Wilson, Judith

Mathematics and Physics Joint Seminar

JOINT MATHEMATICS & PHYSICS COLLOQUIUM

Non-Relativistic Fermionic Quantum Mechanics (Cracking Schrödinger Nutshell)

Young Lee

Department of Physics, Texas Southern University

Young.Lee@tsu.edu

Tuesday, September 25, 2018 2:30 pm – 3:30 pmTexas Southern University Science Building, Room 146

Abstract

The non-relativistic Schrodinger equation was formulated nearly 90 years ago and has been successfully applied to various quantum mechanical systems across multiple scientific fields producing the main developments to quantum theory. The primary importance of Schrodinger’s equation arises in the implementation of the analogue of Newton’s law and continuation of classical mechanics. In the development of relativistic quantum physics, Dirac expanded the theory combining Einstein’s special relativity, quantum mechanics and the so- called fermion particle of half integer spin. This was the first theory to consistently account for special relativity within the context of quantum mechanics. In this paper, we formulate a novel mathematical approach to solve Schrodinger’s equation within the context of particle and wave theory. In our examination, we present a similar, yet unique model of fermion structure, which is consistent with the present day Dirac description. We will introduce and discuss the 1 dimensional structure of a Harmonic oscillator and free particle fermionic state. Additionally, the 3+1 dimensional structure of the fermionic state will be briefly outlined. Finally, we will compare our model with Dirac’s theory for further study. This model is not Lorentz invariant; however, the connection of classical and non-relativistic quantum theory will be explained. We will also talk about the Hydrogen atom within the framework of bound state, fermionic quantum physics.

Download the flyer .

Conference: Invitation to Mathematics

The department of Mathematics at the Texas Southern University will hold a conference on 9/22/2018-9/23/2018 with a tentative title  ‘Invitation to Mathematics’

Goals of the conference are:

  • introduce undergraduates to the research world in mathematics;
  • encourage students from underrepresented minority group to pursue Ph.D program in
    Mathematics and Mathematical Sciences;
  • show possible career paths with a math degree; and
  • provide an opportunity for undergraduates and graduates from underrepresented minority group to interact with peers from other institutions.
  • Texas Southern University

Please download the flyer or visit the conference page.

GEMS in STEM- Dr. Taylor’s achievements

Dr. Willie E. Taylor will be honored for his achievements at the African American Library this Saturday, December 9, 2017 at 2:00 pm

Jegdic, Ilija

Mathematics Department Seminar: Careers in Biostatistics by Dr. Lem Moye

Mathematics Department Seminar: Careers in Biostatistics by Dr, Lem Moye, University of Texas Health Science Center at Houston. 3-4 pm Nov. 2, SB 153. Click here to view pdf more.

Mathematics Department Colloquium

Mathematics Department Colloquium: Inverse Problems and Applications. Dr Tuncay Aksotum, University of Texas at Arlington.

 

Please download the flyer here

Williams, Jahmario

Education and Training

  • Mississippi State University – PhD in Mathematical Sciences (August 2013) Concentration: Partial Differential Equations, p-Laplacian Equations Dissertation Advisor: Dr. Hai Dang
  • Mississippi State University – Master of Science in Mathematics, 2008 Graduated Summa Cum Laude Thesis Title: An anti-maximum principle for the Sturm Liouville boundary value problem Thesis Advisor: Dr. Hai Dang
  • University of Mississippi – Bachelor Degree in Mathematics, 2006

Biography

Dr. Williams was born in Greenwood, MS.

Honors and Awards

  • Faculty Appreciation Award from the James Worth Bagley College of Engineering and Mississippi State University, May 2011.
  • Outstanding Graduate Student Award, Department of Mathematics and Statistics, Mississippi StateUniversity, May 2008.
  • Master recipient of AGEM (Alliance for Graduate Education in Mississippi) scholar from MississippiState University, May 2008.
  • Recipient of Pi Mu Epsilon (National Math Honors Society) scholar from University of Mississippi,May 2006.
  •  McCleary Teaching Excellent Award, May 10, 2016.
  • Texas Southern University College of Science, Engineering and Technology Distinguished

       Teaching Award, April 28, 2016.

