131400-217100Garhbeta CollegeUG, PG teachingcontd..

Educational Qualification(In chronological order from latest to Graduation level)

Qualification (In chronological order from latest to Graduation level)College / UniversityYearSubject (s) / Topic (s)
Ph.D.University of calcutta2013Applied mathematics
NET CSIR UGC2002MATHEMATICAL SCIENCE
Post GraduationJadavpur University2003Mathematics
GraduationVidyasagar University2001Honours in Mathematics

Administrative Experience/Post(s) & responsibilities held

PostOrganization / College / UniversityDuration : From DateDuration : To DateExperience (In Years and Months)
Member of UGBOSUniversity of Kalyani2010-12-232017-06-136 years 6 months
Member of PGBOSGarhbeta College2019-03-302025-02-01continuing

Scholarly Achievements : Contribution to Journals and Books

Contribution to Journals and BooksDetails of Journals and Books
Books authoredAnalytical statics published by Techno world Kolkata ISBN 978-93-88347-17-4

Scholarly Achievements : Publications in recognized professional and / or academic journals

TitleName of journalYear of publicationVolumeIssuePageDOIWhether in UGC-CARE List
BICOMPLEX MODULES WITH INDEFINITE INNER PRODUCTADVANCES IN APPLIED CLIFFORD ALGEBRAS201929551-2510.1007/S00006-019-0975-YYes
EXACT BOUND STATE SOLUTIONS FOR THE BICOMPLEX MORSE OSCILLATORAMERICAN INSTITUTE OF PHYSICS CONFERENCE PROCEEDINGS20181975 030001DOI.ORG/10.1063/1.5042171Yes
Relativistic scattering of fermions in quaternionic quantum mechanicsEuropean Physical Journal C201777 581DOI 10.1140/epjc/s10052-017-5154-5Yes
PERIODIC HAMILTONIAN HIERARCHIES AND NON-UNIQUENESS OF SUPERPOTENTIALSPRAMANA– J. PHYS201788 1DOI 10.1007/S12043-016-1302-YYes
Bicomplex Harmonic and Isotonic Oscillators: The Excited StatesAdv. Appl. Clifford Algebras201727 2321doi.org/10.1007/s00006-017-0772-4Yes
On the quantum mechanics of bicomplex Hamiltonian systemAnnals of Physics2017377 49310.1016/j.aop.2017.01.006Yes
Bicomplex hamiltonian systems in quantum mechanicsJournal of Physics A: Mathematical and Theoretical201548 50520110.1088/1751-8113/48/50/505201Yes
A generalized Swanson Hamiltonian in a second-derivative pseudo-supersymmetric frameworkInternational Journal of Modern Physics A201530 155003710.1142/S0217751X15500372Yes
CPT-conserved effective mass Hamiltonians through first and higher order charge operator in a supersymmetric frameworkJOURNAL OF MATHEMATICAL PHYSICS201354 02210110.1063/1.4792472Yes
AN UNBROKEN PSEUDO-BOSONIC SYSTEM UNDER THE SECOND DERIVATIVE AND POLYNOMIAL SUPERSYMMETRYJOURNAL OF EMERGING TECHNOLOGIES AND INNOVATIVE RESEARCH (CONFERENCE PROCEEDINGS)20185 220 Yes
Inverse Fourier Transform for Bi-Complex VariablesMalaya Journal of Matematik20164 263 Yes
Hamiltonians with position-dependent mass, deformations and supersymmetryBulgarian Journal of Physics200633 308 Yes
PT-symmetric quartic anharmonic oscillator and position-dependent mass in a perturbative approach Czechoslovak Journal of Physics (Presently European Physical Journal)200656 89310.1007/s10582-006-0385-yYes
A PERTURBATIVE TREATMENT OF A GENERALIZED PT-SYMMETRIC QUARTIC ANHARMONIC OSCILLATORModern Physics Letters A200520 301310.1142/S0217732305018475Yes
INVERSE LAPLACE TRANSFORM FOR BI-COMPLEX VARIABLESMathematical Inverse Problems20141 8 No
Fourier Transform for Functions of Bicomplex VariablesASIAN JOURNAL OF MATHEMATICS AND APPLICATIONS20152015 1 No
CPT-CONSERVING HAMILTONIANS AND THEIR NONLINEAR SUPERSYMMETRIZATION USING DIFFERENTIAL CHARGE-OPERATORS CInternational Journal of Modern Physics A200520 710710.1142/S0217751X05022901Yes
Deformed shape invariance and exactly solvable Hamiltonians with position-dependent effective massJournal of Physics A: Mathematical and General (Presently Journal of Physics A: Mathematical and Theoretical)200538 292910.1088/0305-4470/38/13/008Yes
BICOMPLEX GENERALIZED HYPERGEOMETRIC FUNCTIONS AND THEIR APPLICATIONSJOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS202555011-3510.1016/J.JMAA.2025.129490Yes

