PHYS 7212

ADVANCED TOPICS IN MATHEMATICAL METHODS OF THEORETICAL PHYSICS II

(PREREQUISITE: PHYS 4112 OR EQUIVALENT)

SPRING 2014

CLASS: 11:30AM–12:30PM MWF NICH 435

Prof. Jonathan P. Dowling

Office Hours: 12:30PM–1:00PM MWF

Grader: Kaushik Seshadreesan


REQUIRED BOOK:

Elements of Green's Functions and Propagation: Potentials, Diffusion, and Waves
by
Gabriel Barton
Oxford University Press (1989) and Reprinted (2005)
ISBN13: 9780198519980, ISBN10: 0198519982


RECOMMENDED BOOKS:

Green's Functions in Statistical Physics at Thermal Equilibrium
by
Alexander L. Fetter, John Dirk Walecka
Courier Dover Publications, 2003, ISBN:  0486428273

Nonequilibrium Green’s Functions
by
    Karsten Balzer, Michael Bonitz


REQUIRED SOFTWARE:
Acrobat Reader 9.1 (PDF) & Mathematica 7.01 (NB)
Available in PAWS 
Tigerware!

NRL PLASMA FORMULARY
GRAD, DIV, CURL, AND ALL THAT!



COURSE GRADE:
100% Homework

SYLLABUS


BARTON

Part I: Introduction
Chapter 01: The Dirac Delta Function
Chapter 02:  Ordinary Differential Equations
Chapter 03: Partial Differential Equations

Part II: Potentials
Chapter 04: Poisson's Equation I — Introduction
Chapter 05: Poisson's Equation II — Dirichlet Boundary Conditions
Chapter 06: Poisson's Equation III — Neumann Boundary Conditions

Chapter 07: Poisson's Equation IV — Points of Principle

Part III: Diffusion
Chapter 08: The Diffusion Equation I — Unbounded Space
Chapter 09: The Diffusion Equation II — General Theory and Schrödinger's Equation

Part IV: Waves
Chapter 10: The Wave Equation I — General Theory
Chapter 11: The Wave Equation II — Unbounded Space
Chapter 12: The Wave Equation III — Retarded and Advanced Solutions, Radiating Sources, Boundaries and Reflections

Part V: The Helmholtz Equation
Chapter 13: Kirchoff Wave-Diffraction Theory


FETTER AND WALECKA


BALZER AND BONITZ

HOMEWORK         ASSIGNED         DUE           _________SOLUTIONS_____________________________________
HW01                            WED 15 JAN    MON 27 JAN                    HW01SOL
HW02                             MON 27 JAN   MON 03 FEB                    HW02SOL
HW03                             MON 03 FEB   MON 10 FEB                    HW03SOL
HW04                             FRI 14 FEB       FRI 21 FEB                      HW04SOL
HW05                             FRI 21 FEB       FRI 07  MAR                   HW05SOL
HW06                             FRI 07 MAR     FRI 14 MAR
HW07                             FRI 14 MAR      FRI 21 MAR
HW08                             FRI 21 MAR      FRI 04 APR
HW09                             FRI 04 APR       FRI 11 APR
HW10                             FRI 11 APR       FRI  02 MAY   

LECTURE NOTES                                                                                                                        


BARTON

CH1.1-1.3
CH1.4

CH2.1-2.2      SEC.2.2.13.NB   SEC.2.2.13.NB.PDF
CH2.3
CH2.4

CH3.1-3
CH3.4-5

CH4.1-3
CH4.4-5

CH5.1.1-5.3.2
CH5.3.3-5.5

CH6.0-6.3
CH6.4

CH8.1-8.3
CH8.4
CH8.5

CH9.1-9.2.4
CH9.2.5                     CH9.2.5.nb
CH9.4.1-9.4.3           CH9.4.3.nb
CH9.4.4                     CH9.4.4nb

CH10.1-10.3.2
CH10.3.3-10.4.1
CH10.5.1-2.PDF         CH10.5.1-2.NB
CH10.5.3
CH10.5.3.X


SPECIAL EVENTS
WED 15 JAN:   FIRST DAY OF CLASS
MON 20 JAN:   MLK HOLIDAY
MON 03 MAR:  MARDI GRAS HOLIDAY
WED 05 MAR:  MARDI GRAS HOLIDAY 
MON 14 APR:   SPRING BREAK
WED 16 APR:   SPRING BREAK
FRI 18 APR:      SPRING BREAK
FRI 02 MAY:     LAST DAY CLASS