Research Interests

Partial Differential Equations, Applied Mathematics, & Difference Equations

Recent Publications (2 out of a total of 4)

  • “On the Solutions of a System of Nonlinear Difference Equations”, Int. J. Difference Equ. 10(2), 161 (2015).
  • “Positive radial solutions for a class of singular p-Laplacian system in a ball”, J. Math. 12(3), 791 (2015).
  • “Positive radial solutions for a class of quasilinear boundary value problems in a ball” with D. Dang, Nonlinear Analysis, 75(4), 1744 (2012).

Presentations

  • “Positive Radial Solutions for a class of Quasilinear Boundary Value Problems in a ball”, at the University of Houston April 17, 2015
  • “Positive Radial Solutions for a class of Quasilinear Boundary Value Problems in a ball”, at the Praire View A&M University April 24, 2015.
  • “Positive radial solutions for a class of quasilinear boundary value problems in a ball”, at the 35th Annual Texas Partial Differential Equations Conference held March 3-4, 2012.
  • “An anti-maximum principle for the Sturm Liouville boundary value problem”, at the 2009 Differential Equation Weekend in Memphis, November 9, 2011. Invited to a workshop on “Computational Wave Propagation” at Michigan State University held June 7-25, 2010.
  • “Euler’s formula”, at the University of Mississippi Pi Mu Epsilon (National Math Honors Society) held April 2006.

Wu, Tong

Education and Training

  • Ph. D Mathematics Study, University of Houston, Texas (finished 34 Hours)
  • M. S. in Mathematics, Texas Southern University, Houston, Texas, 1992
  • M. S. in Computer Science, Harbin Institute of Technology, Harbin, China, 1987
  • B. S. in Computer Science, Harbin Science & Technology University, China, 1984

Biography

University Activities

Teaching College Algebra, Business Calculus with Applications,
Trigonometry, PreCalculus, Mathematics for Elementary School Teachers,
Calculus, Number Theory

Teaching to use Calculators: T1-83 , TI-92

Teaching to use Mathematical Softwares: Maple, Derive, MS Excel

Prepare Secondary Mathematics Pre-Excel Exams

A member of Department Core Curriculum committee

Memberships in Professional Organizations:
Mathematical Association of America
National Council of Teachers of Mathematics

Research Interests

Research/Scholarly Activities

Recent Publications (out of a total of xxx)

Parametric Equations Describe Curves, April 20001, Vision – Potential

Watering Horses, January, 1997, Vision – Potential

Funding

Wang, Yunjiao

Education and Training

  • Ph.D., Mathematics, August 2006 University of Houston, Houston, TX, USA
  • M.S., Mathematics, June 2000 Zhejiang Normal University, China
  • B.S., Mathematics, June 1997 Zhejiang Normal University, China

Research Interests

My research is in the area of nonlinear dynamical systems with focuses on theory on dynamics of networks of differential equations and its applications. Currently, I work on

    • Theory of coupled cell systems
    • Dynamics of network motifs
    • Dynamics of generalized rivalry network
    • Data Science

External Grants

  1. NSF(CNS-1831980) – Excellence in Research: Collaborative Research: Strengthen the Foundation of Big Data Analytics via Interdisciplinary Research among HBCUs ($466,515) 10/1/2018 – 9/30/2021, PI at TSU Yunjiao Wang; co-PI at TSU: Daniel Vrinceanu, Leading Institution: Prairie View A&M , PI: Lei Huang
  2. NSF – Conference: Invitation to Mathematics ($ 17,312). 8/1/2018 – 7/31/2019,  (PI: Saydam, co-PI: Wang).
  3. NSF – Research Initiation Award: Studying the Dynamics of Network Systems by Using

    Ordinary Differential Equations and Boolean Frameworks ($283,194). 5/1/2018 – 4/30/2021, PI

  4. DHS – Preparing Technically Savvy Homeland Security Professionals for maritime  transportation security ($800,000). 9/1/2014 – 8/30/2019 (PI: Yi Qi, Co-PIs: Miao Pan, Yunjiao Wang)

Internal Grant

Seeds Grant at Texas Southern University ($8,000), 2015.