Scholarly Achievements : List of articles in popular magazines or newspapers

TitleName of Magazine / NewspaperMonth and year of publication
EUCIDER PANCHAM SWATOSIDDHA (EUCLID FIFTH AXIOM)DHRUBATARADECEMBER 2022
Kepler o bibaha samasya (Kepler & Marriage problem)DhrubataraDecember 2024

Scholarly Achievements : Participation and scholarly presentations in conferences

Start DateEnd dateTitle of conferenceInstitue/organisation with addressTitle/subject of presentationLevel
2018-04-262018-04-27International conference on Frontiers in Industrial and Applied MathematicsIndian Society of Industrial and Applied Mathematics & Department of Mathematics, NIT HamirpurExact bound state solutions for the bicomplex Morse oscillator1
2016-12-272016-12-3082nd Annual conference of the Indian Mathematical SocietyIndian Mathematical Society and Department of Mathematics, University of KalyaniBicomplex quantum mechanics: Hyperbolic polynomial oscillator problem2
2016-12-092016-12-11INTERNATIONAL CONFERENCE ON APPLICATIONS OF MATHEMATICS IN TOPOLOGICAL DYNAMICS, PHYSICAL, BIOLOGICAL AND CHEMICAL SYSTEMSCALCUTTA MATHEMATICAL SOCIETYPolynomial SSUSY model for Swansons Hamiltonian under generalized quantum condition1
2015-12-172015-12-19National conference on emerging trends in mathematics and mathematical sciencesCalcutta Mathematical SocietyNonuniqueness of superpotentials in a closed hierarchy of periodic Hamiltonian2
2017-12-052017-12-07International conference on Geometry and Mathematical models in complex phenomenaCalcutta Mathematical SocietyConstruction of PT asymmetric Hamiltonians for the different polynomial realisation of V-operator1
2014-12-192014-12-21International conference on current developments in mathematics and mathematical sciencesCalcutta Mathematical SocietyQuantum mechanics of bicomplex harmonic oscillator in one dimension1
2005-02-172005-02-18TWO DAY SYMPOSIUM ON QUANTUM MECHANICS IN THE PERSPECTIVE OF MODERN TRENDSDepartment of Applied Mathematics, UNIVERSITY OF CALCUTTAC OPERATOR IN PT SYMMETRIC QUARTIC ANHARMONIC OSCILLATOR2
2016-01-212016-01-22National seminar on recent developments in mathematics and its applicationsDepartment of Mathematics, University of KalyaniGeneration of two different closed hierarchies of periodic Hamiltonians of period N=1,2,3 2
2014-03-042014-03-05National seminar on mathematics and its applications Department of Mathematics, University of KalyaniA perturbative treatment for C operator in a PT symmetric quartic oscillator2
2013-03-082013-03-08National seminar on recent trends in MathematicsDepartment of Mathematics, University of KalyaniCPT conservation of position dependent mass BDD Hamiltonians through first order charge operator C in supersymmetric framework2
2016-12-172016-12-17EMERGING ADVANCES IN MATHEMATICS AND THEIR APPLICATIONS IN NATURAL SCIENCESSRIPAT SINGH COLLEGE, JIAGONJ, MURSHIDABAD IN ASSOCIATION WITH KRISHNATH COLLEGE, BERHAMPORE, MURSHIDABADPSEUDO SUSY MODEL FOR GENERALIZED SWANSONS HAMILTONIAN2
2013-11-222013-11-23UGC sponsored State Level seminar on Quantum mechanics: Theoretical concepts and applicationsDumkal College, MurshidabadCPT conservation of position dependent effective mass Hamiltonians through first order charge operator C in Supersymmetric frameworok3

Research Projects

Project Reference No.Approved DurationStart DateSanctioned AmountSanctioned Project Fellow/Assistant StatusClient/ Sponsoring Agency NameNature of Project
ECR/2017/000102 (Started in Krishnath College on 12.03.2018 and transferred to Garhbeta College on 30.03.2019 )3 years2018-03-12Rs.18,25,560 overall and among this Rs 7,57,788 for the period running in Garhbeta College Sanctioned one project fellow1SERBMajor (Early Career Research Award)
F. PSW-095/14-15 (ERO) dated 03.02.20152 Years2015-02-25Rs. 2,20,00001University Grants CommissionMinor