Recent Publications

M. Golubitsky, Y. Zhao, Y. Wang and Z. Lu. The Symmetry of Generalized Rivalry Network Models Determines Patterns of Interocular Grouping in Four-Location Binocular Rivalry, J. Neurophysiology. Sept. 18, 2019 (doi:10.1151/jn.00438.2019).

A. Ben-Tal, Y. Wang, and M. C. Leite. The logic behind neural control of breathing pattern. Scientific Reports 9: 9078, 2019. (doi.org/10.1038/s41598-019-45011-7)

Y. Wang, K. Chilakamarri, D. Kazakos and M. C. Leite. Relations between dynamics of network systems and their subnetwork systems.AIMS Mathematics, 2(3): 437-450, 2017

Y. Wang, B. Omidiran, F. Kigwe and K. Chilakamarri. Relations between the conditions of admitting cycles in Boolean and ODE network systems, Involve, Vol.10, No.5, (2017),813. DOI 10.2140/involve.2017.10.813 (B. Omidiran and F. Kigwe were two undergraduates).

A. Jacot-Guillarmod, Y. Wang, C. Pedroza, H. Ogmen, Z. Kilpatrick, K. Josic. Extending Levelt’s Propositions to perceptual multistability involving interocular grouping. Vision Research. Volume 133, April 2017, Pages 37-46.

C. Diekman, M. Golubitsky and Y. Wang. Derived Patterns in Binocular Rivalry Networks. J. Math. Neuro. (2013)

C. Diekman, M. Golubitsky, T. McMillen and Y. Wang. Reduction and dynamics of a generalized network with two learned patterns. SIAM J. Appl. Dynam. Sys.11 (4) (2012) 1270-1309.

M. Golubitsky, D. Romano, and Y. Wang. Network Periodic Solution: Rigid phase shift. Nonlinearity. 25 (2012) 1045-1074.

Y. Wang, P.Paszek, C. A. Horton, H. Yue, M. R.White, D.B. Kell, M. R. Muldoon and D.S. Broomhead. A systematic study of the response of a NF-kappaB signalling pathway to TNFalpha stimulation. 297 (2012) 137-147. Journal of Theoretical Biology

Y. Wang, P. Paszek, C. A. Horton, D. B. Kell and M. R. White, D. S. Broomhead and M. R. Muldoon. Interactions among oscillatory pathways in NF-kappaB signalling. 5(23), 2011.BMC Systems Biology

Travera, Papa

Research Interests

Taylor, Willie

Education and Training

  • BS IN MATHEMATICS, PRAIRIE VIEW A&M UNIVERSITY,1966
  • MS IN MATHEMATICS, PRAIRIE VIEW A&M UNIVERSITY,1967
  • PHD IN MATHEMATICS, UNIVERSITY OF HOUSTON,1974

Biography

Research Interests

Research/Scholarly Activities

SELECTED PUBLICATIONS* (Total number of Publications = 41)

Structure of the Solution Space of Certain Linear Equations, JDE 59(1985), 229 242 (with G.J. Etgen and G.D. Jones)

On the Factorization of Ordinary Linear Differential Operations, TAMS 297(1986), 717 728 (with G.J. Etgen and G.D. Jones)

Asymptotic Behavior of Solutions of a Third Order Difference Equation Portgualiae Mathematica 44(1987), 113 117 (with B. Smith)

Fourth Order Difference Equations: Oscillation and Nonoscillation, Rocky Mountain Journal of Mathematics 23(1993), 781 795

Oscillation Properties of Nonlinear Difference Equation, Portugaliae Mathematica 52(1995), 15 24 (with M. Sun)

Funding

Saydam, Azime

Education and Training

  • Ph.D. Mathematics, December 1998, University of Nebraska-Lincoln, Lincoln NE.
  • M.S. Mathematics, December 1991, University of Nebraska-Lincoln, Lincoln NE.
  • B.S. Mathematics, June 1985, Ege University, Izmir, Turkey.

Biography

Azime Serpil Saydam, TSU Associate Professor and Department Chair of Mathematics, began working at TSU in January 2011. She earned a Ph.D. in mathematics from the University of Nebraska at Lincoln. Her research areas are commutative algebra, algebraic geometry, commutative rings, and computational algebra. She had been Assistant Professor, tenured Associate Professor, Assistant Department Head, and Department Head of Mathematics and Physics at University of Louisiana at Monroe for 11 years.

Research Interests

Recent Publications (out of a total of 14)

  1. The spectra of birational extensions of two dimensional power series rings with C. Eubanks-Turner and M. Luckas, Communications in Algebra, submitted, January 2011.
  2. Assessing the Performance of College Algebra Using Modularity and Technology: A Two Year Case Study of NCATs Supplemental Model with A. Dale Magoun, David Hare, Charlotte H. Owens, Elizabeth T. Smith, SITE 2010 Conference Proceedings, March 29, 2010.
  3. [LINK] [http://www.editlib.org/index.cfm?fuseaction=Reader.ViewAbstract&paper_id=28475] Reversing the pattern of low performance in college algebra using the National Center for Academic Transformations’ Roadmap to Redesign approach with A. Dale Magoun, Charlotte H. Owens, Elizabeth T. Smith, ED-MEDIA 2008 Conference Proceedings,Vienna,Austria June 30, 2008.
  4. iCAM&T – Integrating college algebra with modularity and technology with A.Dale Magoun, Stephen P. Richters, Charlotte H. Owens, Elizabeth T. Smith, SITE 2008 Conference Proceedings, March 5, 2008.
  5. On the ascent of completely integrally closed property to simple overrings with A.J. Hetzel, Communications in Algebra 34 no 11(2006), pp. 4157-4165.

Floyd, Quantas

Education and Training

  • August 1996- August 2000 Texas Southern University, Houston Texas Bachelor of Science, Mathematics- Cum Laude
  • August 2008- May 2015 Texas Southern University, Houston, Texas Masters of Education

Research Interests

Obot, Victor

 

Education and Training

  • *Ph. D. Geophysics 1987 University of Tulsa, Tulsa Oklahoma
  • *M. Sc. Physics 1978 Wright State University, Dayton Ohio
  • *B. Sc. Physics 1975 Eastern Mennonite University, Harrisonburg, Virginia

Biography

NULL

Research Interests

Field 1, Field 2, Field 3

Recent Publications ## (5 out of 31)

B. Wilson, V. Obot, and W. E. Taylor, (2009), “A Model for Improving Graduation and Retention Rates for STEM Students at an HBCU” in Models for Success, 3rd Edition (Published by TMCF 2009)

R.Weinstein, R.P Sawh, J. Liu, D. Parks, V. Obot and H. Weber, “Threshold for creation of ionazation pinning centers in YBCO by heavy ions,” Physica C:357-360 (2001) 743-746

R. Sawh, R.Weinstein, Y. Ren, V. Obot, and H. Weber “Uranium fission fragment pinning and centers in melt textured YBCO,””Physica C: 341-348(2000) 2441-2442

V. Obot, R. Weinstein, Y. Ren, J. Liu, R. Sawh and G. Johnson,”Development and Fabrication of High T Trapped Fields Magnents” Jour. National Tech. Assoc., 69(3) 17, (1995)

Y. Ren, J. Liu, R. Weinstein, V. Obot, and C. Foster, “Quasi permantent superconducting magnet of very high feild”, J. Appl. Phys. 73(10),6533,(1993)

Funding

GRANTS

“Radiation Interuniversity Science and Engineering Program” $75,000. National Aeronautics and Space Administration (NASA). (6/1/2007 – 5/31/2008)

“Science and Technology Enhancment Program (STEP)’. $2,500,000 National Science Foundation (NSF) (9/1/2006 – 8/31/2011) Co-PI with Bobby Wilson as PI.

“Radiation Interuniversity Science and Engineering Program” $37,500. National Aeronautics and Space Administration (NASA). (6/1/2006 – 5/31/2007)

“Magnetic separation of erythocytes from human blood.” $23,809. TSU seed grant(2002).

“R and D on Accelerators” $19,000. TNRLC (1992)